From fc499e4e8d6900b30d025b1fb80e0837fd1616d9 Mon Sep 17 00:00:00 2001 From: Zachary Bonagura Date: Mon, 9 Dec 2024 21:34:03 -0500 Subject: [PATCH 1/6] Added not_place_holder function Added not_place_holder function --- aris/src/expr.rs | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/aris/src/expr.rs b/aris/src/expr.rs index 21f57a99..40fddb55 100644 --- a/aris/src/expr.rs +++ b/aris/src/expr.rs @@ -441,6 +441,10 @@ impl Expr { pub fn apply(func: Expr, args: &[Expr]) -> Expr { Expr::Apply { func: Box::new(func), args: args.to_vec() } } + /// Helper for constructing `Not` nodes + pub fn not_place_holder() -> Expr { + Expr::Not { operand: Box::new(Expr::var("_")) } + } /// Construct an error message placeholder for an implication pub fn impl_place_holder() -> Expr { Expr::implies(Expr::var("_"), Expr::var("_")) @@ -454,11 +458,11 @@ impl Expr { Expr::Assoc { op, exprs: exprs.to_vec() } } /// Construct an error message placeholder for an associative operator - pub fn assocplaceholder(op: Op) -> Expr { + pub fn assoc_place_holder(op: Op) -> Expr { Expr::assoc(op, &[Expr::var("_"), Expr::var("_"), Expr::var("...")]) } /// Construct an error message placeholder for a quantifier - pub fn quant_placeholder(kind: QuantKind) -> Expr { + pub fn quant_place_holder(kind: QuantKind) -> Expr { Expr::Quant { kind, name: "_".to_owned(), body: Box::new(Expr::var("_")) } } /// Helper for constructing `Forall` nodes From 1f0eb23025c4d7df85267021a3df3808a82f38b1 Mon Sep 17 00:00:00 2001 From: Zachary Bonagura Date: Mon, 9 Dec 2024 21:35:28 -0500 Subject: [PATCH 2/6] New layout for rules New layout for rules, consisting of new Misc. Inference category with Boolean Inference, Conditional Inference, Biconditional Inference, and Quantifier Inference. As well as moving special rules and induction category to top level --- web-app/src/components/proof_widget/mod.rs | 117 ++++++++++++++------- 1 file changed, 79 insertions(+), 38 deletions(-) diff --git a/web-app/src/components/proof_widget/mod.rs b/web-app/src/components/proof_widget/mod.rs index 3aea749d..16644493 100644 --- a/web-app/src/components/proof_widget/mod.rs +++ b/web-app/src/components/proof_widget/mod.rs @@ -166,60 +166,101 @@ impl ProofWidget { /// /// [lib]: https://github.com/vsn4ik/bootstrap-submenu fn render_rules_menu(&self, ctx: &Context, jref:

::JustificationReference, cur_rule_name: &str) -> Html { - let equivalence_classes = [RuleClassification::BooleanEquivalence, RuleClassification::ConditionalEquivalence, RuleClassification::BiconditionalEquivalence, RuleClassification::QuantifierEquivalence]; - - let render_rules = |rules: Vec| { - rules - .into_iter() - .map(|rule| { - let pjref = Coproduct::inject(jref); - let image_src = format!("{}/{}.png", if theme() == "dark" { "proofImages_dark" } else { "proofImages_light" }, rule.get_name()); - html! { - - } - }) - .collect::>() - }; - - let render_class = |rule_class: RuleClassification| { - let rules = render_rules(rule_class.rules().collect()); + let equivalence_classes = [ + RuleClassification::BooleanEquivalence, + RuleClassification::ConditionalEquivalence, + RuleClassification::BiconditionalEquivalence, + RuleClassification::QuantifierEquivalence, + ]; + + let misc_inference_classes = [ + RuleClassification::BooleanInference, + RuleClassification::ConditionalInference, + RuleClassification::BiconditionalInference, + RuleClassification::QuantifierInference, + ]; + + let special_rule_names = ["Reiteration", "Resolution", "Truth-Functional Consequence"]; + + let render_rule_button = |rule: Rule| { + let pjref = Coproduct::inject(jref); + let image_src = format!( + "{}/{}.png", + if theme() == "dark" { "proofImages_dark" } else { "proofImages_light" }, + rule.get_name() + ); html! { -

- -
{ rules }
-
+ } }; - - let equivalence_submenu = equivalence_classes.iter().map(|&class| render_class(class)).collect::>(); - let non_equivalence_menu = RuleClassification::iter().filter(|class| !equivalence_classes.contains(class)).map(render_class).collect::>(); - + + let render_rules_from_class = |class: RuleClassification| html! { +
+ +
+ { for class.rules().map(render_rule_button) } +
+
+ }; + + let special_rules = RuleClassification::iter() + .flat_map(|c| c.rules()) + .filter(|r| special_rule_names.contains(&r.get_name().as_str())) + .map(render_rule_button); + + let induction_category = RuleClassification::iter() + .find(|c| c.to_string() == "Induction") + .map(render_rules_from_class); + + let misc_inference_submenu = misc_inference_classes + .iter() + .map(|&c| render_rules_from_class(c)); + + let equivalence_submenu = equivalence_classes + .iter() + .map(|&c| render_rules_from_class(c)); + + let other_menus = RuleClassification::iter() + .filter(|c| { + !special_rule_names.contains(&c.to_string().as_str()) + && c.to_string() != "Induction" + && !equivalence_classes.contains(c) + && !misc_inference_classes.contains(c) + && c.to_string() != "Special" + }) + .map(render_rules_from_class); + html! {
- { non_equivalence_menu } + { for other_menus } +
+ +
{ for misc_inference_submenu }
+
-
{ equivalence_submenu }
+
{ for equivalence_submenu }
+ { for special_rules } + { induction_category.unwrap_or_else(|| html! {}) }
} } + + fn render_justification_widget(&self, ctx: &Context, jref:

::JustificationReference) -> Html { let just = self.prf.lookup_justification_or_die(&jref).expect("proofref should exist in self.prf"); From 29901b0fcab38fccd224351982dc769f71d84fda Mon Sep 17 00:00:00 2001 From: Zachary Bonagura Date: Mon, 9 Dec 2024 21:37:16 -0500 Subject: [PATCH 3/6] Reorganized rules into new inference categories, new rules Reorganized rules into new inference categories for Boolean Inference, Conditional Inference, Biconditional Inference, Quantifier Inference. New Special rule type. New induction rule type. New rules and rule enhancements --- aris/src/proofs/java_shallow_proof.rs | 2 +- aris/src/proofs/lined_proof.rs | 4 +- aris/src/proofs/proof_tests.rs | 290 ++++- aris/src/rules.rs | 1414 +++++++++++++++++-------- bindings/java/src/java_rule.rs | 9 +- 5 files changed, 1211 insertions(+), 508 deletions(-) diff --git a/aris/src/proofs/java_shallow_proof.rs b/aris/src/proofs/java_shallow_proof.rs index f2dc2654..5448d30f 100644 --- a/aris/src/proofs/java_shallow_proof.rs +++ b/aris/src/proofs/java_shallow_proof.rs @@ -28,7 +28,7 @@ impl Proof for JavaShallowProof { Some(r.clone()) } fn lookup_step(&self, r: &Self::JustificationReference) -> Option, Self::SubproofReference>> { - Some(Justification(r.clone(), RuleM::Reit, vec![], vec![])) + Some(Justification(r.clone(), RuleM::Reiteration, vec![], vec![])) } fn lookup_subproof(&self, r: &Self::SubproofReference) -> Option { Some(r.clone()) diff --git a/aris/src/proofs/lined_proof.rs b/aris/src/proofs/lined_proof.rs index 5cbcf11a..9a94a186 100644 --- a/aris/src/proofs/lined_proof.rs +++ b/aris/src/proofs/lined_proof.rs @@ -117,13 +117,13 @@ where let line: Option> = self.lines.get(i).cloned(); match line { None => { - let r = if is_premise { Inl(self.proof.add_premise(const_true)) } else { Inr(Inl(self.proof.add_step(Justification(const_true, RuleM::Reit, vec![], vec![])))) }; + let r = if is_premise { Inl(self.proof.add_premise(const_true)) } else { Inr(Inl(self.proof.add_step(Justification(const_true, RuleM::Reiteration, vec![], vec![])))) }; self.lines.push(Line { raw_expr: "".into(), is_premise, reference: r, subreference: None }); } Some(line) => { let r = match (is_premise, line.reference.clone()) { (true, Inl(pr)) => Inl(self.proof.add_premise_relative(const_true, &pr, true)), - (false, Inr(Inl(jr))) => Inr(Inl(self.proof.add_step_relative(Justification(const_true, RuleM::Reit, vec![], vec![]), &Coproduct::inject(jr), true))), + (false, Inr(Inl(jr))) => Inr(Inl(self.proof.add_step_relative(Justification(const_true, RuleM::Reiteration, vec![], vec![]), &Coproduct::inject(jr), true))), (_, Inr(Inr(void))) => match void {}, (b, r) => panic!("LinedProof::add_line, is_premise was {b}, but the line reference was {r:?}"), }; diff --git a/aris/src/proofs/proof_tests.rs b/aris/src/proofs/proof_tests.rs index 959d6f68..4c2854a4 100644 --- a/aris/src/proofs/proof_tests.rs +++ b/aris/src/proofs/proof_tests.rs @@ -62,14 +62,17 @@ macro_rules! generate_tests { macro_rules! enumerate_subproofless_tests { ($x:ty, $y:ident) => { generate_tests! { $x, $y; - test_andelim, test_contelim, test_orintro, test_reit, test_andintro, + test_andelim, test_contelim, test_orintro, test_reiteration, test_andintro, test_contradictionintro, test_notelim, test_impelim, test_commutation_bool, test_commutation_bicon, test_association_bool, test_association_bicon, - test_demorgan, test_idempotence, test_doublenegation, - test_distribution, test_complement, test_identity, test_annihilation, - test_inverse, test_absorption, test_reduction, test_adjacency, test_resolution, - test_tautcon, test_empty_rule, test_modus_tollens, test_hypothetical_syllogism, - test_disjunctive_syllogism, test_constructive_dilemma, test_halfdemorgan, + test_demorgan, test_idempotence, test_doublenegation, test_distribution, + test_complement, test_identity, test_annihilation, test_inverse, test_absorption, + test_reduction, test_adjacency, test_resolution, test_tautcon, test_empty_rule, + test_modus_tollens, test_hypothetical_syllogism, test_disjunctive_syllogism, + test_constructive_dilemma, test_destructive_dilemma, test_halfdemorgan, + test_strengthen_antecedent, test_weaken_consequent, test_con_intro_negation, + test_con_elim_negation, test_bicon_intro, test_bicon_intro_negation, + test_bicon_elim, test_bicon_elim_negation, test_exclusion, test_excluded_middle, test_weak_induction, test_strong_induction, test_bicon_contraposition, } @@ -112,7 +115,7 @@ where let r4 = prf.add_subproof(); prf.with_mut_subproof(&r4, |sub| { sub.add_premise(p("C")); - sub.add_step(Justification(p("A & B"), RuleM::Reit, vec![i(r3.clone())], vec![])); + sub.add_step(Justification(p("A & B"), RuleM::Reiteration, vec![i(r3.clone())], vec![])); }); let r5 = prf.add_step(Justification(p("C -> (A & B)"), RuleM::ImpIntro, vec![], vec![r4.clone()])); assert_eq!(prf.lookup_premise(&r1), Some(p("A"))); @@ -163,13 +166,13 @@ pub fn test_orintro() -> (P, Vec>, Vec>) { (prf, vec![i(r2)], vec![i(r3), i(r4)]) } -pub fn test_reit() -> (P, Vec>, Vec>) { +pub fn test_reiteration() -> (P, Vec>, Vec>) { use self::coproduct_inject as i; use crate::parser::parse_unwrap as p; let mut prf = P::new(); let r1 = prf.add_premise(p("A")); - let r2 = prf.add_step(Justification(p("A"), RuleM::Reit, vec![i(r1.clone())], vec![])); - let r3 = prf.add_step(Justification(p("B"), RuleM::Reit, vec![i(r1)], vec![])); + let r2 = prf.add_step(Justification(p("A"), RuleM::Reiteration, vec![i(r1.clone())], vec![])); + let r3 = prf.add_step(Justification(p("B"), RuleM::Reiteration, vec![i(r1)], vec![])); (prf, vec![i(r2)], vec![i(r3)]) } @@ -286,7 +289,7 @@ where let r4 = prf .with_mut_subproof(&r5, |sub1| { let _r3 = sub1.add_premise(p("A")); - let r4 = sub1.add_step(Justification(p("B"), RuleM::Reit, vec![i(r2.clone())], vec![])); + let r4 = sub1.add_step(Justification(p("B"), RuleM::Reiteration, vec![i(r2.clone())], vec![])); println!("{sub1:?}"); r4 }) @@ -295,7 +298,7 @@ where let r7 = prf .with_mut_subproof(&r8, |sub2| { let _r6 = sub2.add_premise(p("A")); - let r7 = sub2.add_step(Justification(p("A"), RuleM::Reit, vec![i(r1.clone())], vec![])); + let r7 = sub2.add_step(Justification(p("A"), RuleM::Reiteration, vec![i(r1.clone())], vec![])); println!("{sub2:?}"); r7 }) @@ -329,17 +332,17 @@ pub fn test_orelim() -> (P, Vec>, Vec>) { let r4 = prf.add_subproof(); prf.with_mut_subproof(&r4, |sub1| { let _r2 = sub1.add_premise(p("A")); - let _r3 = sub1.add_step(Justification(p("C"), RuleM::Reit, vec![], vec![])); + let _r3 = sub1.add_step(Justification(p("C"), RuleM::Reiteration, vec![], vec![])); }); let r7 = prf.add_subproof(); prf.with_mut_subproof(&r7, |sub2| { let _r5 = sub2.add_premise(p("B")); - let _r6 = sub2.add_step(Justification(p("C"), RuleM::Reit, vec![], vec![])); + let _r6 = sub2.add_step(Justification(p("C"), RuleM::Reiteration, vec![], vec![])); }); let r10 = prf.add_subproof(); prf.with_mut_subproof(&r10, |sub3| { let _r8 = sub3.add_premise(p("B")); - let _r9 = sub3.add_step(Justification(p("D"), RuleM::Reit, vec![], vec![])); + let _r9 = sub3.add_step(Justification(p("D"), RuleM::Reiteration, vec![], vec![])); }); let r11 = prf.add_step(Justification(p("C"), RuleM::OrElim, vec![i(r1.clone())], vec![r4.clone(), r7.clone()])); let r12 = prf.add_step(Justification(p("D"), RuleM::OrElim, vec![i(r1.clone())], vec![r4.clone(), r7.clone()])); @@ -373,21 +376,21 @@ where let r14 = prf.add_subproof(); prf.with_mut_subproof(&r14, |sub2| { sub2.add_premise(p("A")); - sub2.add_step(Justification(p("B"), RuleM::Reit, vec![], vec![])); - sub2.add_step(Justification(p("C"), RuleM::Reit, vec![], vec![])); + sub2.add_step(Justification(p("B"), RuleM::Reiteration, vec![], vec![])); + sub2.add_step(Justification(p("C"), RuleM::Reiteration, vec![], vec![])); }); let r15 = prf.add_subproof(); prf.with_mut_subproof(&r15, |sub2| { sub2.add_premise(p("B")); - sub2.add_step(Justification(p("A"), RuleM::Reit, vec![], vec![])); - sub2.add_step(Justification(p("C"), RuleM::Reit, vec![], vec![])); + sub2.add_step(Justification(p("A"), RuleM::Reiteration, vec![], vec![])); + sub2.add_step(Justification(p("C"), RuleM::Reiteration, vec![], vec![])); }); let r16 = prf.add_step(Justification(p("A <-> B"), RuleM::BiconditionalIntro, vec![], vec![r14.clone(), r15.clone()])); let r17 = prf.add_step(Justification(p("A <-> C"), RuleM::BiconditionalIntro, vec![], vec![r14.clone(), r15.clone()])); let r18 = prf.add_subproof(); prf.with_mut_subproof(&r18, |sub2| { sub2.add_premise(p("P")); - sub2.add_step(Justification(p("Q"), RuleM::Reit, vec![], vec![])); + sub2.add_step(Justification(p("Q"), RuleM::Reiteration, vec![], vec![])); }); let r19 = prf.add_step(Justification(p("P <-> Q"), RuleM::BiconditionalIntro, vec![i(r3)], vec![r18.clone()])); (prf, vec![i(r7), i(r11), i(r16), i(r19)], vec![i(r8), i(r9), i(r12), i(r13), i(r17)]) @@ -419,21 +422,21 @@ where let r14 = prf.add_subproof(); prf.with_mut_subproof(&r14, |sub2| { sub2.add_premise(p("A")); - sub2.add_step(Justification(p("B"), RuleM::Reit, vec![], vec![])); - sub2.add_step(Justification(p("C"), RuleM::Reit, vec![], vec![])); + sub2.add_step(Justification(p("B"), RuleM::Reiteration, vec![], vec![])); + sub2.add_step(Justification(p("C"), RuleM::Reiteration, vec![], vec![])); }); let r15 = prf.add_subproof(); prf.with_mut_subproof(&r15, |sub2| { sub2.add_premise(p("B")); - sub2.add_step(Justification(p("A"), RuleM::Reit, vec![], vec![])); - sub2.add_step(Justification(p("C"), RuleM::Reit, vec![], vec![])); + sub2.add_step(Justification(p("A"), RuleM::Reiteration, vec![], vec![])); + sub2.add_step(Justification(p("C"), RuleM::Reiteration, vec![], vec![])); }); let r16 = prf.add_step(Justification(p("A === B"), RuleM::EquivalenceIntro, vec![], vec![r14.clone(), r15.clone()])); let r17 = prf.add_step(Justification(p("A === C"), RuleM::EquivalenceIntro, vec![], vec![r14.clone(), r15.clone()])); let r18 = prf.add_subproof(); prf.with_mut_subproof(&r18, |sub2| { sub2.add_premise(p("P")); - sub2.add_step(Justification(p("Q"), RuleM::Reit, vec![], vec![])); + sub2.add_step(Justification(p("Q"), RuleM::Reiteration, vec![], vec![])); }); let r19 = prf.add_step(Justification(p("P === Q"), RuleM::EquivalenceIntro, vec![i(r3)], vec![r18.clone()])); (prf, vec![i(r7), i(r8), i(r9), i(r11), i(r16), i(r19)], vec![i(r12), i(r13), i(r17)]) @@ -494,7 +497,7 @@ where let r10 = prf.add_subproof(); let r11 = prf .with_mut_subproof(&r10, |sub| { - let r11 = sub.add_step(Justification(p("r(c)"), RuleM::Reit, vec![i(r3.clone())], vec![])); + let r11 = sub.add_step(Justification(p("r(c)"), RuleM::Reiteration, vec![i(r3.clone())], vec![])); println!("contained {:?}", sub.contained_justifications(true)); println!("reachable {:?}", sub.transitive_dependencies(i(r11.clone()))); println!("reachable-contained {:?}", sub.transitive_dependencies(i(r11.clone())).difference(&sub.contained_justifications(true)).collect::>()); @@ -509,7 +512,7 @@ where let (r17, r18) = sub1 .with_mut_subproof(&r14, |sub2| { let r15 = sub2.add_subproof(); - let r17 = sub2.with_mut_subproof(&r15, |sub3| sub3.add_step(Justification(p("s(a, b)"), RuleM::Reit, vec![], vec![]))).unwrap(); + let r17 = sub2.with_mut_subproof(&r15, |sub3| sub3.add_step(Justification(p("s(a, b)"), RuleM::Reiteration, vec![], vec![]))).unwrap(); let r18 = sub2.add_step(Justification(p("forall y s(a, y)"), RuleM::ForallIntro, vec![], vec![r15])); (r17, r18) }) @@ -524,7 +527,7 @@ where .with_mut_subproof(&r20, |sub| { let r21 = sub.add_premise(p("a")); - sub.add_step(Justification(p("a"), RuleM::Reit, vec![i(r21)], vec![])) + sub.add_step(Justification(p("a"), RuleM::Reiteration, vec![i(r21)], vec![])) }) .unwrap(); let r23 = prf.add_step(Justification(p("forall x x"), RuleM::ForallIntro, vec![], vec![r20])); @@ -542,7 +545,7 @@ where let mut prf = P::new(); let r1 = prf.add_premise(p("p(a)")); - let r2 = prf.add_step(Justification(p("p(b) & p(b)"), RuleM::Reit, vec![], vec![])); + let r2 = prf.add_step(Justification(p("p(b) & p(b)"), RuleM::Reiteration, vec![], vec![])); let r3 = prf.add_step(Justification(p("exists x p(x)"), RuleM::ExistsIntro, vec![i(r1.clone())], vec![])); let r4 = prf.add_step(Justification(p("exists x p(a)"), RuleM::ExistsIntro, vec![i(r1.clone())], vec![])); let r5 = prf.add_step(Justification(p("exists x p(b)"), RuleM::ExistsIntro, vec![i(r1)], vec![])); @@ -1039,15 +1042,16 @@ pub fn test_resolution() -> (P, Vec>, Vec>) { let r1 = prf.add_step(Justification(p("a1 | a2 | b1 | b2"), RuleM::Resolution, vec![i(p1.clone()), i(p2.clone())], vec![])); let r2 = prf.add_step(Justification(p("a1 | a2"), RuleM::Resolution, vec![i(p1.clone()), i(p3.clone())], vec![])); let r3 = prf.add_step(Justification(p("_|_"), RuleM::Resolution, vec![i(p3.clone()), i(p4)], vec![])); - let r4 = prf.add_step(Justification(p("a1 & a2"), RuleM::Resolution, vec![i(p3.clone()), i(p6)], vec![])); + let r4 = prf.add_step(Justification(p("a1 & a2"), RuleM::Resolution, vec![i(p3.clone()), i(p6.clone())], vec![])); let r5 = prf.add_step(Justification(p("a1 | a2 | c | b1 | b2"), RuleM::Resolution, vec![i(p1.clone()), i(p2.clone())], vec![])); - let r6 = prf.add_step(Justification(p("a1 | a2 | b1"), RuleM::Resolution, vec![i(p1), i(p2)], vec![])); + let r6 = prf.add_step(Justification(p("a1 | a2 | b1"), RuleM::Resolution, vec![i(p1.clone()), i(p2.clone())], vec![])); let r7 = prf.add_step(Justification(p("a1 | a2"), RuleM::Resolution, vec![i(p5.clone()), i(p3.clone())], vec![])); - let r8 = prf.add_step(Justification(p("a1 | a2"), RuleM::Resolution, vec![i(p3), i(p5.clone())], vec![])); + let r8 = prf.add_step(Justification(p("a1 | a2"), RuleM::Resolution, vec![i(p3.clone()), i(p5.clone())], vec![])); let r9 = prf.add_step(Justification(p("a1 | a2"), RuleM::Resolution, vec![i(p5.clone()), i(p5)], vec![])); + let r10 = prf.add_step(Justification(p("a1 | a2 | b1 | b2 | z | d | e | f"), RuleM::Resolution, vec![i(p1.clone()), i(p2.clone())], vec![])); - (prf, vec![i(r1), i(r2), i(r3), i(r4)], vec![i(r5), i(r6), i(r7), i(r8), i(r9)]) + (prf, vec![i(r1), i(r2), i(r3), i(r4)], vec![i(r5), i(r6), i(r7), i(r8), i(r9), i(r10)]) } pub fn test_tautcon() -> (P, Vec>, Vec>) { @@ -1103,6 +1107,14 @@ pub fn test_modus_tollens() -> (P, Vec>, Vec>) { let r3 = prf.add_premise(p("P")); let r4 = prf.add_premise(p("~A")); let r5 = prf.add_premise(p("A -> A")); + + let r15 = prf.add_premise(p("P -> ~Q")); + let r16 = prf.add_premise(p("Q")); + let r19 = prf.add_premise(p("~P -> Q")); + let r20 = prf.add_premise(p("~Q")); + let r23 = prf.add_premise(p("~P -> ~Q")); + let r24 = prf.add_premise(p("Q")); + let r6 = prf.add_step(Justification(p("~P"), RuleM::ModusTollens, vec![i(r1.clone()), i(r2.clone())], vec![])); let r7 = prf.add_step(Justification(p("~P"), RuleM::ModusTollens, vec![i(r2.clone()), i(r1.clone())], vec![])); let r8 = prf.add_step(Justification(p("~B"), RuleM::ModusTollens, vec![i(r1.clone()), i(r2.clone())], vec![])); @@ -1112,7 +1124,15 @@ pub fn test_modus_tollens() -> (P, Vec>, Vec>) { let r12 = prf.add_step(Justification(p("Q"), RuleM::ModusTollens, vec![i(r2.clone()), i(r4.clone())], vec![])); let r13 = prf.add_step(Justification(p("~A"), RuleM::ModusTollens, vec![i(r4), i(r5)], vec![])); let r14 = prf.add_step(Justification(p("~P"), RuleM::ModusTollens, vec![i(r2), i(r1)], vec![])); - (prf, vec![i(r6), i(r7), i(r13), i(r14)], vec![i(r8), i(r9), i(r10), i(r11), i(r12)]) + + let r17 = prf.add_step(Justification(p("~P"), RuleM::ModusTollens, vec![i(r15.clone()), i(r16.clone())], vec![])); + let r18 = prf.add_step(Justification(p("~P"), RuleM::ModusTollens, vec![i(r16.clone()), i(r15.clone())], vec![])); + let r21 = prf.add_step(Justification(p("P"), RuleM::ModusTollens, vec![i(r19.clone()), i(r20.clone())], vec![])); + let r22 = prf.add_step(Justification(p("P"), RuleM::ModusTollens, vec![i(r20.clone()), i(r19.clone())], vec![])); + let r25 = prf.add_step(Justification(p("P"), RuleM::ModusTollens, vec![i(r23.clone()), i(r24.clone())], vec![])); + let r26 = prf.add_step(Justification(p("P"), RuleM::ModusTollens, vec![i(r24.clone()), i(r23.clone())], vec![])); + + (prf, vec![i(r6), i(r7), i(r13), i(r14), i(r17), i(r18), i(r21), i(r22), i(r25), i(r26)], vec![i(r8), i(r9), i(r10), i(r11), i(r12)]) } pub fn test_hypothetical_syllogism() -> (P, Vec>, Vec>) { @@ -1175,6 +1195,34 @@ pub fn test_constructive_dilemma() -> (P, Vec>, Vec> (prf, vec![i(r6), i(r7)], vec![i(r8), i(r9), i(r10), i(r11), i(r12), i(r13)]) } +pub fn test_destructive_dilemma() -> (P, Vec>, Vec>) { + use self::coproduct_inject as i; + use crate::parser::parse_unwrap as p; + let mut prf = P::new(); + let r1 = prf.add_premise(p("~R | ~S")); + let r2 = prf.add_premise(p("P -> R")); + let r3 = prf.add_premise(p("Q -> S")); + + let r4 = prf.add_step(Justification(p("~P | ~Q"), RuleM::DestructiveDilemma, vec![i(r1.clone()), i(r2.clone()), i(r3.clone())], vec![])); + let r5 = prf.add_step(Justification(p("~Q | ~P"), RuleM::DestructiveDilemma, vec![i(r1.clone()), i(r2.clone()), i(r3.clone())], vec![])); + let r6 = prf.add_step(Justification(p("~P | ~Q"), RuleM::DestructiveDilemma, vec![i(r1.clone()), i(r3.clone()), i(r2.clone())], vec![])); + let r7 = prf.add_step(Justification(p("~Q | ~P"), RuleM::DestructiveDilemma, vec![i(r1.clone()), i(r3.clone()), i(r2.clone())], vec![])); + let r8 = prf.add_step(Justification(p("~P | ~Q"), RuleM::DestructiveDilemma, vec![i(r2.clone()), i(r1.clone()), i(r3.clone())], vec![])); + let r9 = prf.add_step(Justification(p("~Q | ~P"), RuleM::DestructiveDilemma, vec![i(r2.clone()), i(r1.clone()), i(r3.clone())], vec![])); + let r10 = prf.add_step(Justification(p("~P | ~Q"), RuleM::DestructiveDilemma, vec![i(r2.clone()), i(r3.clone()), i(r1.clone())], vec![])); + let r11 = prf.add_step(Justification(p("~Q | ~P"), RuleM::DestructiveDilemma, vec![i(r2.clone()), i(r3.clone()), i(r1.clone())], vec![])); + let r12 = prf.add_step(Justification(p("~P | ~Q"), RuleM::DestructiveDilemma, vec![i(r3.clone()), i(r1.clone()), i(r2.clone())], vec![])); + let r13 = prf.add_step(Justification(p("~Q | ~P"), RuleM::DestructiveDilemma, vec![i(r3.clone()), i(r1.clone()), i(r2.clone())], vec![])); + let r14 = prf.add_step(Justification(p("~P | ~Q"), RuleM::DestructiveDilemma, vec![i(r3.clone()), i(r2.clone()), i(r1.clone())], vec![])); + let r15 = prf.add_step(Justification(p("~Q | ~P"), RuleM::DestructiveDilemma, vec![i(r3.clone()), i(r2.clone()), i(r1.clone())], vec![])); + + let r16 = prf.add_step(Justification(p("P | ~Q"), RuleM::DestructiveDilemma, vec![i(r1.clone()), i(r2.clone()), i(r3.clone())], vec![])); + let r17 = prf.add_step(Justification(p("Q | ~P"), RuleM::DestructiveDilemma, vec![i(r1.clone()), i(r2.clone()), i(r3.clone())], vec![])); + let r18 = prf.add_step(Justification(p("~P"), RuleM::DestructiveDilemma, vec![i(r1.clone()), i(r2.clone()), i(r3.clone())], vec![])); + + (prf, vec![i(r4), i(r5), i(r6), i(r7), i(r8), i(r9), i(r10), i(r11), i(r12), i(r13), i(r14), i(r15)], vec![i(r16), i(r17), i(r18)]) +} + pub fn test_halfdemorgan() -> (P, Vec>, Vec>) { use self::coproduct_inject as i; use crate::parser::parse_unwrap as p; @@ -1194,6 +1242,180 @@ pub fn test_halfdemorgan() -> (P, Vec>, Vec>) { (prf, vec![i(r4), i(r5), i(r6), i(r8), i(r9), i(r11)], vec![i(r7), i(r10)]) } +pub fn test_strengthen_antecedent() -> (P, Vec>, Vec>) { + use self::coproduct_inject as i; + use crate::parser::parse_unwrap as p; + let mut prf = P::new(); + let r1 = prf.add_premise(p("P -> R")); + let r2 = prf.add_premise(p("(P | Q) -> R")); + + let r3 = prf.add_step(Justification(p("(P & Q) -> R"), RuleM::StrengthenAntecedent, vec![i(r1.clone())], vec![])); + let r4 = prf.add_step(Justification(p("(Q & P) -> R"), RuleM::StrengthenAntecedent, vec![i(r1.clone())], vec![])); + let r5 = prf.add_step(Justification(p("P -> R"), RuleM::StrengthenAntecedent, vec![i(r2.clone())], vec![])); + let r6 = prf.add_step(Justification(p("Q -> R"), RuleM::StrengthenAntecedent, vec![i(r2.clone())], vec![])); + + let r7 = prf.add_step(Justification(p("Q -> R"), RuleM::StrengthenAntecedent, vec![i(r1.clone())], vec![])); + let r8 = prf.add_step(Justification(p("(P | Q | S) -> R"), RuleM::StrengthenAntecedent, vec![i(r2.clone())], vec![])); + let r9 = prf.add_step(Justification(p("S -> R"), RuleM::StrengthenAntecedent, vec![i(r2.clone())], vec![])); + + (prf, vec![i(r3), i(r4), i(r5), i(r6)], vec![i(r7), i(r8), i(r9)]) +} + +pub fn test_weaken_consequent() -> (P, Vec>, Vec>) { + use self::coproduct_inject as i; + use crate::parser::parse_unwrap as p; + let mut prf = P::new(); + let r1 = prf.add_premise(p("P -> (Q & R)")); + let r2 = prf.add_premise(p("P -> Q")); + + let r3 = prf.add_step(Justification(p("P -> Q"), RuleM::WeakenConsequent, vec![i(r1.clone())], vec![])); + let r4 = prf.add_step(Justification(p("P -> R"), RuleM::WeakenConsequent, vec![i(r1.clone())], vec![])); + let r5 = prf.add_step(Justification(p("P -> (Q | R)"), RuleM::WeakenConsequent, vec![i(r2.clone())], vec![])); + let r6 = prf.add_step(Justification(p("P -> (R | Q)"), RuleM::WeakenConsequent, vec![i(r2.clone())], vec![])); + + let r7 = prf.add_step(Justification(p("R -> P"), RuleM::WeakenConsequent, vec![i(r1.clone())], vec![])); + let r8 = prf.add_step(Justification(p("P -> (Q & R)"), RuleM::WeakenConsequent, vec![i(r2.clone())], vec![])); + let r9 = prf.add_step(Justification(p("P -> (Z | R)"), RuleM::WeakenConsequent, vec![i(r2.clone())], vec![])); + + (prf, vec![i(r3), i(r4), i(r5), i(r6)], vec![i(r7), i(r8), i(r9)]) +} + +pub fn test_con_intro_negation() -> (P, Vec>, Vec>) { + use self::coproduct_inject as i; + use crate::parser::parse_unwrap as p; + let mut prf = P::new(); + let r1 = prf.add_premise(p("~P")); + let r2 = prf.add_premise(p("Q")); + + let r3 = prf.add_step(Justification(p("P -> Q"), RuleM::ConIntroNegation, vec![i(r1.clone())], vec![])); + let r4 = prf.add_step(Justification(p("P -> Q"), RuleM::ConIntroNegation, vec![i(r2.clone())], vec![])); + + let r5 = prf.add_step(Justification(p("~P -> Q"), RuleM::ConIntroNegation, vec![i(r1.clone())], vec![])); + let r6 = prf.add_step(Justification(p("P -> ~Q"), RuleM::ConIntroNegation, vec![i(r1.clone())], vec![])); + let r7 = prf.add_step(Justification(p("~P -> Q"), RuleM::ConIntroNegation, vec![i(r2.clone())], vec![])); + let r8 = prf.add_step(Justification(p("P -> ~Q"), RuleM::ConIntroNegation, vec![i(r2.clone())], vec![])); + + (prf, vec![i(r3), i(r4)], vec![i(r5), i(r6), i(r7), i(r8)]) +} +pub fn test_con_elim_negation() -> (P, Vec>, Vec>) { + use self::coproduct_inject as i; + use crate::parser::parse_unwrap as p; + let mut prf = P::new(); + let r1 = prf.add_premise(p("~(P -> Q)")); + + let r2 = prf.add_premise(p("P -> Q")); + + let r3 = prf.add_step(Justification(p("P"), RuleM::ConElimNegation, vec![i(r1.clone())], vec![])); + let r4 = prf.add_step(Justification(p("~Q"), RuleM::ConElimNegation, vec![i(r1.clone())], vec![])); + + let r5 = prf.add_step(Justification(p("~P"), RuleM::ConElimNegation, vec![i(r1.clone())], vec![])); + let r6 = prf.add_step(Justification(p("Q"), RuleM::ConElimNegation, vec![i(r1.clone())], vec![])); + + let r7 = prf.add_step(Justification(p("P"), RuleM::ConElimNegation, vec![i(r2.clone())], vec![])); + let r8 = prf.add_step(Justification(p("~Q"), RuleM::ConElimNegation, vec![i(r2.clone())], vec![])); + + (prf, vec![i(r3), i(r4)], vec![i(r5), i(r6), i(r7), i(r8)]) +} +pub fn test_bicon_intro() -> (P, Vec>, Vec>) { + use self::coproduct_inject as i; + use crate::parser::parse_unwrap as p; + let mut prf = P::new(); + let r1 = prf.add_premise(p("P")); + let r2 = prf.add_premise(p("Q")); + + let r3 = prf.add_premise(p("~P")); + let r4 = prf.add_premise(p("~Q")); + + let r5 = prf.add_step(Justification(p("P <-> Q"), RuleM::BiconIntro, vec![i(r1.clone()), i(r2.clone())], vec![])); + let r6 = prf.add_step(Justification(p("P <-> Q"), RuleM::BiconIntro, vec![i(r3.clone()), i(r4.clone())], vec![])); + let r7 = prf.add_step(Justification(p("~P <-> ~Q"), RuleM::BiconIntro, vec![i(r3.clone()), i(r4.clone())], vec![])); + + let r8 = prf.add_step(Justification(p("P <-> ~Q"), RuleM::BiconIntro, vec![i(r1.clone()), i(r2.clone())], vec![])); + let r9 = prf.add_step(Justification(p("~P <-> Q"), RuleM::BiconIntro, vec![i(r1.clone()), i(r2.clone())], vec![])); + let r10 = prf.add_step(Justification(p("P <-> ~Q"), RuleM::BiconIntro, vec![i(r3.clone()), i(r4.clone())], vec![])); + let r11 = prf.add_step(Justification(p("~P <-> Q"), RuleM::BiconIntro, vec![i(r3.clone()), i(r4.clone())], vec![])); + + (prf, vec![i(r5), i(r6), i(r7)], vec![i(r8), i(r9), i(r10), i(r11)]) +} +pub fn test_bicon_intro_negation() -> (P, Vec>, Vec>) { + use self::coproduct_inject as i; + use crate::parser::parse_unwrap as p; + let mut prf = P::new(); + let r1 = prf.add_premise(p("~P")); + let r2 = prf.add_premise(p("Q")); + + let r3 = prf.add_premise(p("P")); + let r4 = prf.add_premise(p("~Q")); + + let r5 = prf.add_step(Justification(p("~(P <-> Q)"), RuleM::BiconIntroNegation, vec![i(r1.clone()), i(r2.clone())], vec![])); + let r6 = prf.add_step(Justification(p("~(P <-> Q)"), RuleM::BiconIntroNegation, vec![i(r3.clone()), i(r4.clone())], vec![])); + + let r7 = prf.add_step(Justification(p("P <-> Q"), RuleM::BiconIntroNegation, vec![i(r1.clone()), i(r2.clone())], vec![])); + let r8 = prf.add_step(Justification(p("P <-> Q"), RuleM::BiconIntroNegation, vec![i(r3.clone()), i(r4.clone())], vec![])); + let r9 = prf.add_step(Justification(p("~(P <-> Q)"), RuleM::BiconIntroNegation, vec![i(r1.clone()), i(r4.clone())], vec![])); + let r10 = prf.add_step(Justification(p("~(P <-> Q)"), RuleM::BiconIntroNegation, vec![i(r2.clone()), i(r3.clone())], vec![])); + + (prf, vec![i(r5), i(r6)], vec![i(r7), i(r8), i(r9), i(r10)]) +} +pub fn test_bicon_elim() -> (P, Vec>, Vec>) { + use self::coproduct_inject as i; + use crate::parser::parse_unwrap as p; + let mut prf = P::new(); + let r1 = prf.add_premise(p("P <-> Q")); + let r2 = prf.add_premise(p("~P")); + let r3 = prf.add_premise(p("~Q")); + + let r4 = prf.add_step(Justification(p("~Q"), RuleM::BiconElim, vec![i(r1.clone()), i(r2.clone())], vec![])); + let r5 = prf.add_step(Justification(p("~P"), RuleM::BiconElim, vec![i(r1.clone()), i(r3.clone())], vec![])); + + let r6 = prf.add_step(Justification(p("Q"), RuleM::BiconElim, vec![i(r1.clone()), i(r2.clone())], vec![])); + let r7 = prf.add_step(Justification(p("P"), RuleM::BiconElim, vec![i(r1.clone()), i(r3.clone())], vec![])); + let r8 = prf.add_step(Justification(p("~Q"), RuleM::BiconElim, vec![i(r1.clone()), i(r3.clone())], vec![])); + let r9 = prf.add_step(Justification(p("~P"), RuleM::BiconElim, vec![i(r1.clone()), i(r2.clone())], vec![])); + + (prf, vec![i(r4), i(r5)], vec![i(r6), i(r7), i(r8), i(r9)]) +} +pub fn test_bicon_elim_negation() -> (P, Vec>, Vec>) { + use self::coproduct_inject as i; + use crate::parser::parse_unwrap as p; + let mut prf = P::new(); + let r1 = prf.add_premise(p("~(P <-> Q)")); + let r2 = prf.add_premise(p("P")); + let r3 = prf.add_premise(p("Q")); + + let r4 = prf.add_step(Justification(p("~Q"), RuleM::BiconElimNegation, vec![i(r1.clone()), i(r2.clone())], vec![])); + let r5 = prf.add_step(Justification(p("~P"), RuleM::BiconElimNegation, vec![i(r1.clone()), i(r3.clone())], vec![])); + + let r6 = prf.add_step(Justification(p("Q"), RuleM::BiconElimNegation, vec![i(r1.clone()), i(r2.clone())], vec![])); + let r7 = prf.add_step(Justification(p("P"), RuleM::BiconElimNegation, vec![i(r1.clone()), i(r3.clone())], vec![])); + let r8 = prf.add_step(Justification(p("~Q"), RuleM::BiconElimNegation, vec![i(r1.clone()), i(r3.clone())], vec![])); + let r9 = prf.add_step(Justification(p("~P"), RuleM::BiconElimNegation, vec![i(r1.clone()), i(r2.clone())], vec![])); + + (prf, vec![i(r4), i(r5)], vec![i(r6), i(r7), i(r8), i(r9)]) +} + +pub fn test_exclusion() -> (P, Vec>, Vec>) { + use self::coproduct_inject as i; + use crate::parser::parse_unwrap as p; + let mut prf = P::new(); + let r1 = prf.add_premise(p("~(P & Q)")); + let r2 = prf.add_premise(p("P")); + let r3 = prf.add_premise(p("Q")); + let r4 = prf.add_premise(p("~(P & ~Q)")); + let r5 = prf.add_premise(p("~(~P & Q)")); + + let r6 = prf.add_step(Justification(p("~Q"), RuleM::Exclusion, vec![i(r1.clone()), i(r2.clone())], vec![])); + let r7 = prf.add_step(Justification(p("~Q"), RuleM::Exclusion, vec![i(r2.clone()), i(r1.clone())], vec![])); + let r8 = prf.add_step(Justification(p("~P"), RuleM::Exclusion, vec![i(r1.clone()), i(r3.clone())], vec![])); + let r9 = prf.add_step(Justification(p("~P"), RuleM::Exclusion, vec![i(r3.clone()), i(r1.clone())], vec![])); + let r10 = prf.add_step(Justification(p("Q"), RuleM::Exclusion, vec![i(r4.clone()), i(r2.clone())], vec![])); + let r11 = prf.add_step(Justification(p("Q"), RuleM::Exclusion, vec![i(r2.clone()), i(r4.clone())], vec![])); + let r12 = prf.add_step(Justification(p("P"), RuleM::Exclusion, vec![i(r5.clone()), i(r3.clone())], vec![])); + let r13 = prf.add_step(Justification(p("P"), RuleM::Exclusion, vec![i(r3.clone()), i(r5.clone())], vec![])); + + (prf, vec![i(r6), i(r7), i(r8), i(r9), i(r10), i(r11), i(r12), i(r13)], vec![]) +} + pub fn test_excluded_middle() -> (P, Vec>, Vec>) { use self::coproduct_inject as i; use crate::parser::parse_unwrap as p; diff --git a/aris/src/rules.rs b/aris/src/rules.rs index 89a618d2..1b7c65f3 100644 --- a/aris/src/rules.rs +++ b/aris/src/rules.rs @@ -74,7 +74,6 @@ use frunk_core::coproduct::Coproduct::Inr; use frunk_core::Coprod; use itertools::Itertools; use maplit::btreeset; -use maplit::hashset; use petgraph::algo::tarjan_scc; use petgraph::graphmap::DiGraphMap; use strum_macros::*; @@ -82,7 +81,6 @@ use strum_macros::*; #[allow(missing_docs)] #[derive(Clone, Copy, Debug, PartialEq, Eq)] pub enum PrepositionalInference { - Reit, AndIntro, AndElim, OrIntro, @@ -108,6 +106,44 @@ pub enum PredicateInference { ExistsElim, } +#[allow(missing_docs)] +#[derive(Clone, Copy, Debug, PartialEq, Eq)] +pub enum BooleanInference { + DisjunctiveSyllogism, + Exclusion, + ExcludedMiddle, + HalfDeMorgan, +} + +#[allow(missing_docs)] +#[derive(Clone, Copy, Debug, PartialEq, Eq)] +pub enum ConditionalInference { + ModusTollens, + HypotheticalSyllogism, + ConstructiveDilemma, + DestructiveDilemma, + StrengthenAntecedent, + WeakenConsequent, + ConIntroNegation, + ConElimNegation, + +} + +#[allow(missing_docs)] +#[derive(Clone, Copy, Debug, PartialEq, Eq)] +pub enum BiconditionalInference { + BiconIntro, + BiconIntroNegation, + BiconElim, + BiconElimNegation, +} + +#[allow(missing_docs)] +#[derive(Clone, Copy, Debug, PartialEq, Eq)] +pub enum QuantifierInference { + QuantInference, +} + #[allow(missing_docs)] #[derive(Clone, Copy, Debug, PartialEq, Eq)] pub enum BooleanEquivalence { @@ -156,25 +192,6 @@ pub enum BiconditionalEquivalence { KnightsAndKnaves, } -#[allow(missing_docs)] -#[derive(Clone, Copy, Debug, PartialEq, Eq)] -pub enum RedundantPrepositionalInference { - ModusTollens, - HypotheticalSyllogism, - DisjunctiveSyllogism, - ExcludedMiddle, - ConstructiveDilemma, - HalfDeMorgan, - QuantifierInference, -} - -#[allow(missing_docs)] -#[derive(Clone, Copy, Debug, PartialEq, Eq)] -pub enum AutomationRelatedRules { - Resolution, - TruthFunctionalConsequence, -} - #[allow(missing_docs)] #[derive(Clone, Copy, Debug, PartialEq, Eq)] pub enum QuantifierEquivalence { @@ -187,6 +204,14 @@ pub enum QuantifierEquivalence { PrenexLaws, } +#[allow(missing_docs)] +#[derive(Clone, Copy, Debug, PartialEq, Eq)] +pub enum Special { + Reiteration, + Resolution, + TruthFunctionalConsequence, +} + #[allow(missing_docs)] #[derive(Clone, Copy, Debug, PartialEq, Eq)] pub enum Induction { @@ -211,7 +236,7 @@ pub struct EmptyRule; #[derive(Clone, Copy, Debug, PartialEq, Eq)] pub struct SharedChecks(T); -pub type Rule = SharedChecks; +pub type Rule = SharedChecks; /// Conveniences for constructing rules of the appropriate type, primarily for testing. /// The non-standard naming conventions here are because a module is being used to pretend to be an enum. @@ -259,7 +284,6 @@ pub mod RuleM { // If the parens are omitted, $value:tt only captures SharedChecks, without the (...) // I haven't yet found a way to use macro_rules! to convert between expr and pat. declare_rules! { - [Reit, "REITERATION", (SharedChecks(Inl(PrepositionalInference::Reit)))], [AndIntro, "CONJUNCTION", (SharedChecks(Inl(PrepositionalInference::AndIntro)))], [AndElim, "SIMPLIFICATION", (SharedChecks(Inl(PrepositionalInference::AndElim)))], [OrIntro, "ADDITION", (SharedChecks(Inl(PrepositionalInference::OrIntro)))], @@ -280,65 +304,79 @@ pub mod RuleM { [ExistsIntro, "EXISTENTIAL_GENERALIZATION", (SharedChecks(Inr(Inl(PredicateInference::ExistsIntro))))], [ExistsElim, "EXISTENTIAL_INSTANTIATION", (SharedChecks(Inr(Inl(PredicateInference::ExistsElim))))], - [Association, "ASSOCIATION", (SharedChecks(Inr(Inr(Inl(BooleanEquivalence::Association)))))], - [Commutation, "COMMUTATION", (SharedChecks(Inr(Inr(Inl(BooleanEquivalence::Commutation)))))], - [Idempotence, "IDEMPOTENCE", (SharedChecks(Inr(Inr(Inl(BooleanEquivalence::Idempotence)))))], - [DeMorgan, "DE_MORGAN", (SharedChecks(Inr(Inr(Inl(BooleanEquivalence::DeMorgan)))))], - [Distribution, "DISTRIBUTION", (SharedChecks(Inr(Inr(Inl(BooleanEquivalence::Distribution)))))], - [DoubleNegation, "DOUBLENEGATION_EQUIV", (SharedChecks(Inr(Inr(Inl(BooleanEquivalence::DoubleNegation)))))], - [Complement, "COMPLEMENT", (SharedChecks(Inr(Inr(Inl(BooleanEquivalence::Complement)))))], - [Identity, "IDENTITY", (SharedChecks(Inr(Inr(Inl(BooleanEquivalence::Identity)))))], - [Annihilation, "ANNIHILATION", (SharedChecks(Inr(Inr(Inl(BooleanEquivalence::Annihilation)))))], - [Inverse, "INVERSE", (SharedChecks(Inr(Inr(Inl(BooleanEquivalence::Inverse)))))], - [Absorption, "ABSORPTION", (SharedChecks(Inr(Inr(Inl(BooleanEquivalence::Absorption)))))], - [Reduction, "REDUCTION", (SharedChecks(Inr(Inr(Inl(BooleanEquivalence::Reduction)))))], - [Adjacency, "ADJACENCY", (SharedChecks(Inr(Inr(Inl(BooleanEquivalence::Adjacency)))))], - - [Implication, "IMPLICATION", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalEquivalence::Implication))))))], - [Contraposition, "CONTRAPOSITION", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalEquivalence::Contraposition))))))], - [Exportation, "Exportation", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalEquivalence::Exportation))))))], - [ConditionalDistribution, "CONDITIONAL_DISTRIBUTION", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalEquivalence::ConditionalDistribution))))))], - [ConditionalAbsorption, "CONDITIONAL_ABSORPTION", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalEquivalence::ConditionalAbsorption))))))], - [ConditionalReduction, "CONDITIONAL_REDUCTION", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalEquivalence::ConditionalReduction))))))], - [ConditionalIdempotence, "CONDITIONAL_IDEMPOTENCE", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalEquivalence::ConditionalIdempotence))))))], - [ConditionalComplement, "CONDITIONAL_COMPLEMENT", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalEquivalence::ConditionalComplement))))))], - [ConditionalIdentity, "CONDITIONAL_IDENTITY", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalEquivalence::ConditionalIdentity))))))], - [ConditionalAnnihilation, "CONDITIONAL_ANNIHILATION", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalEquivalence::ConditionalAnnihilation))))))], - - [BiEquivalence, "BICONDITIONAL_EQUIVALENCE", (SharedChecks(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiEquivalence)))))))], - [BiconditionalContraposition, "BICONDITIONAL_CONTRAPOSITION", (SharedChecks(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiconditionalContraposition)))))))], - [BiconditionalCommutation, "BICONDITIONAL_COMMUTATION", (SharedChecks(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiconditionalCommutation)))))))], - [BiconditionalAssociation, "BICONDITIONAL_ASSOCIATION", (SharedChecks(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiconditionalAssociation)))))))], - [BiconditionalReduction, "BICONDITIONAL_REDUCTION", (SharedChecks(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiconditionalReduction)))))))], - [BiconditionalComplement, "BICONDITIONAL_COMPLEMENT", (SharedChecks(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiconditionalComplement)))))))], - [BiconditionalIdentity, "BICONDITIONAL_IDENTITY", (SharedChecks(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiconditionalIdentity)))))))], - [BiconditionalNegation, "BICONDITIONAL_NEGATION", (SharedChecks(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiconditionalNegation)))))))], - [BiconditionalSubstitution, "BICONDITIONAL_SUBSTITUTION", (SharedChecks(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiconditionalSubstitution)))))))], - [KnightsAndKnaves, "KNIGHTS_AND_KNAVES", (SharedChecks(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::KnightsAndKnaves)))))))], - - [ModusTollens, "MODUS_TOLLENS", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inl(RedundantPrepositionalInference::ModusTollens))))))))], - [HypotheticalSyllogism, "HYPOTHETICAL_SYLLOGISM", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inl(RedundantPrepositionalInference::HypotheticalSyllogism))))))))], - [DisjunctiveSyllogism, "DISJUNCTIVE_SYLLOGISM", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inl(RedundantPrepositionalInference::DisjunctiveSyllogism))))))))], - [ExcludedMiddle, "EXCLUDED_MIDDLE", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inl(RedundantPrepositionalInference::ExcludedMiddle))))))))], - [ConstructiveDilemma, "CONSTRUCTIVE_DILEMMA", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inl(RedundantPrepositionalInference::ConstructiveDilemma))))))))], - [HalfDeMorgan, "HALF_DE_MORGAN", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inl(RedundantPrepositionalInference::HalfDeMorgan))))))))], - [QuantifierInference, "QUANTIFIER_INFERENCE", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inl(RedundantPrepositionalInference::QuantifierInference))))))))], - - [Resolution, "RESOLUTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inl(AutomationRelatedRules::Resolution)))))))))], - [TruthFunctionalConsequence, "TRUTHFUNCTIONAL_CONSEQUENCE", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inl(AutomationRelatedRules::TruthFunctionalConsequence)))))))))], - - [QuantifierNegation, "QUANTIFIER_NEGATION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierEquivalence::QuantifierNegation))))))))))], - [NullQuantification, "NULL_QUANTIFICATION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierEquivalence::NullQuantification))))))))))], - [ReplacingBoundVars, "REPLACING_BOUND_VARS", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierEquivalence::ReplacingBoundVars))))))))))], - [SwappingQuantifiers, "SWAPPING_QUANTIFIERS", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierEquivalence::SwappingQuantifiers))))))))))], - [AristoteleanSquare, "ARISTOTELEAN_SQUARE", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierEquivalence::AristoteleanSquare))))))))))], - [QuantifierDistribution, "QUANTIFIER_DISTRIBUTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierEquivalence::QuantifierDistribution))))))))))], - [PrenexLaws, "PRENEX_LAWS", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierEquivalence::PrenexLaws))))))))))], - - [WeakInduction, "WEAK_INDUCTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(Induction::Weak)))))))))))], - [StrongInduction, "STRONG_INDUCTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(Induction::Strong)))))))))))], - - [EmptyRule, "EMPTY_RULE", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(super::EmptyRule))))))))))))] + [DisjunctiveSyllogism, "DISJUNCTIVE_SYLLOGISM", (SharedChecks(Inr(Inr(Inl(BooleanInference::DisjunctiveSyllogism)))))], + [Exclusion, "EXCLUSION", (SharedChecks(Inr(Inr(Inl(BooleanInference::Exclusion)))))], + [ExcludedMiddle, "EXCLUDED_MIDDLE", (SharedChecks(Inr(Inr(Inl(BooleanInference::ExcludedMiddle)))))], + [HalfDeMorgan, "HALF_DE_MORGAN", (SharedChecks(Inr(Inr(Inl(BooleanInference::HalfDeMorgan)))))], + + [ModusTollens, "MODUS_TOLLENS", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalInference::ModusTollens))))))], + [HypotheticalSyllogism, "HYPOTHETICAL_SYLLOGISM", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalInference::HypotheticalSyllogism))))))], + [ConstructiveDilemma, "CONSTRUCTIVE_DILEMMA", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalInference::ConstructiveDilemma))))))], + [DestructiveDilemma, "DESTRUCTIVE_DILEMMA", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalInference::DestructiveDilemma))))))], + [StrengthenAntecedent, "STRENGTHEN_ANTECEDENT", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalInference::StrengthenAntecedent))))))], + [WeakenConsequent, "WEAKEN_CONSEQUENT", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalInference::WeakenConsequent))))))], + [ConIntroNegation, "CON_INTRO_NEGATION", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalInference::ConIntroNegation))))))], + [ConElimNegation, "CON_ELIM_NEGATION", (SharedChecks(Inr(Inr(Inr(Inl(ConditionalInference::ConElimNegation))))))], + + [BiconIntro, "BICON_INTRO", (SharedChecks(Inr(Inr(Inr(Inr(Inl(BiconditionalInference::BiconIntro)))))))], + [BiconIntroNegation, "BICON_INTRO_NEGATION", (SharedChecks(Inr(Inr(Inr(Inr(Inl(BiconditionalInference::BiconIntroNegation)))))))], + [BiconElim, "BICON_ELIM", (SharedChecks(Inr(Inr(Inr(Inr(Inl(BiconditionalInference::BiconElim)))))))], + [BiconElimNegation, "BICON_ELIM_NEGATION", (SharedChecks(Inr(Inr(Inr(Inr(Inl(BiconditionalInference::BiconElimNegation)))))))], + + [QuantifierInference, "QUANTIFIER_INFERENCE", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierInference::QuantInference))))))))], + + [Association, "ASSOCIATION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BooleanEquivalence::Association)))))))))], + [Commutation, "COMMUTATION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BooleanEquivalence::Commutation)))))))))], + [Idempotence, "IDEMPOTENCE", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BooleanEquivalence::Idempotence)))))))))], + [DeMorgan, "DE_MORGAN", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BooleanEquivalence::DeMorgan)))))))))], + [Distribution, "DISTRIBUTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BooleanEquivalence::Distribution)))))))))], + [DoubleNegation, "DOUBLENEGATION_EQUIV", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BooleanEquivalence::DoubleNegation)))))))))], + [Complement, "COMPLEMENT", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BooleanEquivalence::Complement)))))))))], + [Identity, "IDENTITY", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BooleanEquivalence::Identity)))))))))], + [Annihilation, "ANNIHILATION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BooleanEquivalence::Annihilation)))))))))], + [Inverse, "INVERSE", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BooleanEquivalence::Inverse)))))))))], + [Absorption, "ABSORPTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BooleanEquivalence::Absorption)))))))))], + [Reduction, "REDUCTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BooleanEquivalence::Reduction)))))))))], + [Adjacency, "ADJACENCY", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BooleanEquivalence::Adjacency)))))))))], + + [Implication, "IMPLICATION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(ConditionalEquivalence::Implication))))))))))], + [Contraposition, "CONTRAPOSITION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(ConditionalEquivalence::Contraposition))))))))))], + [Exportation, "Exportation", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(ConditionalEquivalence::Exportation))))))))))], + [ConditionalDistribution, "CONDITIONAL_DISTRIBUTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(ConditionalEquivalence::ConditionalDistribution))))))))))], + [ConditionalAbsorption, "CONDITIONAL_ABSORPTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(ConditionalEquivalence::ConditionalAbsorption))))))))))], + [ConditionalReduction, "CONDITIONAL_REDUCTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(ConditionalEquivalence::ConditionalReduction))))))))))], + [ConditionalIdempotence, "CONDITIONAL_IDEMPOTENCE", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(ConditionalEquivalence::ConditionalIdempotence))))))))))], + [ConditionalComplement, "CONDITIONAL_COMPLEMENT", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(ConditionalEquivalence::ConditionalComplement))))))))))], + [ConditionalIdentity, "CONDITIONAL_IDENTITY", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(ConditionalEquivalence::ConditionalIdentity))))))))))], + [ConditionalAnnihilation, "CONDITIONAL_ANNIHILATION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(ConditionalEquivalence::ConditionalAnnihilation))))))))))], + + [BiEquivalence, "BICONDITIONAL_EQUIVALENCE", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiEquivalence)))))))))))], + [BiconditionalContraposition, "BICONDITIONAL_CONTRAPOSITION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiconditionalContraposition)))))))))))], + [BiconditionalCommutation, "BICONDITIONAL_COMMUTATION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiconditionalCommutation)))))))))))], + [BiconditionalAssociation, "BICONDITIONAL_ASSOCIATION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiconditionalAssociation)))))))))))], + [BiconditionalReduction, "BICONDITIONAL_REDUCTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiconditionalReduction)))))))))))], + [BiconditionalComplement, "BICONDITIONAL_COMPLEMENT", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiconditionalComplement)))))))))))], + [BiconditionalIdentity, "BICONDITIONAL_IDENTITY", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiconditionalIdentity)))))))))))], + [BiconditionalNegation, "BICONDITIONAL_NEGATION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiconditionalNegation)))))))))))], + [BiconditionalSubstitution, "BICONDITIONAL_SUBSTITUTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::BiconditionalSubstitution)))))))))))], + [KnightsAndKnaves, "KNIGHTS_AND_KNAVES", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BiconditionalEquivalence::KnightsAndKnaves)))))))))))], + + [QuantifierNegation, "QUANTIFIER_NEGATION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierEquivalence::QuantifierNegation))))))))))))], + [NullQuantification, "NULL_QUANTIFICATION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierEquivalence::NullQuantification))))))))))))], + [ReplacingBoundVars, "REPLACING_BOUND_VARS", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierEquivalence::ReplacingBoundVars))))))))))))], + [SwappingQuantifiers, "SWAPPING_QUANTIFIERS", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierEquivalence::SwappingQuantifiers))))))))))))], + [AristoteleanSquare, "ARISTOTELEAN_SQUARE", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierEquivalence::AristoteleanSquare))))))))))))], + [QuantifierDistribution, "QUANTIFIER_DISTRIBUTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierEquivalence::QuantifierDistribution))))))))))))], + [PrenexLaws, "PRENEX_LAWS", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierEquivalence::PrenexLaws))))))))))))], + + [Reiteration, "REITERATION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(Special::Reiteration)))))))))))))], + [Resolution, "RESOLUTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(Special::Resolution)))))))))))))], + [TruthFunctionalConsequence, "TRUTHFUNCTIONAL_CONSEQUENCE", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(Special::TruthFunctionalConsequence)))))))))))))], + + [WeakInduction, "WEAK_INDUCTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(Induction::Weak))))))))))))))], + [StrongInduction, "STRONG_INDUCTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(Induction::Strong))))))))))))))], + + [EmptyRule, "EMPTY_RULE", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(super::EmptyRule)))))))))))))))] } } @@ -348,8 +386,14 @@ pub mod RuleM { pub enum RuleClassification { Introduction, Elimination, - #[strum(to_string = "Misc. Inference")] - MiscInference, + #[strum(to_string = "Boolean Inference")] + BooleanInference, + #[strum(to_string = "Conditional Inference")] + ConditionalInference, + #[strum(to_string = "Biconditional Inference")] + BiconditionalInference, + #[strum(to_string = "Quantifier Inference")] + QuantifierInference, #[strum(to_string = "Boolean Equivalence")] BooleanEquivalence, #[strum(to_string = "Conditional Equivalence")] @@ -358,6 +402,8 @@ pub enum RuleClassification { BiconditionalEquivalence, #[strum(to_string = "Quantifier Equivalence")] QuantifierEquivalence, + Special, + Induction, } impl RuleClassification { @@ -481,7 +527,6 @@ impl RuleT for PrepositionalInference { fn get_name(&self) -> String { use PrepositionalInference::*; match self { - Reit => "Reiteration", AndIntro => "∧ Introduction", AndElim => "∧ Elimination", OrIntro => "∨ Introduction", @@ -504,9 +549,6 @@ impl RuleT for PrepositionalInference { use RuleClassification::*; let mut ret = HashSet::new(); match self { - Reit => { - ret.insert(MiscInference); - } AndIntro | OrIntro | ImpIntro | NotIntro | ContradictionIntro | BiconditionalIntro | EquivalenceIntro => { ret.insert(Introduction); } @@ -519,7 +561,7 @@ impl RuleT for PrepositionalInference { fn num_deps(&self) -> Option { use PrepositionalInference::*; match self { - Reit | AndElim | OrIntro | OrElim | NotElim | ContradictionElim => Some(1), + AndElim | OrIntro | OrElim | NotElim | ContradictionElim => Some(1), ContradictionIntro | ImpElim | BiconditionalElim | EquivalenceElim => Some(2), NotIntro | ImpIntro => Some(0), AndIntro | BiconditionalIntro | EquivalenceIntro => None, // AndIntro can have arbitrarily many conjuncts in one application @@ -529,7 +571,7 @@ impl RuleT for PrepositionalInference { use PrepositionalInference::*; match self { NotIntro | ImpIntro => Some(1), - Reit | AndElim | OrIntro | NotElim | ContradictionElim | ContradictionIntro | ImpElim | AndIntro | BiconditionalElim | EquivalenceElim => Some(0), + AndElim | OrIntro | NotElim | ContradictionElim | ContradictionIntro | ImpElim | AndIntro | BiconditionalElim | EquivalenceElim => Some(0), OrElim | BiconditionalIntro | EquivalenceIntro => None, } } @@ -539,14 +581,6 @@ impl RuleT for PrepositionalInference { use PrepositionalInference::*; use ProofCheckError::*; match self { - Reit => { - let prem = p.lookup_expr_or_die(&deps[0])?; - if prem == conclusion { - Ok(()) - } else { - Err(DoesNotOccur(conclusion, prem)) - } - } AndIntro => { if deps.len() == 1 { let single_dep_expr = p.lookup_expr_or_die(&deps[0])?; @@ -570,7 +604,7 @@ impl RuleT for PrepositionalInference { } Ok(()) } else { - Err(ConclusionOfWrongForm(Expr::assocplaceholder(Op::And))) + Err(ConclusionOfWrongForm(Expr::assoc_place_holder(Op::And))) } } AndElim => { @@ -601,7 +635,7 @@ impl RuleT for PrepositionalInference { } } } else { - Err(DepDoesNotExist(Expr::assocplaceholder(Op::And), true)) + Err(DepDoesNotExist(Expr::assoc_place_holder(Op::And), true)) } } OrIntro => { @@ -618,7 +652,7 @@ impl RuleT for PrepositionalInference { } Ok(()) } else { - Err(ConclusionOfWrongForm(Expr::assocplaceholder(Op::Or))) + Err(ConclusionOfWrongForm(Expr::assoc_place_holder(Op::Or))) } } OrElim => { @@ -641,7 +675,7 @@ impl RuleT for PrepositionalInference { } Ok(()) } else { - Err(DepDoesNotExist(Expr::assocplaceholder(Op::Or), true)) + Err(DepDoesNotExist(Expr::assoc_place_holder(Op::Or), true)) } } ImpIntro => { @@ -771,7 +805,7 @@ impl RuleT for PrepositionalInference { AnyOrderResult::WrongOrder } }, - || DepDoesNotExist(Expr::assocplaceholder(Op::Bicon), true), + || DepDoesNotExist(Expr::assoc_place_holder(Op::Bicon), true), ) } EquivalenceIntro | BiconditionalIntro => { @@ -808,7 +842,7 @@ impl RuleT for PrepositionalInference { slab.entry(*right.clone()).or_insert_with(|| next()); g.add_edge(slab[left], slab[right], ()); } - _ => return Err(OneOf(btreeset![DepOfWrongForm(prem.clone(), Expr::assocplaceholder(oper)), DepOfWrongForm(prem.clone(), Expr::impl_place_holder()),])), + _ => return Err(OneOf(btreeset![DepOfWrongForm(prem.clone(), Expr::assoc_place_holder(oper)), DepOfWrongForm(prem.clone(), Expr::impl_place_holder()),])), } } for sproof in sproofs.iter() { @@ -847,7 +881,7 @@ impl RuleT for PrepositionalInference { } } } - Err(ConclusionOfWrongForm(Expr::assocplaceholder(oper))) + Err(ConclusionOfWrongForm(Expr::assoc_place_holder(oper))) } EquivalenceElim => { let prem1 = p.lookup_expr_or_die(&deps[0])?; @@ -869,7 +903,7 @@ impl RuleT for PrepositionalInference { AnyOrderResult::WrongOrder } }, - || DepDoesNotExist(Expr::assocplaceholder(Op::Equiv), true), + || DepDoesNotExist(Expr::assoc_place_holder(Op::Equiv), true), ) } } @@ -968,7 +1002,7 @@ impl RuleT for PredicateInference { } Err(Other(format!("Couldn't find a subproof line that unifies with the conclusion ({conclusion})."))) } else { - Err(ConclusionOfWrongForm(Expr::quant_placeholder(QuantKind::Forall))) + Err(ConclusionOfWrongForm(Expr::quant_place_holder(QuantKind::Forall))) } } ForallElim => { @@ -977,7 +1011,7 @@ impl RuleT for PredicateInference { unifies_wrt_var::

(body, &conclusion, name)?; Ok(()) } else { - Err(DepOfWrongForm(prem, Expr::quant_placeholder(QuantKind::Forall))) + Err(DepOfWrongForm(prem, Expr::quant_place_holder(QuantKind::Forall))) } } ExistsIntro => { @@ -986,7 +1020,7 @@ impl RuleT for PredicateInference { unifies_wrt_var::

(body, &prem, name)?; Ok(()) } else { - Err(ConclusionOfWrongForm(Expr::quant_placeholder(QuantKind::Exists))) + Err(ConclusionOfWrongForm(Expr::quant_place_holder(QuantKind::Exists))) } } ExistsElim => { @@ -1019,7 +1053,7 @@ impl RuleT for PredicateInference { return Err(Other(format!("Premise {subprem} doesn't unify with the body of dependency {prem}"))); } } else { - return Err(DepOfWrongForm(prem, Expr::quant_placeholder(QuantKind::Exists))); + return Err(DepOfWrongForm(prem, Expr::quant_place_holder(QuantKind::Exists))); } }; for (r, expr) in sproof.exprs().into_iter().map(|r| sproof.lookup_expr_or_die(&r).map(|e| (r, e))).collect::, _>>()? { @@ -1040,153 +1074,775 @@ impl RuleT for PredicateInference { } } -fn check_by_normalize_first_expr(p: &P, deps: Vec>, conclusion: Expr, commutative: bool, normalize_fn: F, restriction: &str) -> Result<(), ProofCheckError, P::SubproofReference>> -where - F: Fn(Expr) -> Expr, -{ - let mut premise = p.lookup_expr_or_die(&deps[0])?; - let mut conclusion_mut = conclusion; - if commutative { - premise = premise.sort_commutative_ops(restriction); - conclusion_mut = conclusion_mut.sort_commutative_ops(restriction); +impl RuleT for BooleanInference { + fn get_name(&self) -> String { + use BooleanInference::*; + match self { + DisjunctiveSyllogism => "Disjunctive Syllogism", + Exclusion => "Exclusion", + ExcludedMiddle => "Excluded Middle", + HalfDeMorgan => "Half DeMorgan", + } + .into() } - let mut p = normalize_fn(premise.clone()); - let mut q = normalize_fn(conclusion_mut); - if commutative { - p = p.sort_commutative_ops(restriction); - q = q.sort_commutative_ops(restriction); + fn get_classifications(&self) -> HashSet { + [RuleClassification::BooleanInference].iter().cloned().collect() } - if p == q { - Ok(()) - } else { - Err(ProofCheckError::Other(format!("{p} and {q} are not equal. {:?}", premise))) + fn num_deps(&self) -> Option { + use BooleanInference::*; + match self { + DisjunctiveSyllogism | Exclusion => Some(2), + ExcludedMiddle => Some(0), + HalfDeMorgan => Some(1), + } } -} - -fn check_by_normalize_first_expr_one_way(p: &P, deps: Vec>, conclusion: Expr, normalize_fn: F) -> Result<(), ProofCheckError, P::SubproofReference>> -where - F: Fn(Expr) -> Expr, -{ - let premise = p.lookup_expr_or_die(&deps[0])?; - let p = normalize_fn(premise.clone()); - if p == conclusion.clone() { - Ok(()) - } else { - Err(ProofCheckError::Other(format!("{p} and {conclusion} are not equal. {:?}", premise))) + fn num_subdeps(&self) -> Option { + Some(0) } -} + fn check(self, proof: &P, conclusion: Expr, deps: Vec>, sdeps: Vec) -> Result<(), ProofCheckError, P::SubproofReference>> { + use ProofCheckError::*; + use BooleanInference::*; -fn check_by_normalize_multiple_possibilities(p: &P, deps: Vec>, conclusion: Expr, normalize_fn: F) -> Result<(), ProofCheckError, P::SubproofReference>> -where - F: Fn(Expr) -> Vec, -{ - let premise = p.lookup_expr_or_die(&deps[0])?; + assert!(sdeps.is_empty()); + match self { + DisjunctiveSyllogism => { + let dep_0 = proof.lookup_expr_or_die(&deps[0])?; + let dep_1 = proof.lookup_expr_or_die(&deps[1])?; - // Generate all possible transformed premises and conclusions - let premise_possibilities = normalize_fn(premise); - let conclusion_possibilities = normalize_fn(conclusion); + let is_disjunctive_case = |disj, negation, conclusion| { + if let Expr::Assoc { op: Op::Or, exprs } = disj { + if exprs.len() == 2 { + let (p, q) = (&exprs[0], &exprs[1]); - // Check if any conclusion possibility matches a premise possibility - for premise_expr in premise_possibilities.iter() { - for conclusion_expr in conclusion_possibilities.iter() { - if premise_expr == conclusion_expr { - return Ok(()); // If a match is found, return success + match (p, q, negation, conclusion) { + // Case 1: P | Q, ~P concludes Q + (p_expr, q_expr, Expr::Not { operand }, conclusion) if p_expr == &*operand && q_expr == conclusion => true, + // Case 2: P | Q, ~Q concludes P + (p_expr, q_expr, Expr::Not { operand }, conclusion) if q_expr == &*operand && p_expr == conclusion => true, + // Case 3: ~P | Q, P concludes Q + (Expr::Not { operand }, q_expr, p_expr, conclusion) if **operand == p_expr && q_expr == conclusion => true, + // Case 4: P | ~Q, Q concludes P + (p_expr, Expr::Not { operand }, q_expr, conclusion) if **operand == q_expr && p_expr == conclusion => true, + _ => false, + } + } else { + false + } + } else { + false + } + }; + + // Check if dep_0 or dep_1 is the disjunction, and apply the disjunctive syllogism rule + if is_disjunctive_case(dep_0.clone(), dep_1.clone(), &conclusion) || is_disjunctive_case(dep_1, dep_0, &conclusion) { + Ok(()) + } else { + Err(ProofCheckError::Other("Conclusion does not logically follow from premises".to_string())) + } } - } - } + Exclusion => { + let dep_0 = proof.lookup_expr_or_die(&deps[0])?; + let dep_1 = proof.lookup_expr_or_die(&deps[1])?; - Err(ProofCheckError::Other("None of the possible normalized premises match the conclusion.".to_string())) -} + let is_exclusion_case = |neg_conj, premise, conclusion| { + if let Expr::Not { operand } = neg_conj { + if let Expr::Assoc { op: Op::And, exprs } = operand.as_ref() { + if exprs.len() == 2 { + let (p, q) = (&exprs[0], &exprs[1]); + + match (p, q, premise, conclusion) { + // Case 1: !(P & Q), P concludes ~Q + (p_expr, q_expr, premise_expr, Expr::Not { operand: concl_q }) if *p_expr == premise_expr && q_expr == &*concl_q => true, + // Case 2: !(P & Q), Q concludes ~P + (p_expr, q_expr, premise_expr, Expr::Not { operand: concl_p }) if *q_expr == premise_expr && p_expr == &*concl_p => true, + // Case 3: !(P & ~Q), P concludes Q + (p_expr, Expr::Not { operand: q_expr }, premise_expr, conclusion_expr) if *p_expr == premise_expr && **q_expr == conclusion_expr => true, + // Case 4: !(!P & Q), Q concludes P + (Expr::Not { operand: p_expr }, q_expr, premise_expr, conclusion_expr) if *q_expr == premise_expr && **p_expr == conclusion_expr => true, + _ => false, + } + } else { + false + } + } else { + false + } + } else { + false + } + }; -fn check_by_rewrite_rule_confl(p: &P, deps: Vec>, conclusion: Expr, commutative: bool, rule: &RewriteRule, restriction: &str) -> Result<(), ProofCheckError, P::SubproofReference>> { - check_by_normalize_first_expr(p, deps, conclusion, commutative, |e| rule.reduce(e), restriction) -} + if is_exclusion_case(dep_0.clone(), dep_1.clone(), conclusion.clone()) || is_exclusion_case(dep_1, dep_0, conclusion) { + Ok(()) + } else { + Err(ProofCheckError::Other("Conclusion does not logically follow from premises".to_string())) + } + } + ExcludedMiddle => { + // A | ~A + let wrong_form_err = ConclusionOfWrongForm(Expr::var("_") | !Expr::var("_")); + let operands = match conclusion { + Expr::Assoc { op: Op::Or, exprs } => exprs, + _ => return Err(wrong_form_err), + }; -// fn check_by_rewrite_rule_non_confl(p: &P, deps: Vec>, conclusion: Expr, commutative: bool, rule: &RewriteRule, restriction: &str) -> Result<(), ProofCheckError, P::SubproofReference>> { -// let premise = p.lookup_expr_or_die(&deps[0])?; -// let premise_set = rule.reduce_set(premise.clone()); -// let conclusion_set = rule.reduce_set(conclusion.clone()); -// let (premise_set, conclusion_set) = if commutative { -// let sort_ops = |set: HashSet| set.into_iter().map(|expr| expr.sort_commutative_ops(restriction)).collect(); -// (sort_ops(premise_set), sort_ops(conclusion_set)) -// } else { -// (premise_set, conclusion_set) -// }; -// // The premise and conclusion are equal if the set intersection is nonempty -// let is_eq = premise_set.intersection(&conclusion_set).next().is_some(); -// if is_eq { -// Ok(()) -// } else { -// Err(ProofCheckError::Other(format!("{premise} and {conclusion} are not equal."))) -// } -// } + let (a, not_a) = match operands.as_slice() { + [a, not_a] => (a, not_a), + _ => return Err(wrong_form_err), + }; -impl RuleT for BooleanEquivalence { + let not_a_0 = not_a.clone(); + let not_a_1 = !(a.clone()); + + if not_a_0 == not_a_1 { + Ok(()) + } else { + Err(DoesNotOccur(not_a_0, not_a_1)) + } + } + HalfDeMorgan => check_by_normalize_multiple_possibilities(proof, deps, conclusion, |e| e.normalize_halfdemorgans()), + } + } +} + +impl RuleT for ConditionalInference { fn get_name(&self) -> String { - use BooleanEquivalence::*; + use ConditionalInference::*; match self { - DeMorgan => "DeMorgan", - Association => "Association", - Commutation => "Commutation", - Idempotence => "Idempotence", - Distribution => "Distribution", - DoubleNegation => "Double Negation", - Complement => "Complement", - Identity => "Identity", - Annihilation => "Annihilation", - Inverse => "Inverse", - Absorption => "Absorption", - Reduction => "Reduction", - Adjacency => "Adjacency", + ModusTollens => "Modus Tollens", + HypotheticalSyllogism => "Hypothetical Syllogism", + ConstructiveDilemma => "Constructive Dilemma", + DestructiveDilemma => "Destructive Dilemma", + StrengthenAntecedent => "Strengthening the Antecedent", + WeakenConsequent => "Weakening the Consequent", + ConIntroNegation => "Conditional Introduction Negation", + ConElimNegation => "Conditional Elimination Negation" } .into() } fn get_classifications(&self) -> HashSet { - [RuleClassification::BooleanEquivalence].iter().cloned().collect() + [RuleClassification::ConditionalInference].iter().cloned().collect() } fn num_deps(&self) -> Option { - Some(1) - } // all equivalence rules rewrite a single statement - fn num_subdeps(&self) -> Option { - Some(0) - } - fn check(self, p: &P, conclusion: Expr, deps: Vec>, _sdeps: Vec) -> Result<(), ProofCheckError, P::SubproofReference>> { - use BooleanEquivalence::*; + use ConditionalInference::*; match self { - DeMorgan => check_by_normalize_first_expr(p, deps, conclusion, false, |e| e.normalize_demorgans(), "none"), - Association => check_by_normalize_first_expr(p, deps, conclusion, false, |e| e.combine_associative_ops("bool"), "bool"), - Commutation => check_by_normalize_first_expr(p, deps, conclusion, false, |e| e.sort_commutative_ops("bool"), "bool"), - Idempotence => check_by_normalize_first_expr(p, deps, conclusion, true, |e| e.normalize_idempotence(), "none"), - DoubleNegation => check_by_rewrite_rule_confl(p, deps, conclusion, false, &equivs::DOUBLE_NEGATION, "none"), - // Distribution and Reduction have outputs containing binops that need commutative sorting - // because we can't expect people to know the specific order of outputs that our definition - // of the rules uses - Distribution => check_by_rewrite_rule_confl(p, deps, conclusion, true, &equivs::DISTRIBUTION, "none"), - Complement => check_by_normalize_first_expr(p, deps, conclusion, true, |e| e.normalize_complement(), "none"), - Identity => check_by_rewrite_rule_confl(p, deps, conclusion, false, &equivs::IDENTITY, "none"), - Annihilation => check_by_rewrite_rule_confl(p, deps, conclusion, false, &equivs::ANNIHILATION, "none"), - Inverse => check_by_rewrite_rule_confl(p, deps, conclusion, false, &equivs::INVERSE, "none"), - Absorption => check_by_normalize_first_expr(p, deps, conclusion, true, |e| e.normalize_absorption(), "none"), - Reduction => check_by_normalize_first_expr(p, deps, conclusion, true, |e| e.normalize_reduction(), "none"), - Adjacency => check_by_normalize_first_expr(p, deps, conclusion, true, |e| e.normalize_adjacency(), "none"), + ModusTollens | HypotheticalSyllogism => Some(2), + ConstructiveDilemma | DestructiveDilemma => Some(3), + StrengthenAntecedent | WeakenConsequent | ConIntroNegation | ConElimNegation => Some(1), } } -} + fn num_subdeps(&self) -> Option { + Some(0) + } + fn check(self, proof: &P, conclusion: Expr, deps: Vec>, sdeps: Vec) -> Result<(), ProofCheckError, P::SubproofReference>> { + use ProofCheckError::*; + use ConditionalInference::*; -impl RuleT for ConditionalEquivalence { - fn get_name(&self) -> String { - use ConditionalEquivalence::*; + assert!(sdeps.is_empty()); match self { - Implication => "Implication", - Contraposition => "Contraposition", - Exportation => "Exportation", - ConditionalDistribution => "Conditional Distribution", - ConditionalAbsorption => "Conditional Absorption", - ConditionalReduction => "Conditional Reduction", - ConditionalIdempotence => "Conditional Idempotence", - ConditionalComplement => "Conditional Complement", - ConditionalIdentity => "Conditional Identity", - ConditionalAnnihilation => "Conditional Annihilation", + ModusTollens => { + let dep_0 = proof.lookup_expr_or_die(&deps[0])?; + let dep_1 = proof.lookup_expr_or_die(&deps[1])?; + + let is_modus_tollens_case = |implication, negation, conclusion| { + if let Expr::Impl { left, right } = implication { + match (left.as_ref(), right.as_ref(), negation, conclusion) { + // Case 1: P -> Q, ~Q concludes ~P + (p, q, Expr::Not { operand }, Expr::Not { operand: concl_p }) if q == &*operand && p == &*concl_p => true, + // Case 2: P -> ~Q, Q concludes ~P + (p, Expr::Not { operand: q }, neg_q, Expr::Not { operand: concl_p }) if **q == neg_q && p == &*concl_p => true, + // Case 3: ~P -> Q, ~Q concludes P + (Expr::Not { operand: p }, q, Expr::Not { operand: neg_q }, concl_p) if *q == *neg_q && **p == concl_p => true, + // Case 4: ~P -> ~Q, Q concludes P + (Expr::Not { operand: p }, Expr::Not { operand: q }, neg_q, concl_p) if **q == neg_q && **p == concl_p => true, + _ => false, + } + } else { + false + } + }; + + // Check if dep_0 or dep_1 is the implication, and apply the Modus Tollens rule + if is_modus_tollens_case(dep_0.clone(), dep_1.clone(), conclusion.clone()) || is_modus_tollens_case(dep_1, dep_0, conclusion) { + Ok(()) + } else { + Err(ProofCheckError::Other("Conclusion does not logically follow from premises".to_string())) + } + } + HypotheticalSyllogism => { + // P -> Q, Q -> R + // -------------- + // P -> R + let dep_0 = proof.lookup_expr_or_die(&deps[0])?; + let dep_1 = proof.lookup_expr_or_die(&deps[1])?; + either_order( + &dep_0, + &dep_1, + |dep_0, dep_1| { + if let (Expr::Impl { left: p_0, right: q_0 }, Expr::Impl { left: q_1, right: r_0 }, Expr::Impl { left: p_1, right: r_1 }) = (dep_0, dep_1, &conclusion) { + if p_0 != p_1 { + AnyOrderResult::Err(DoesNotOccur(*p_0.clone(), *p_1.clone())) + } else if q_0 != q_1 { + AnyOrderResult::Err(DoesNotOccur(*q_0.clone(), *q_1.clone())) + } else if r_0 != r_1 { + AnyOrderResult::Err(DoesNotOccur(*r_0.clone(), *r_1.clone())) + } else { + AnyOrderResult::Ok + } + } else { + AnyOrderResult::WrongOrder + } + }, + || DepDoesNotExist(Expr::impl_place_holder(), true), + ) + } + ConstructiveDilemma => { + // P -> Q, R -> S, P | R + // --------------------- + // Q | S + let deps = deps.into_iter().map(|dep| proof.lookup_expr_or_die(&dep)).collect::, _>>()?; + any_order( + &deps, + |deps| { + let (dep_0, dep_1, dep_2) = deps.iter().collect_tuple().unwrap(); + if let (Expr::Impl { left: p_0, right: q_0 }, Expr::Impl { left: r_0, right: s_0 }, Expr::Assoc { op: Op::Or, exprs: p_r }, Expr::Assoc { op: Op::Or, exprs: q_s }) = (dep_0, dep_1, dep_2, &conclusion) { + let p_0 = *p_0.clone(); + let q_0 = *q_0.clone(); + let r_0 = *r_0.clone(); + let s_0 = *s_0.clone(); + let dep_2 = (*dep_2).clone(); + let conclusion = conclusion.clone(); + + let (p_1, r_1) = match p_r.iter().collect_tuple() { + Some((p_1, r_1)) => (p_1, r_1), + None => return AnyOrderResult::Err(DoesNotOccur(p_0 | r_0, dep_2)), + }; + let (q_1, s_1) = match q_s.iter().collect_tuple() { + Some((q_1, s_1)) => (q_1, s_1), + None => return AnyOrderResult::Err(DoesNotOccur(q_0 | s_0, conclusion)), + }; + + let p_1 = p_1.clone(); + let q_1 = q_1.clone(); + let r_1 = r_1.clone(); + let s_1 = s_1.clone(); + + if p_0 != p_1 { + AnyOrderResult::Err(DoesNotOccur(p_0, p_1)) + } else if q_0 != q_1 { + AnyOrderResult::Err(DoesNotOccur(q_0, q_1)) + } else if r_0 != r_1 { + AnyOrderResult::Err(DoesNotOccur(r_0, r_1)) + } else if s_0 != s_1 { + AnyOrderResult::Err(DoesNotOccur(s_0, s_1)) + } else { + AnyOrderResult::Ok + } + } else { + AnyOrderResult::WrongOrder + } + }, + || OneOf(btreeset![DepDoesNotExist(Expr::impl_place_holder(), true), DepDoesNotExist(Expr::assoc_place_holder(Op::Or), true),]), + ) + } + DestructiveDilemma => { + // ~R | ~S, P -> R, Q -> S + // ----------------------- + // ~P | ~Q OR ~Q | ~P + let deps = deps.into_iter().map(|dep| proof.lookup_expr_or_die(&dep)).collect::, _>>()?; + any_order( + &deps, + |deps| { + let (dep_0, dep_1, dep_2) = deps.iter().collect_tuple().unwrap(); + if let (Expr::Assoc { op: Op::Or, exprs: neg_rs }, Expr::Impl { left: p_0, right: r_0 }, Expr::Impl { left: q_0, right: s_0 }, Expr::Assoc { op: Op::Or, exprs: neg_pq }) = (dep_0, dep_1, dep_2, &conclusion) { + let p_0 = *p_0.clone(); + let q_0 = *q_0.clone(); + let r_0 = *r_0.clone(); + let s_0 = *s_0.clone(); + let dep_0 = (*dep_0).clone(); + let conclusion = conclusion.clone(); + + let (neg_r, neg_s) = match neg_rs.iter().collect_tuple() { + Some((neg_r, neg_s)) => (neg_r, neg_s), + None => return AnyOrderResult::Err(DoesNotOccur(Expr::assoc_place_holder(Op::Or), dep_0)), + }; + + let neg_p_set = neg_pq.iter().collect::>(); + + let neg_r = neg_r.clone(); + let neg_s = neg_s.clone(); + + if let Expr::Not { operand: r_1 } = neg_r { + if r_0 != *r_1 { + return AnyOrderResult::Err(DoesNotOccur(r_0, *r_1)); + } + } else { + return AnyOrderResult::WrongOrder; + } + + if let Expr::Not { operand: s_1 } = neg_s { + if s_0 != *s_1 { + return AnyOrderResult::Err(DoesNotOccur(s_0, *s_1)); + } + } else { + return AnyOrderResult::WrongOrder; + } + + let expected_neg_p = Expr::Not { operand: Box::new(p_0.clone()) }; + let expected_neg_q = Expr::Not { operand: Box::new(q_0.clone()) }; + + if !neg_p_set.contains(&expected_neg_p) || !neg_p_set.contains(&expected_neg_q) { + return AnyOrderResult::Err(DoesNotOccur(Expr::assoc_place_holder(Op::Or), conclusion)); + } + + AnyOrderResult::Ok + } else { + AnyOrderResult::WrongOrder + } + }, + || OneOf(btreeset![DepDoesNotExist(Expr::assoc_place_holder(Op::Or), true), DepDoesNotExist(Expr::impl_place_holder(), true),]), + ) + } + StrengthenAntecedent => { + let dep_0 = proof.lookup_expr_or_die(&deps[0])?; + if let Expr::Impl { left, right } = dep_0.clone() { + // Case 1: Premise: P -> R, Conclusion: (P & Q) -> R or (Q & P) -> R + if let Expr::Impl { left: strengthened_left, right: strengthened_right } = conclusion.clone() { + if *right == *strengthened_right { + if let Expr::Assoc { op: Op::And, exprs } = strengthened_left.as_ref() { + if exprs.contains(&*left) { + return Ok(()); + } + } + } + } + + // Case 2: Premise: (P | Q) -> R, Conclusion: P -> R or Q -> R + if let Expr::Impl { left: conclusion_left, right: conclusion_right } = conclusion { + if *right == *conclusion_right { + if let Expr::Assoc { op: Op::Or, exprs } = left.as_ref() { + if exprs.contains(&*conclusion_left) { + return Ok(()); + } + } + } + } + } + + Err(ProofCheckError::Other("Conclusion does not follow from the Strengthening the Antecedent rule.".to_string())) + } + WeakenConsequent => { + let dep_0 = proof.lookup_expr_or_die(&deps[0])?; + if let Expr::Impl { left, right } = dep_0.clone() { + // Case 1 and 2: Premise: P -> (Q & R), Conclusion: P -> Q or P -> R + if let Expr::Impl { left: conclusion_left, right: conclusion_right } = conclusion.clone() { + if *left == *conclusion_left { + if let Expr::Assoc { op: Op::And, exprs } = right.as_ref() { + if exprs.contains(&*conclusion_right) { + return Ok(()); + } + } + } + } + + // Case 3 and 4: Premise: P -> Q, Conclusion: P -> (Q | R) or P -> (R | Q) + if let Expr::Impl { left: conclusion_left, right: conclusion_right } = conclusion { + if *left == *conclusion_left { + if let Expr::Assoc { op: Op::Or, exprs } = conclusion_right.as_ref() { + if exprs.contains(&*right) { + return Ok(()); + } + } + } + } + } + + Err(ProofCheckError::Other("Conclusion does not follow from the Weaken the Consequent rule.".to_string())) + } + ConIntroNegation => { + let premise = proof.lookup_expr_or_die(&deps[0])?; + + if let Expr::Impl { ref left, ref right } = conclusion { + // Case 1: Premise: ~P, Conclusion: P -> Q + if let Expr::Not { ref operand } = premise { + if **operand == **left && !matches!(**right, Expr::Not { .. }) { + return Ok(()); + } + } + + // Case 2: Premise: Q, Conclusion: P -> Q + if premise == **right && !matches!(**left, Expr::Not { .. }) { + return Ok(()); + } + } + + Err(ProofCheckError::Other( + "Conclusion does not follow from the Conditional Introduction Negation rule.".to_string(), + )) + } + + ConElimNegation => { + let premise = proof.lookup_expr_or_die(&deps[0])?; + + if let Expr::Not { ref operand } = premise { + if let Expr::Impl { ref left, ref right } = **operand { + // Case 1: Premise: ~(P -> Q), Conclusion: P + if conclusion == **left { + return Ok(()); + } + + // Case 2: Premise: ~(P -> Q), Conclusion: ~Q + if conclusion == (Expr::Not { operand: Box::new(*right.clone()) }) { + return Ok(()); + } + } + } + + Err(ProofCheckError::Other("Conclusion does not follow from the Conditional Elimination Negation rule.".to_string())) + } + } + } +} + +impl RuleT for BiconditionalInference { + fn get_name(&self) -> String { + use BiconditionalInference::*; + match self { + BiconIntro => "Biconditional Introduction", + BiconIntroNegation => "Biconditional Introduction Negation", + BiconElim => "Biconditional Elimination", + BiconElimNegation => "Biconditional Elimination Negation", + } + .into() + } + fn get_classifications(&self) -> HashSet { + [RuleClassification::BiconditionalInference].iter().cloned().collect() + } + fn num_deps(&self) -> Option { + use BiconditionalInference::*; + match self { + BiconIntro | BiconIntroNegation | BiconElim | BiconElimNegation => Some(2), + } + } + fn num_subdeps(&self) -> Option { + Some(0) + } + fn check(self, proof: &P, conclusion: Expr, deps: Vec>, sdeps: Vec) -> Result<(), ProofCheckError, P::SubproofReference>> { + use crate::rules::ProofCheckError::*; + use BiconditionalInference::*; + + assert!(sdeps.is_empty()); + match self { + BiconIntro => { + let prem1 = proof.lookup_expr_or_die(&deps[0])?; + let prem2 = proof.lookup_expr_or_die(&deps[1])?; + + either_order( + &prem1, + &prem2, + |i, j| { + match (i, j) { + // Case 1: Both premises are variables (P and Q) + (Expr::Var { name: ref left }, Expr::Var { name: ref right }) => { + if conclusion == Expr::assoc(Op::Bicon, &[Expr::var(left), Expr::var(right)]) { + return AnyOrderResult::Ok; + } + } + // Case 2: Both premises are negations (~P and ~Q) + ( + Expr::Not { operand: ref left }, + Expr::Not { operand: ref right }, + ) => { + if conclusion == Expr::assoc(Op::Bicon, &[*left.clone(), *right.clone()]) + || conclusion + == Expr::assoc( + Op::Bicon, + &[Expr::Not { operand: left.clone() }, Expr::Not { operand: right.clone() }], + ) + { + return AnyOrderResult::Ok; + } + } + _ => {} + } + + AnyOrderResult::Err(DoesNotOccur(conclusion.clone(), Expr::assoc_place_holder(Op::Bicon))) + }, + || DepDoesNotExist(Expr::assoc_place_holder(Op::Bicon), true), + ) + }, + BiconIntroNegation => { + let prem1 = proof.lookup_expr_or_die(&deps[0])?; + let prem2 = proof.lookup_expr_or_die(&deps[1])?; + + either_order( + &prem1, + &prem2, + |i, j| { + match (i, j) { + // Case 1: Premises: ~P and Q, Conclusion: ~(P <-> Q) + ( + Expr::Not { operand: ref left }, + Expr::Var { name: ref right }, + ) => { + if conclusion + == (Expr::Not { + operand: Box::new(Expr::assoc(Op::Bicon, &[*left.clone(), Expr::var(right)])), + }) + { + return AnyOrderResult::Ok; + } + } + // Case 2: Premises are P and ~Q, Conclusion: ~(P <-> Q) + ( + Expr::Var { name: ref left }, + Expr::Not { operand: ref right }, + ) => { + if conclusion + == (Expr::Not { + operand: Box::new(Expr::assoc(Op::Bicon, &[Expr::var(left), *right.clone()])), + }) + { + return AnyOrderResult::Ok; + } + } + _ => {} + } + + AnyOrderResult::Err(DoesNotOccur( + conclusion.clone(), + Expr::not_place_holder(), + )) + }, + || DepDoesNotExist(Expr::not_place_holder(), true), + ) + }, + BiconElim => { + let prem1 = proof.lookup_expr_or_die(&deps[0])?; + let prem2 = proof.lookup_expr_or_die(&deps[1])?; + + either_order( + &prem1, + &prem2, + |i, j| { + if let Expr::Assoc { ref op, ref exprs } = i { + if *op == Op::Bicon && exprs.len() == 2 { + let left = &exprs[0]; + let right = &exprs[1]; + + if let Expr::Not { ref operand } = j { + if **operand == *left && conclusion == (Expr::Not { operand: Box::new(right.clone()) }) { + return AnyOrderResult::Ok; + } else if **operand == *right && conclusion == (Expr::Not { operand: Box::new(left.clone()) }) { + return AnyOrderResult::Ok; + } else { + return AnyOrderResult::Err(DoesNotOccur(j.clone(), conclusion.clone())); + } + } + } + } + AnyOrderResult::WrongOrder + }, + || DepDoesNotExist(Expr::assoc_place_holder(Op::Bicon), true), + ) + }, + BiconElimNegation => { + let prem1 = proof.lookup_expr_or_die(&deps[0])?; + let prem2 = proof.lookup_expr_or_die(&deps[1])?; + + either_order( + &prem1, + &prem2, + |i, j| { + if let Expr::Not { ref operand } = i { + if let Expr::Assoc { ref op, ref exprs } = **operand { + if *op == Op::Bicon && exprs.len() == 2 { + let left = &exprs[0]; + let right = &exprs[1]; + + if *left == *j { + if conclusion == (Expr::Not { operand: Box::new(right.clone()) }) { + return AnyOrderResult::Ok; + } else { + return AnyOrderResult::Err(DoesNotOccur(conclusion.clone(), right.clone())); + } + } + + if *right == *j { + if conclusion == (Expr::Not { operand: Box::new(left.clone()) }) { + return AnyOrderResult::Ok; + } else { + return AnyOrderResult::Err(DoesNotOccur(conclusion.clone(), left.clone())); + } + } + } + } + } + AnyOrderResult::WrongOrder + }, + || DepDoesNotExist(Expr::not_place_holder(), true), + ) + } + } + } +} + +impl RuleT for QuantifierInference { + fn get_name(&self) -> String { + use QuantifierInference::*; + match self { + QuantInference => "Quantifier Inference", + } + .into() + } + fn get_classifications(&self) -> HashSet { + [RuleClassification::QuantifierInference].iter().cloned().collect() + } + fn num_deps(&self) -> Option { + use QuantifierInference::*; + match self { + QuantInference => Some(1), + } + } + fn num_subdeps(&self) -> Option { + Some(0) + } + fn check(self, proof: &P, conclusion: Expr, deps: Vec>, sdeps: Vec) -> Result<(), ProofCheckError, P::SubproofReference>> { + use QuantifierInference::*; + + assert!(sdeps.is_empty()); + match self { + QuantInference => check_by_normalize_first_expr_one_way(proof, deps, conclusion, |e| e.quantifier_inference()), + } + } +} + +fn check_by_normalize_first_expr(p: &P, deps: Vec>, conclusion: Expr, commutative: bool, normalize_fn: F, restriction: &str) -> Result<(), ProofCheckError, P::SubproofReference>> +where + F: Fn(Expr) -> Expr, +{ + let mut premise = p.lookup_expr_or_die(&deps[0])?; + let mut conclusion_mut = conclusion; + if commutative { + premise = premise.sort_commutative_ops(restriction); + conclusion_mut = conclusion_mut.sort_commutative_ops(restriction); + } + let mut p = normalize_fn(premise.clone()); + let mut q = normalize_fn(conclusion_mut); + if commutative { + p = p.sort_commutative_ops(restriction); + q = q.sort_commutative_ops(restriction); + } + if p == q { + Ok(()) + } else { + Err(ProofCheckError::Other(format!("{p} and {q} are not equal. {:?}", premise))) + } +} + +fn check_by_normalize_first_expr_one_way(p: &P, deps: Vec>, conclusion: Expr, normalize_fn: F) -> Result<(), ProofCheckError, P::SubproofReference>> +where + F: Fn(Expr) -> Expr, +{ + let premise = p.lookup_expr_or_die(&deps[0])?; + let p = normalize_fn(premise.clone()); + if p == conclusion.clone() { + Ok(()) + } else { + Err(ProofCheckError::Other(format!("{p} and {conclusion} are not equal. {:?}", premise))) + } +} + +fn check_by_normalize_multiple_possibilities(p: &P, deps: Vec>, conclusion: Expr, normalize_fn: F) -> Result<(), ProofCheckError, P::SubproofReference>> +where + F: Fn(Expr) -> Vec, +{ + let premise = p.lookup_expr_or_die(&deps[0])?; + + let premise_possibilities = normalize_fn(premise); + let conclusion_possibilities = normalize_fn(conclusion); + + for premise_expr in premise_possibilities.iter() { + for conclusion_expr in conclusion_possibilities.iter() { + if premise_expr == conclusion_expr { + return Ok(()); + } + } + } + + Err(ProofCheckError::Other(format!("None of the possible normalized premises match the conclusion."))) +} + +fn check_by_rewrite_rule_confl(p: &P, deps: Vec>, conclusion: Expr, commutative: bool, rule: &RewriteRule, restriction: &str) -> Result<(), ProofCheckError, P::SubproofReference>> { + check_by_normalize_first_expr(p, deps, conclusion, commutative, |e| rule.reduce(e), restriction) +} + +impl RuleT for BooleanEquivalence { + fn get_name(&self) -> String { + use BooleanEquivalence::*; + match self { + DeMorgan => "DeMorgan", + Association => "Association", + Commutation => "Commutation", + Idempotence => "Idempotence", + Distribution => "Distribution", + DoubleNegation => "Double Negation", + Complement => "Complement", + Identity => "Identity", + Annihilation => "Annihilation", + Inverse => "Inverse", + Absorption => "Absorption", + Reduction => "Reduction", + Adjacency => "Adjacency", + } + .into() + } + fn get_classifications(&self) -> HashSet { + [RuleClassification::BooleanEquivalence].iter().cloned().collect() + } + fn num_deps(&self) -> Option { + Some(1) + } // all equivalence rules rewrite a single statement + fn num_subdeps(&self) -> Option { + Some(0) + } + fn check(self, p: &P, conclusion: Expr, deps: Vec>, _sdeps: Vec) -> Result<(), ProofCheckError, P::SubproofReference>> { + use BooleanEquivalence::*; + match self { + DeMorgan => check_by_normalize_first_expr(p, deps, conclusion, false, |e| e.normalize_demorgans(), "none"), + Association => check_by_normalize_first_expr(p, deps, conclusion, false, |e| e.combine_associative_ops("bool"), "bool"), + Commutation => check_by_normalize_first_expr(p, deps, conclusion, false, |e| e.sort_commutative_ops("bool"), "bool"), + Idempotence => check_by_normalize_first_expr(p, deps, conclusion, true, |e| e.normalize_idempotence(), "none"), + DoubleNegation => check_by_rewrite_rule_confl(p, deps, conclusion, false, &equivs::DOUBLE_NEGATION, "none"), + // Distribution and Reduction have outputs containing binops that need commutative sorting + // because we can't expect people to know the specific order of outputs that our definition + // of the rules uses + Distribution => check_by_rewrite_rule_confl(p, deps, conclusion, true, &equivs::DISTRIBUTION, "none"), + Complement => check_by_normalize_first_expr(p, deps, conclusion, true, |e| e.normalize_complement(), "none"), + Identity => check_by_rewrite_rule_confl(p, deps, conclusion, false, &equivs::IDENTITY, "none"), + Annihilation => check_by_rewrite_rule_confl(p, deps, conclusion, false, &equivs::ANNIHILATION, "none"), + Inverse => check_by_rewrite_rule_confl(p, deps, conclusion, false, &equivs::INVERSE, "none"), + Absorption => check_by_normalize_first_expr(p, deps, conclusion, true, |e| e.normalize_absorption(), "none"), + Reduction => check_by_normalize_first_expr(p, deps, conclusion, true, |e| e.normalize_reduction(), "none"), + Adjacency => check_by_normalize_first_expr(p, deps, conclusion, true, |e| e.normalize_adjacency(), "none"), + } + } +} + +impl RuleT for ConditionalEquivalence { + fn get_name(&self) -> String { + use ConditionalEquivalence::*; + match self { + Implication => "Implication", + Contraposition => "Contraposition", + Exportation => "Exportation", + ConditionalDistribution => "Conditional Distribution", + ConditionalAbsorption => "Conditional Absorption", + ConditionalReduction => "Conditional Reduction", + ConditionalIdempotence => "Conditional Idempotence", + ConditionalComplement => "Conditional Complement", + ConditionalIdentity => "Conditional Identity", + ConditionalAnnihilation => "Conditional Annihilation", } .into() } @@ -1259,232 +1915,83 @@ impl RuleT for BiconditionalEquivalence { } } -impl RuleT for RedundantPrepositionalInference { +impl RuleT for QuantifierEquivalence { fn get_name(&self) -> String { - use RedundantPrepositionalInference::*; + use QuantifierEquivalence::*; match self { - ModusTollens => "Modus Tollens", - HypotheticalSyllogism => "Hypothetical Syllogism", - DisjunctiveSyllogism => "Disjunctive Syllogism", - ExcludedMiddle => "Excluded Middle", - ConstructiveDilemma => "Constructive Dilemma", - HalfDeMorgan => "Half DeMorgan", - QuantifierInference => "Quantifier Inference", + QuantifierNegation => "Quantifier Negation", + NullQuantification => "Null Quantification", + ReplacingBoundVars => "Replacing Bound Variables", + SwappingQuantifiers => "Swapping Quantifiers of Same Type", + AristoteleanSquare => "Aristotelean Square of Opposition", + QuantifierDistribution => "Quantifier Distribution", + PrenexLaws => "Prenex Laws", } .into() } fn get_classifications(&self) -> HashSet { - [RuleClassification::MiscInference].iter().cloned().collect() + [RuleClassification::QuantifierEquivalence].iter().cloned().collect() } fn num_deps(&self) -> Option { - use RedundantPrepositionalInference::*; - match self { - ModusTollens | HypotheticalSyllogism | DisjunctiveSyllogism => Some(2), - ExcludedMiddle => Some(0), - ConstructiveDilemma => Some(3), - HalfDeMorgan | QuantifierInference => Some(1), - } - } + Some(1) + } // all equivalence rules rewrite a single statement fn num_subdeps(&self) -> Option { Some(0) } - fn check(self, proof: &P, conclusion: Expr, deps: Vec>, sdeps: Vec) -> Result<(), ProofCheckError, P::SubproofReference>> { - use ProofCheckError::*; - use RedundantPrepositionalInference::*; - - assert!(sdeps.is_empty()); + fn check(self, p: &P, conclusion: Expr, deps: Vec>, _sdeps: Vec) -> Result<(), ProofCheckError, P::SubproofReference>> { + use QuantifierEquivalence::*; match self { - ModusTollens => { - // P -> Q, ~Q - // ---------- - // ~P - let dep_0 = proof.lookup_expr_or_die(&deps[0])?; - let dep_1 = proof.lookup_expr_or_die(&deps[1])?; - either_order( - &dep_0, - &dep_1, - |dep_0, dep_1| { - if let Expr::Impl { left: p, right: q } = dep_0 { - let not_p = !(*p.clone()); - let not_q = !(*q.clone()); - if not_q != *dep_1 { - AnyOrderResult::Err(DoesNotOccur(not_q, dep_1.clone())) - } else if not_p != conclusion { - AnyOrderResult::Err(DoesNotOccur(not_p, conclusion.clone())) - } else { - AnyOrderResult::Ok - } - } else { - AnyOrderResult::WrongOrder - } - }, - || DepDoesNotExist(Expr::impl_place_holder(), true), - ) - } - HypotheticalSyllogism => { - // P -> Q, Q -> R - // -------------- - // P -> R - let dep_0 = proof.lookup_expr_or_die(&deps[0])?; - let dep_1 = proof.lookup_expr_or_die(&deps[1])?; - either_order( - &dep_0, - &dep_1, - |dep_0, dep_1| { - if let (Expr::Impl { left: p_0, right: q_0 }, Expr::Impl { left: q_1, right: r_0 }, Expr::Impl { left: p_1, right: r_1 }) = (dep_0, dep_1, &conclusion) { - if p_0 != p_1 { - AnyOrderResult::Err(DoesNotOccur(*p_0.clone(), *p_1.clone())) - } else if q_0 != q_1 { - AnyOrderResult::Err(DoesNotOccur(*q_0.clone(), *q_1.clone())) - } else if r_0 != r_1 { - AnyOrderResult::Err(DoesNotOccur(*r_0.clone(), *r_1.clone())) - } else { - AnyOrderResult::Ok - } - } else { - AnyOrderResult::WrongOrder - } - }, - || DepDoesNotExist(Expr::impl_place_holder(), true), - ) - } - DisjunctiveSyllogism => { - let dep_0 = proof.lookup_expr_or_die(&deps[0])?; - let dep_1 = proof.lookup_expr_or_die(&deps[1])?; - - let is_disjunctive_case = |disj, negation, conclusion| { - if let Expr::Assoc { op: Op::Or, exprs } = disj { - if exprs.len() == 2 { - let (p, q) = (&exprs[0], &exprs[1]); - - match (p, q, negation, conclusion) { - // Case 1: P | Q, ~P concludes Q - (p_expr, q_expr, Expr::Not { operand }, conclusion) if p_expr == &*operand && q_expr == conclusion => true, - // Case 2: P | Q, ~Q concludes P - (p_expr, q_expr, Expr::Not { operand }, conclusion) if q_expr == &*operand && p_expr == conclusion => true, - // Case 3: ~P | Q, P concludes Q - (Expr::Not { operand }, q_expr, p_expr, conclusion) if **operand == p_expr && q_expr == conclusion => true, - // Case 4: P | ~Q, Q concludes P - (p_expr, Expr::Not { operand }, q_expr, conclusion) if **operand == q_expr && p_expr == conclusion => true, - _ => false, - } - } else { - false - } - } else { - false - } - }; - - // Check if dep_0 or dep_1 is the disjunction, and apply the disjunctive syllogism rule - if is_disjunctive_case(dep_0.clone(), dep_1.clone(), &conclusion) || is_disjunctive_case(dep_1, dep_0, &conclusion) { - Ok(()) - } else { - Err(ProofCheckError::Other("Conclusion does not logically follow from premises".to_string())) - } - } - ExcludedMiddle => { - // A | ~A - let wrong_form_err = ConclusionOfWrongForm(Expr::var("_") | !Expr::var("_")); - let operands = match conclusion { - Expr::Assoc { op: Op::Or, exprs } => exprs, - _ => return Err(wrong_form_err), - }; - - let (a, not_a) = match operands.as_slice() { - [a, not_a] => (a, not_a), - _ => return Err(wrong_form_err), - }; - - let not_a_0 = not_a.clone(); - let not_a_1 = !(a.clone()); - - if not_a_0 == not_a_1 { - Ok(()) - } else { - Err(DoesNotOccur(not_a_0, not_a_1)) - } - } - ConstructiveDilemma => { - // P -> Q, R -> S, P | R - // --------------------- - // Q | S - let deps = deps.into_iter().map(|dep| proof.lookup_expr_or_die(&dep)).collect::, _>>()?; - any_order( - &deps, - |deps| { - let (dep_0, dep_1, dep_2) = deps.iter().collect_tuple().unwrap(); - if let (Expr::Impl { left: p_0, right: q_0 }, Expr::Impl { left: r_0, right: s_0 }, Expr::Assoc { op: Op::Or, exprs: p_r }, Expr::Assoc { op: Op::Or, exprs: q_s }) = (dep_0, dep_1, dep_2, &conclusion) { - let p_0 = *p_0.clone(); - let q_0 = *q_0.clone(); - let r_0 = *r_0.clone(); - let s_0 = *s_0.clone(); - let dep_2 = (*dep_2).clone(); - let conclusion = conclusion.clone(); - - let (p_1, r_1) = match p_r.iter().collect_tuple() { - Some((p_1, r_1)) => (p_1, r_1), - None => return AnyOrderResult::Err(DoesNotOccur(p_0 | r_0, dep_2)), - }; - let (q_1, s_1) = match q_s.iter().collect_tuple() { - Some((q_1, s_1)) => (q_1, s_1), - None => return AnyOrderResult::Err(DoesNotOccur(q_0 | s_0, conclusion)), - }; - - let p_1 = p_1.clone(); - let q_1 = q_1.clone(); - let r_1 = r_1.clone(); - let s_1 = s_1.clone(); - - if p_0 != p_1 { - AnyOrderResult::Err(DoesNotOccur(p_0, p_1)) - } else if q_0 != q_1 { - AnyOrderResult::Err(DoesNotOccur(q_0, q_1)) - } else if r_0 != r_1 { - AnyOrderResult::Err(DoesNotOccur(r_0, r_1)) - } else if s_0 != s_1 { - AnyOrderResult::Err(DoesNotOccur(s_0, s_1)) - } else { - AnyOrderResult::Ok - } - } else { - AnyOrderResult::WrongOrder - } - }, - || OneOf(btreeset![DepDoesNotExist(Expr::impl_place_holder(), true), DepDoesNotExist(Expr::assocplaceholder(Op::Or), true),]), - ) - } - HalfDeMorgan => check_by_normalize_multiple_possibilities(proof, deps, conclusion, |e| e.normalize_halfdemorgans()), - QuantifierInference => check_by_normalize_first_expr_one_way(proof, deps, conclusion, |e| e.quantifier_inference()), + QuantifierNegation => check_by_normalize_first_expr(p, deps, conclusion, false, Expr::negate_quantifiers, "none"), + NullQuantification => check_by_normalize_first_expr(p, deps, conclusion, false, Expr::normalize_null_quantifiers, "none"), + ReplacingBoundVars => check_by_normalize_first_expr(p, deps, conclusion, false, Expr::replacing_bound_vars, "none"), + SwappingQuantifiers => check_by_normalize_first_expr(p, deps, conclusion, false, Expr::swap_quantifiers, "none"), + AristoteleanSquare => check_by_normalize_first_expr(p, deps, conclusion, false, Expr::aristotelean_square, "none"), + QuantifierDistribution => check_by_normalize_first_expr(p, deps, conclusion, false, Expr::quantifier_distribution, "none"), + PrenexLaws => check_by_normalize_first_expr(p, deps, conclusion, false, Expr::normalize_prenex_laws, "none"), } } } -impl RuleT for AutomationRelatedRules { +impl RuleT for Special { fn get_name(&self) -> String { + use Special::*; match self { - AutomationRelatedRules::Resolution => "Resolution", - AutomationRelatedRules::TruthFunctionalConsequence => "Truth-Functional Consequence", + Reiteration => "Reiteration", + Resolution => "Resolution", + TruthFunctionalConsequence => "Truth-Functional Consequence", } .into() } fn get_classifications(&self) -> HashSet { - [RuleClassification::MiscInference].iter().cloned().collect() + [RuleClassification::Special].iter().cloned().collect() } fn num_deps(&self) -> Option { + use Special::*; match self { - AutomationRelatedRules::Resolution => Some(2), - AutomationRelatedRules::TruthFunctionalConsequence => None, + Reiteration => Some(1), + Resolution => Some(2), + TruthFunctionalConsequence => None, } } fn num_subdeps(&self) -> Option { + use Special::*; match self { - AutomationRelatedRules::Resolution | AutomationRelatedRules::TruthFunctionalConsequence => Some(0), + Reiteration | Resolution | TruthFunctionalConsequence => Some(0), } } fn check(self, p: &P, conclusion: Expr, deps: Vec>, _sdeps: Vec) -> Result<(), ProofCheckError, P::SubproofReference>> { + use crate::rules::ProofCheckError::DoesNotOccur; + use Special::*; match self { - AutomationRelatedRules::Resolution => { + Reiteration => { + let prem = p.lookup_expr_or_die(&deps[0])?; + if prem == conclusion { + Ok(()) + } else { + Err(DoesNotOccur(conclusion, prem)) + } + } + Resolution => { let prem0 = p.lookup_expr_or_die(&deps[0])?; let prem1 = p.lookup_expr_or_die(&deps[1])?; let mut premise_disjuncts = HashSet::new(); @@ -1492,8 +1999,14 @@ impl RuleT for AutomationRelatedRules { premise_disjuncts.extend(prem1.disjuncts()); let conclusion_disjuncts = conclusion.disjuncts().into_iter().collect::>(); let mut remainder = premise_disjuncts.difference(&conclusion_disjuncts).cloned().collect::>(); - //println!("resolution remainder of {:?} and {:?} is {:?}", premise_disjuncts, conclusion_disjuncts, remainder); remainder.sort(); + + // Ensure conclusion terms are in premises + if !conclusion_disjuncts.is_subset(&premise_disjuncts) { + return Err(ProofCheckError::Other(format!("Conclusion contains terms that are not in the premises: {:?}", conclusion_disjuncts.difference(&premise_disjuncts).collect::>()))); + } + + // Ensure remainder forms a contradiction match &remainder[..] { [e1, e2] => do_expressions_contradict::

(e1, e2), _ => { @@ -1506,7 +2019,7 @@ impl RuleT for AutomationRelatedRules { } } } - AutomationRelatedRules::TruthFunctionalConsequence => { + TruthFunctionalConsequence => { // Closure for making CNF conversion errors let cnf_error = || ProofCheckError::Other("Failed converting to CNF; the propositions for this rule should not use quantifiers, arithmetic, or application.".to_string()); @@ -1553,43 +2066,6 @@ impl RuleT for AutomationRelatedRules { } } -impl RuleT for QuantifierEquivalence { - fn get_name(&self) -> String { - use QuantifierEquivalence::*; - match self { - QuantifierNegation => "Quantifier Negation", - NullQuantification => "Null Quantification", - ReplacingBoundVars => "Replacing Bound Variables", - SwappingQuantifiers => "Swapping Quantifiers of Same Type", - AristoteleanSquare => "Aristotelean Square of Opposition", - QuantifierDistribution => "Quantifier Distribution", - PrenexLaws => "Prenex Laws", - } - .into() - } - fn get_classifications(&self) -> HashSet { - [RuleClassification::QuantifierEquivalence].iter().cloned().collect() - } - fn num_deps(&self) -> Option { - Some(1) - } // all equivalence rules rewrite a single statement - fn num_subdeps(&self) -> Option { - Some(0) - } - fn check(self, p: &P, conclusion: Expr, deps: Vec>, _sdeps: Vec) -> Result<(), ProofCheckError, P::SubproofReference>> { - use QuantifierEquivalence::*; - match self { - QuantifierNegation => check_by_normalize_first_expr(p, deps, conclusion, false, Expr::negate_quantifiers, "none"), - NullQuantification => check_by_normalize_first_expr(p, deps, conclusion, false, Expr::normalize_null_quantifiers, "none"), - ReplacingBoundVars => check_by_normalize_first_expr(p, deps, conclusion, false, Expr::replacing_bound_vars, "none"), - SwappingQuantifiers => check_by_normalize_first_expr(p, deps, conclusion, false, Expr::swap_quantifiers, "none"), - AristoteleanSquare => check_by_normalize_first_expr(p, deps, conclusion, false, Expr::aristotelean_square, "none"), - QuantifierDistribution => check_by_normalize_first_expr(p, deps, conclusion, false, Expr::quantifier_distribution, "none"), - PrenexLaws => check_by_normalize_first_expr(p, deps, conclusion, false, Expr::normalize_prenex_laws, "none"), - } - } -} - impl RuleT for Induction { fn get_name(&self) -> String { match self { @@ -1600,7 +2076,7 @@ impl RuleT for Induction { } fn get_classifications(&self) -> HashSet { - hashset![RuleClassification::MiscInference] + [RuleClassification::Induction].iter().cloned().collect() } fn num_deps(&self) -> Option { @@ -1618,7 +2094,7 @@ impl RuleT for Induction { // Check conclusion let (quantified_var, property) = match &conclusion { Expr::Quant { kind: QuantKind::Forall, name, body } => (name, &**body), - _ => return Err(ProofCheckError::ConclusionOfWrongForm(Expr::quant_placeholder(QuantKind::Forall))), + _ => return Err(ProofCheckError::ConclusionOfWrongForm(Expr::quant_place_holder(QuantKind::Forall))), }; match self { @@ -1639,7 +2115,7 @@ impl RuleT for Induction { let (induction_var, induction_impl) = if let Expr::Quant { kind: QuantKind::Forall, name, body } = inductive_case { (name, &**body) } else { - return AnyOrderResult::Err(ProofCheckError::DepOfWrongForm(inductive_case.clone(), Expr::quant_placeholder(QuantKind::Forall))); + return AnyOrderResult::Err(ProofCheckError::DepOfWrongForm(inductive_case.clone(), Expr::quant_place_holder(QuantKind::Forall))); }; if crate::expr::free_vars(&conclusion).contains(induction_var) { return AnyOrderResult::Err(ProofCheckError::Other(format!("Induction variable '{induction_var}' is a free variable in the conclusion"))); @@ -1667,7 +2143,7 @@ impl RuleT for Induction { // ---- // ∀ quantified_var, property(quantified_var) let prem = p.lookup_expr_or_die(&deps[0])?; - let (n, e) = if let Expr::Quant { kind: QuantKind::Forall, name, body } = prem { (name, *body) } else { return Err(ProofCheckError::DepOfWrongForm(prem, Expr::quant_placeholder(QuantKind::Forall))) }; + let (n, e) = if let Expr::Quant { kind: QuantKind::Forall, name, body } = prem { (name, *body) } else { return Err(ProofCheckError::DepOfWrongForm(prem, Expr::quant_place_holder(QuantKind::Forall))) }; let (e, property_n) = if let Expr::Impl { left, right } = e { (*left, *right) } else { return Err(ProofCheckError::DepOfWrongForm(e, Expr::impl_place_holder())) }; if crate::expr::free_vars(&conclusion).contains(&n) { return Err(ProofCheckError::Other(format!("Variable '{n}' is free in '{conclusion}'"))); @@ -1676,7 +2152,7 @@ impl RuleT for Induction { if property_n != expected_property_n { return Err(ProofCheckError::DepOfWrongForm(property_n, expected_property_n)); } - let (x, e) = if let Expr::Quant { kind: QuantKind::Forall, name, body } = e { (name, *body) } else { return Err(ProofCheckError::DepOfWrongForm(e, Expr::quant_placeholder(QuantKind::Forall))) }; + let (x, e) = if let Expr::Quant { kind: QuantKind::Forall, name, body } = e { (name, *body) } else { return Err(ProofCheckError::DepOfWrongForm(e, Expr::quant_place_holder(QuantKind::Forall))) }; let (x_lt_n, property_x) = if let Expr::Impl { left, right } = e { (*left, *right) } else { diff --git a/bindings/java/src/java_rule.rs b/bindings/java/src/java_rule.rs index f112cc22..1efb51c3 100644 --- a/bindings/java/src/java_rule.rs +++ b/bindings/java/src/java_rule.rs @@ -67,11 +67,16 @@ pub extern "system" fn Java_edu_rpi_aris_rules_Rule_getRuleType(env: JNIEnv, obj let ty = match classification { Introduction => env.call_static_method("java/lang/Enum", "valueOf", "(Ljava/lang/Class;Ljava/lang/String;)Ljava/lang/Enum;", &[cls, jv("INTRO")?])?, Elimination => env.call_static_method("java/lang/Enum", "valueOf", "(Ljava/lang/Class;Ljava/lang/String;)Ljava/lang/Enum;", &[cls, jv("ELIM")?])?, - BooleanEquivalence => env.call_static_method("java/lang/Enum", "valueOf", "(Ljava/lang/Class;Ljava/lang/String;)Ljava/lang/Enum;", &[cls, jv("BOOL_EQUIVALENCE")?])?, + BooleanInference => env.call_static_method("java/lang/Enum", "valueOf", "(Ljava/lang/Class;Ljava/lang/String;)Ljava/lang/Enum;", &[cls, jv("BOOLEAN_INFERENCE")?])?, + ConditionalInference => env.call_static_method("java/lang/Enum", "valueOf", "(Ljava/lang/Class;Ljava/lang/String;)Ljava/lang/Enum;", &[cls, jv("CONDITIONAL_INFERENCE")?])?, + BiconditionalInference => env.call_static_method("java/lang/Enum", "valueOf", "(Ljava/lang/Class;Ljava/lang/String;)Ljava/lang/Enum;", &[cls, jv("BICONDITIONAL_INFERENCE")?])?, + QuantifierInference => env.call_static_method("java/lang/Enum", "valueOf", "(Ljava/lang/Class;Ljava/lang/String;)Ljava/lang/Enum;", &[cls, jv("QUANTIFIER_INFERENCE")?])?, + BooleanEquivalence => env.call_static_method("java/lang/Enum", "valueOf", "(Ljava/lang/Class;Ljava/lang/String;)Ljava/lang/Enum;", &[cls, jv("BOOLEAN_EQUIVALENCE")?])?, ConditionalEquivalence => env.call_static_method("java/lang/Enum", "valueOf", "(Ljava/lang/Class;Ljava/lang/String;)Ljava/lang/Enum;", &[cls, jv("CONDITIONAL_EQUIVALENCE")?])?, BiconditionalEquivalence => env.call_static_method("java/lang/Enum", "valueOf", "(Ljava/lang/Class;Ljava/lang/String;)Ljava/lang/Enum;", &[cls, jv("BICONDITIONAL_EQUIVALENCE")?])?, QuantifierEquivalence => env.call_static_method("java/lang/Enum", "valueOf", "(Ljava/lang/Class;Ljava/lang/String;)Ljava/lang/Enum;", &[cls, jv("QUANTIFIER_EQUIVALENCE")?])?, - MiscInference => env.call_static_method("java/lang/Enum", "valueOf", "(Ljava/lang/Class;Ljava/lang/String;)Ljava/lang/Enum;", &[cls, jv("MISC_INFERENCE")?])?, + Special => env.call_static_method("java/lang/Enum", "valueOf", "(Ljava/lang/Class;Ljava/lang/String;)Ljava/lang/Enum;", &[cls, jv("SPECIAL")?])?, + Induction => env.call_static_method("java/lang/Enum", "valueOf", "(Ljava/lang/Class;Ljava/lang/String;)Ljava/lang/Enum;", &[cls, jv("INDUCTION")?])?, }; env.set_object_array_element(types, i as _, ty.l()?)?; } From e1af18468ec61400185bf490ef755c168130bdbe Mon Sep 17 00:00:00 2001 From: Zachary Bonagura Date: Mon, 9 Dec 2024 21:59:48 -0500 Subject: [PATCH 4/6] Tooltip images for all rules, both light and dark Tooltip images for all rules, both light and dark --- aris/src/proofs/proof_tests.rs | 10 +- aris/src/proofs/xml_interop.rs | 6 +- web-app/src/components/proof_widget/mod.rs | 87 ++++++------------ .../Biconditional Elimination Negation.png | Bin 0 -> 18154 bytes .../Biconditional Elimination.png | Bin 0 -> 16613 bytes .../Biconditional Introduction Negation.png | Bin 0 -> 17823 bytes .../Biconditional Introduction.png | Bin 0 -> 15452 bytes .../Conditional Elimination Negation.png | Bin 0 -> 14159 bytes .../Conditional Introduction Negation.png | Bin 0 -> 11428 bytes .../proofImages_dark/Destructive Dilemma.png | Bin 0 -> 9502 bytes .../Disjunctive Syllogism.png | Bin 17264 -> 17252 bytes web-app/static/proofImages_dark/Exclusion.png | Bin 0 -> 21267 bytes .../static/proofImages_dark/Modus Tollens.png | Bin 4259 -> 18270 bytes .../Strengthening the Antecedent.png | Bin 0 -> 25803 bytes .../Weakening the Consequent.png | Bin 0 -> 26268 bytes .../Biconditional Elimination Negation.png | Bin 0 -> 16759 bytes .../Biconditional Elimination.png | Bin 0 -> 15187 bytes .../Biconditional Introduction Negation.png | Bin 0 -> 16116 bytes .../Biconditional Introduction.png | Bin 0 -> 13797 bytes .../Conditional Elimination Negation.png | Bin 0 -> 12742 bytes .../Conditional Introduction Negation.png | Bin 0 -> 10033 bytes .../proofImages_light/Destructive Dilemma.png | Bin 0 -> 8058 bytes .../Disjunctive Syllogism.png | Bin 16796 -> 16772 bytes .../static/proofImages_light/Exclusion.png | Bin 0 -> 18504 bytes .../proofImages_light/Modus Tollens.png | Bin 4109 -> 16090 bytes .../Strengthening the Antecedent.png | Bin 0 -> 23413 bytes .../Weakening the Consequent.png | Bin 0 -> 24146 bytes 27 files changed, 36 insertions(+), 67 deletions(-) create mode 100644 web-app/static/proofImages_dark/Biconditional Elimination Negation.png create mode 100644 web-app/static/proofImages_dark/Biconditional Elimination.png create mode 100644 web-app/static/proofImages_dark/Biconditional Introduction Negation.png create mode 100644 web-app/static/proofImages_dark/Biconditional Introduction.png create mode 100644 web-app/static/proofImages_dark/Conditional Elimination Negation.png create mode 100644 web-app/static/proofImages_dark/Conditional Introduction Negation.png create mode 100644 web-app/static/proofImages_dark/Destructive Dilemma.png create mode 100644 web-app/static/proofImages_dark/Exclusion.png create mode 100644 web-app/static/proofImages_dark/Strengthening the Antecedent.png create mode 100644 web-app/static/proofImages_dark/Weakening the Consequent.png create mode 100644 web-app/static/proofImages_light/Biconditional Elimination Negation.png create mode 100644 web-app/static/proofImages_light/Biconditional Elimination.png create mode 100644 web-app/static/proofImages_light/Biconditional Introduction Negation.png create mode 100644 web-app/static/proofImages_light/Biconditional Introduction.png create mode 100644 web-app/static/proofImages_light/Conditional Elimination Negation.png create mode 100644 web-app/static/proofImages_light/Conditional Introduction Negation.png create mode 100644 web-app/static/proofImages_light/Destructive Dilemma.png create mode 100644 web-app/static/proofImages_light/Exclusion.png create mode 100644 web-app/static/proofImages_light/Strengthening the Antecedent.png create mode 100644 web-app/static/proofImages_light/Weakening the Consequent.png diff --git a/aris/src/proofs/proof_tests.rs b/aris/src/proofs/proof_tests.rs index 4c2854a4..0842d697 100644 --- a/aris/src/proofs/proof_tests.rs +++ b/aris/src/proofs/proof_tests.rs @@ -1286,7 +1286,7 @@ pub fn test_con_intro_negation() -> (P, Vec>, Vec>) let mut prf = P::new(); let r1 = prf.add_premise(p("~P")); let r2 = prf.add_premise(p("Q")); - + let r3 = prf.add_step(Justification(p("P -> Q"), RuleM::ConIntroNegation, vec![i(r1.clone())], vec![])); let r4 = prf.add_step(Justification(p("P -> Q"), RuleM::ConIntroNegation, vec![i(r2.clone())], vec![])); @@ -1302,7 +1302,7 @@ pub fn test_con_elim_negation() -> (P, Vec>, Vec>) { use crate::parser::parse_unwrap as p; let mut prf = P::new(); let r1 = prf.add_premise(p("~(P -> Q)")); - + let r2 = prf.add_premise(p("P -> Q")); let r3 = prf.add_step(Justification(p("P"), RuleM::ConElimNegation, vec![i(r1.clone())], vec![])); @@ -1354,7 +1354,7 @@ pub fn test_bicon_intro_negation() -> (P, Vec>, Vec> let r8 = prf.add_step(Justification(p("P <-> Q"), RuleM::BiconIntroNegation, vec![i(r3.clone()), i(r4.clone())], vec![])); let r9 = prf.add_step(Justification(p("~(P <-> Q)"), RuleM::BiconIntroNegation, vec![i(r1.clone()), i(r4.clone())], vec![])); let r10 = prf.add_step(Justification(p("~(P <-> Q)"), RuleM::BiconIntroNegation, vec![i(r2.clone()), i(r3.clone())], vec![])); - + (prf, vec![i(r5), i(r6)], vec![i(r7), i(r8), i(r9), i(r10)]) } pub fn test_bicon_elim() -> (P, Vec>, Vec>) { @@ -1372,7 +1372,7 @@ pub fn test_bicon_elim() -> (P, Vec>, Vec>) { let r7 = prf.add_step(Justification(p("P"), RuleM::BiconElim, vec![i(r1.clone()), i(r3.clone())], vec![])); let r8 = prf.add_step(Justification(p("~Q"), RuleM::BiconElim, vec![i(r1.clone()), i(r3.clone())], vec![])); let r9 = prf.add_step(Justification(p("~P"), RuleM::BiconElim, vec![i(r1.clone()), i(r2.clone())], vec![])); - + (prf, vec![i(r4), i(r5)], vec![i(r6), i(r7), i(r8), i(r9)]) } pub fn test_bicon_elim_negation() -> (P, Vec>, Vec>) { @@ -1390,7 +1390,7 @@ pub fn test_bicon_elim_negation() -> (P, Vec>, Vec>) let r7 = prf.add_step(Justification(p("P"), RuleM::BiconElimNegation, vec![i(r1.clone()), i(r3.clone())], vec![])); let r8 = prf.add_step(Justification(p("~Q"), RuleM::BiconElimNegation, vec![i(r1.clone()), i(r3.clone())], vec![])); let r9 = prf.add_step(Justification(p("~P"), RuleM::BiconElimNegation, vec![i(r1.clone()), i(r2.clone())], vec![])); - + (prf, vec![i(r4), i(r5)], vec![i(r6), i(r7), i(r8), i(r9)]) } diff --git a/aris/src/proofs/xml_interop.rs b/aris/src/proofs/xml_interop.rs index 069137c3..692a970d 100644 --- a/aris/src/proofs/xml_interop.rs +++ b/aris/src/proofs/xml_interop.rs @@ -124,8 +124,8 @@ pub fn proof_from_xml(r: R) -> Result<(P, ProofMetaData), Str on_current_proof! { proof, { let p = proof.add_subproof(); subproofs.insert(seen_premises[0].clone(), p.clone()); lines_to_subs.insert(last_linenum.clone(), p) } } } rulename => { - let rule = RuleM::from_serialized_name(rulename).unwrap_or(RuleM::Reit); // TODO: explicit RuleM::NoSelectionMade? - //println!("{:?}", rule); + let rule = RuleM::from_serialized_name(rulename).unwrap_or(RuleM::Reiteration); // TODO: explicit RuleM::NoSelectionMade? + //println!("{:?}", rule); let deps = seen_premises.iter().filter_map(|x| line_refs.get(x)).cloned().collect::>(); let sdeps = seen_premises.iter().filter_map(|x| lines_to_subs.get(x)).cloned().collect::>(); //println!("{:?} {:?}", line_refs, subproofs); @@ -343,7 +343,7 @@ mod tests { let sub_lines = sub.lines(); let Justification(e1, r1, d1, s1) = prf.lookup_pj(&Coproduct::inject(*sub_lines[0].get::<

::JustificationReference, _>().unwrap())).unwrap().get::, _>().unwrap().clone(); assert_eq!(e1, Expr::var("A")); - assert_eq!(r1, RuleM::Reit); + assert_eq!(r1, RuleM::Reiteration); assert_eq!(d1.len(), 1); assert_eq!(s1.len(), 0); let Justification(e2, r2, d2, s2) = prf.lookup_pj(&Coproduct::inject(*lines[1].get::<

::JustificationReference, _>().unwrap())).unwrap().get::, _>().unwrap().clone(); diff --git a/web-app/src/components/proof_widget/mod.rs b/web-app/src/components/proof_widget/mod.rs index 16644493..dfb719c8 100644 --- a/web-app/src/components/proof_widget/mod.rs +++ b/web-app/src/components/proof_widget/mod.rs @@ -166,29 +166,15 @@ impl ProofWidget { /// /// [lib]: https://github.com/vsn4ik/bootstrap-submenu fn render_rules_menu(&self, ctx: &Context, jref:

::JustificationReference, cur_rule_name: &str) -> Html { - let equivalence_classes = [ - RuleClassification::BooleanEquivalence, - RuleClassification::ConditionalEquivalence, - RuleClassification::BiconditionalEquivalence, - RuleClassification::QuantifierEquivalence, - ]; - - let misc_inference_classes = [ - RuleClassification::BooleanInference, - RuleClassification::ConditionalInference, - RuleClassification::BiconditionalInference, - RuleClassification::QuantifierInference, - ]; - + let equivalence_classes = [RuleClassification::BooleanEquivalence, RuleClassification::ConditionalEquivalence, RuleClassification::BiconditionalEquivalence, RuleClassification::QuantifierEquivalence]; + + let misc_inference_classes = [RuleClassification::BooleanInference, RuleClassification::ConditionalInference, RuleClassification::BiconditionalInference, RuleClassification::QuantifierInference]; + let special_rule_names = ["Reiteration", "Resolution", "Truth-Functional Consequence"]; - + let render_rule_button = |rule: Rule| { let pjref = Coproduct::inject(jref); - let image_src = format!( - "{}/{}.png", - if theme() == "dark" { "proofImages_dark" } else { "proofImages_light" }, - rule.get_name() - ); + let image_src = format!("{}/{}.png", if theme() == "dark" { "proofImages_dark" } else { "proofImages_light" }, rule.get_name()); html! { -

- { for class.rules().map(render_rule_button) } + + let render_rules_from_class = |class: RuleClassification| { + html! { +
+ +
+ { for class.rules().map(render_rule_button) } +
-
+ } }; - - let special_rules = RuleClassification::iter() - .flat_map(|c| c.rules()) - .filter(|r| special_rule_names.contains(&r.get_name().as_str())) - .map(render_rule_button); - - let induction_category = RuleClassification::iter() - .find(|c| c.to_string() == "Induction") - .map(render_rules_from_class); - - let misc_inference_submenu = misc_inference_classes - .iter() - .map(|&c| render_rules_from_class(c)); - - let equivalence_submenu = equivalence_classes - .iter() - .map(|&c| render_rules_from_class(c)); - - let other_menus = RuleClassification::iter() - .filter(|c| { - !special_rule_names.contains(&c.to_string().as_str()) - && c.to_string() != "Induction" - && !equivalence_classes.contains(c) - && !misc_inference_classes.contains(c) - && c.to_string() != "Special" - }) - .map(render_rules_from_class); - + + let special_rules = RuleClassification::iter().flat_map(|c| c.rules()).filter(|r| special_rule_names.contains(&r.get_name().as_str())).map(render_rule_button); + + let induction_category = RuleClassification::iter().find(|c| c.to_string() == "Induction").map(render_rules_from_class); + + let misc_inference_submenu = misc_inference_classes.iter().map(|&c| render_rules_from_class(c)); + + let equivalence_submenu = equivalence_classes.iter().map(|&c| render_rules_from_class(c)); + + let other_menus = RuleClassification::iter().filter(|c| !special_rule_names.contains(&c.to_string().as_str()) && c.to_string() != "Induction" && !equivalence_classes.contains(c) && !misc_inference_classes.contains(c) && c.to_string() != "Special").map(render_rules_from_class); + html! {
} } - - fn render_justification_widget(&self, ctx: &Context, jref:

::JustificationReference) -> Html { let just = self.prf.lookup_justification_or_die(&jref).expect("proofref should exist in self.prf"); diff --git a/web-app/static/proofImages_dark/Biconditional Elimination Negation.png b/web-app/static/proofImages_dark/Biconditional Elimination Negation.png new file mode 100644 index 0000000000000000000000000000000000000000..00fbbd20296a8dac309ff374c1c05b2292f2924e GIT binary patch literal 18154 zcmd74WmH^Wx8@5)A%(lU2X~jk-Ccuwu!O?h-GVzLXmAqTJ$N8Ua7eJ=9<+=1yz)P{ z-*fwnzGK|(PgP@8?XhL;z2-BY`I|dhT~!VZnHU)c1_n(*URo3Sc@F~vn~a12{Z`^I z$Oip@eXA)a2~#skx(@?G38Nq_q3vaQln3&{)oHtV*7^QjNm3F(1rDK-#zaB@HMGh| z1Ko%;T(`Ak^(qOO#QWzNkh-5@bpY&mN zRp)B8xl-6(l5$lcvPQA{N+kHh{hUF-?!(kw{#zgnu>(0s^!SnV;^YV&6m*k8;JTDa z#Hi_La_XWS1kz6p>al3H8FKrS1#SWAA8uk>-YEAJL%-oq2qf^~AZ5VBiW*xS=7aR# z!^Ex@6AjPU05-9sS{7v_z&RhJn^c_9GG@^w3Mp^R0m>WiFsFIYbeu8JGtxIlYJaJJ z{xSF^Dkd*1e_jk8(jFH|_fbICz(eTUusH`TJ*IS_PA*EttI<=h4n{F`O`6-N7*V=b 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z_s0=;m&vhB!OGyn3gy}c+;*;OPq*{p-rB+3C?hga$EFP;XQnOcOGTbK3m_o_E8!iflA`4Xzljp+n6z4%i!N?4 z>)q-WDMogJ^SQ39&(vL*+q&x3DW{XLKuyvyGfPS}{rvz1Z`q&f5PrGmXCEHVreif2aQ2)GUH`1Nz3+aM;%Rxy!7K)e1Jv{Dj3noFzQa?PZ)%JR zWrE8uMit-KmaRpUxBlzCSkrso3^E?QEU1$mOCfAg`YBX`OK~@SoZs zOk*{_a7e!=o4eF}6xl>wsIK{~*nCcQ1gi3P$llizK2?*Jkpj|L zu>S8hI%Gf0oKR?097rvy!h4p3XTuO{*ohy!NH*L&>RE=2jFkn=Jv$^Z@l$exDys&` zO6_czm}bL3^?(R8@;YA**)%p}ExEPzYXB7y*TgWp&MSIZBOm-3fu>!QXNFKEfDLhp zZsPD6Z$xx}MBsB38M9|uB(iB@*p7{)I)5$D@T!J?KNLG(?-OcC_0DPSm$5)(5Bxu> MidqV_au#9#1)i=Qn*aa+ literal 0 HcmV?d00001 From 0991a8a051d20c4222953ee46dde9ec890e51c15 Mon Sep 17 00:00:00 2001 From: Zachary Bonagura Date: Mon, 9 Dec 2024 22:00:05 -0500 Subject: [PATCH 5/6] Updated dependencies and formatted code Updated dependencies and formatted code --- Cargo.lock | 118 +++++++++++++++++++++------------------------- aris/src/rules.rs | 97 +++++++++++++------------------------ 2 files changed, 88 insertions(+), 127 deletions(-) diff --git a/Cargo.lock b/Cargo.lock index bf05fd3f..fc5b6388 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -28,9 +28,9 @@ dependencies = [ [[package]] name = "anyhow" -version = "1.0.93" +version = "1.0.94" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "4c95c10ba0b00a02636238b814946408b1322d5ac4760326e6fb8ec956d85775" +checksum = "c1fd03a028ef38ba2276dce7e33fcd6369c158a1bca17946c4b1b701891c1ff7" [[package]] name = "anymap2" @@ -204,9 +204,9 @@ checksum = "1fd0f2584146f6f2ef48085050886acf353beff7305ebd1ae69500e27c67f64b" [[package]] name = "bytes" -version = "1.8.0" +version = "1.9.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "9ac0150caa2ae65ca5bd83f25c7de183dea78d4d366469f148435e2acfbad0da" +checksum = "325918d6fe32f23b19878fe4b34794ae41fc19ddbe53b10571a4874d44ffd39b" [[package]] name = "cbindgen" @@ -335,7 +335,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "13b588ba4ac1a99f7f2964d24b3d896ddc6bf847ee3855dbd4366f058cfcd331" dependencies = [ "quote", - "syn 2.0.89", + "syn 2.0.90", ] [[package]] @@ -359,7 +359,7 @@ dependencies = [ "proc-macro2", "quote", "rustc_version", - "syn 2.0.89", + "syn 2.0.90", ] [[package]] @@ -407,12 +407,12 @@ checksum = "5443807d6dff69373d433ab9ef5378ad8df50ca6298caf15de6e52e24aaf54d5" [[package]] name = "errno" -version = "0.3.9" +version = "0.3.10" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "534c5cf6194dfab3db3242765c03bbe257cf92f22b38f6bc0c58d59108a820ba" +checksum = "33d852cb9b869c2a9b3df2f71a3074817f01e1844f839a144f5fcef059a4eb5d" dependencies = [ "libc", - "windows-sys 0.52.0", + "windows-sys", ] [[package]] @@ -427,9 +427,9 @@ dependencies = [ [[package]] name = "fastrand" -version = "2.2.0" +version = "2.3.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "486f806e73c5707928240ddc295403b1b93c96a02038563881c4a2fd84b81ac4" +checksum = "37909eebbb50d72f9059c3b6d82c0463f2ff062c9e95845c43a6c9c0355411be" [[package]] name = "fixedbitset" @@ -515,7 +515,7 @@ checksum = "162ee34ebcb7c64a8abebc059ce0fee27c2262618d7b60ed8faf72fef13c3650" dependencies = [ "proc-macro2", "quote", - "syn 2.0.89", + "syn 2.0.90", ] [[package]] @@ -849,9 +849,9 @@ dependencies = [ [[package]] name = "indexmap" -version = "2.6.0" +version = "2.7.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "707907fe3c25f5424cce2cb7e1cbcafee6bdbe735ca90ef77c29e84591e5b9da" +checksum = "62f822373a4fe84d4bb149bf54e584a7f4abec90e072ed49cda0edea5b95471f" dependencies = [ "equivalent", "hashbrown 0.15.2", @@ -900,10 +900,11 @@ checksum = "8eaf4bc02d17cbdd7ff4c7438cafcdf7fb9a4613313ad11b4f8fefe7d3fa0130" [[package]] name = "js-sys" -version = "0.3.72" +version = "0.3.76" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "6a88f1bda2bd75b0452a14784937d796722fdebfe50df998aeb3f0b7603019a9" +checksum = "6717b6b5b077764fb5966237269cb3c64edddde4b14ce42647430a78ced9e7b7" dependencies = [ + "once_cell", "wasm-bindgen", ] @@ -921,9 +922,9 @@ checksum = "884e2677b40cc8c339eaefcb701c32ef1fd2493d71118dc0ca4b6a736c93bd67" [[package]] name = "libc" -version = "0.2.166" +version = "0.2.168" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "c2ccc108bbc0b1331bd061864e7cd823c0cab660bbe6970e66e2c0614decde36" +checksum = "5aaeb2981e0606ca11d79718f8bb01164f1d6ed75080182d3abf017e6d244b6d" [[package]] name = "linux-raw-sys" @@ -1127,7 +1128,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "b4c5cc86750666a3ed20bdaf5ca2a0344f9c67674cae0515bec2da16fbaa47db" dependencies = [ "fixedbitset", - "indexmap 2.6.0", + "indexmap 2.7.0", ] [[package]] @@ -1239,7 +1240,7 @@ checksum = "3c0f5fad0874fc7abcd4d750e76917eaebbecaa2c20bde22e1dbeeba8beb758c" dependencies = [ "proc-macro2", "quote", - "syn 2.0.89", + "syn 2.0.90", ] [[package]] @@ -1497,15 +1498,15 @@ dependencies = [ [[package]] name = "rustix" -version = "0.38.41" +version = "0.38.42" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "d7f649912bc1495e167a6edee79151c84b1bad49748cb4f1f1167f459f6224f6" +checksum = "f93dc38ecbab2eb790ff964bb77fa94faf256fd3e73285fd7ba0903b76bedb85" dependencies = [ "bitflags 2.6.0", "errno", "libc", "linux-raw-sys", - "windows-sys 0.52.0", + "windows-sys", ] [[package]] @@ -1605,7 +1606,7 @@ checksum = "ad1e866f866923f252f05c889987993144fb74e722403468a4ebd70c3cd756c0" dependencies = [ "proc-macro2", "quote", - "syn 2.0.89", + "syn 2.0.90", ] [[package]] @@ -1744,9 +1745,9 @@ dependencies = [ [[package]] name = "syn" -version = "2.0.89" +version = "2.0.90" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "44d46482f1c1c87acd84dea20c1bf5ebff4c757009ed6bf19cfd36fb10e92c4e" +checksum = "919d3b74a5dd0ccd15aeb8f93e7006bd9e14c295087c9896a110f490752bcf31" dependencies = [ "proc-macro2", "quote", @@ -1775,7 +1776,7 @@ dependencies = [ "fastrand", "once_cell", "rustix", - "windows-sys 0.59.0", + "windows-sys", ] [[package]] @@ -1827,14 +1828,14 @@ checksum = "4fee6c4efc90059e10f81e6d42c60a18f76588c3d74cb83a0b242a2b6c7504c1" dependencies = [ "proc-macro2", "quote", - "syn 2.0.89", + "syn 2.0.90", ] [[package]] name = "tokio" -version = "1.41.1" +version = "1.42.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "22cfb5bee7a6a52939ca9224d6ac897bb669134078daa8735560897f69de4d33" +checksum = "5cec9b21b0450273377fc97bd4c33a8acffc8c996c987a7c5b319a0083707551" dependencies = [ "backtrace", "pin-project-lite", @@ -1842,9 +1843,9 @@ dependencies = [ [[package]] name = "tokio-stream" -version = "0.1.16" +version = "0.1.17" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "4f4e6ce100d0eb49a2734f8c0812bcd324cf357d21810932c5df6b96ef2b86f1" +checksum = "eca58d7bba4a75707817a2c44174253f9236b2d5fbd055602e9d5c07c139a047" dependencies = [ "futures-core", "pin-project-lite", @@ -1879,7 +1880,7 @@ checksum = "395ae124c09f9e6918a2310af6038fba074bcf474ac352496d5910dd59a2226d" dependencies = [ "proc-macro2", "quote", - "syn 2.0.89", + "syn 2.0.90", ] [[package]] @@ -2053,9 +2054,9 @@ checksum = "9c8d87e72b64a3b4db28d11ce29237c246188f4f51057d65a7eab63b7987e423" [[package]] name = "wasm-bindgen" -version = "0.2.95" +version = "0.2.99" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "128d1e363af62632b8eb57219c8fd7877144af57558fb2ef0368d0087bddeb2e" +checksum = "a474f6281d1d70c17ae7aa6a613c87fce69a127e2624002df63dcb39d6cf6396" dependencies = [ "cfg-if", "once_cell", @@ -2066,36 +2067,36 @@ dependencies = [ [[package]] name = "wasm-bindgen-backend" -version = "0.2.95" +version = "0.2.99" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "cb6dd4d3ca0ddffd1dd1c9c04f94b868c37ff5fac97c30b97cff2d74fce3a358" +checksum = "5f89bb38646b4f81674e8f5c3fb81b562be1fd936d84320f3264486418519c79" dependencies = [ "bumpalo", "log", - "once_cell", "proc-macro2", "quote", - "syn 2.0.89", + "syn 2.0.90", "wasm-bindgen-shared", ] [[package]] name = "wasm-bindgen-futures" -version = "0.4.45" +version = "0.4.49" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "cc7ec4f8827a71586374db3e87abdb5a2bb3a15afed140221307c3ec06b1f63b" +checksum = "38176d9b44ea84e9184eff0bc34cc167ed044f816accfe5922e54d84cf48eca2" dependencies = [ "cfg-if", "js-sys", + "once_cell", "wasm-bindgen", "web-sys", ] [[package]] name = "wasm-bindgen-macro" -version = "0.2.95" +version = "0.2.99" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "e79384be7f8f5a9dd5d7167216f022090cf1f9ec128e6e6a482a2cb5c5422c56" +checksum = "2cc6181fd9a7492eef6fef1f33961e3695e4579b9872a6f7c83aee556666d4fe" dependencies = [ "quote", "wasm-bindgen-macro-support", @@ -2103,28 +2104,28 @@ dependencies = [ [[package]] name = "wasm-bindgen-macro-support" -version = "0.2.95" +version = "0.2.99" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "26c6ab57572f7a24a4985830b120de1594465e5d500f24afe89e16b4e833ef68" +checksum = "30d7a95b763d3c45903ed6c81f156801839e5ee968bb07e534c44df0fcd330c2" dependencies = [ "proc-macro2", "quote", - "syn 2.0.89", + "syn 2.0.90", "wasm-bindgen-backend", "wasm-bindgen-shared", ] [[package]] name = "wasm-bindgen-shared" -version = "0.2.95" +version = "0.2.99" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "65fc09f10666a9f147042251e0dda9c18f166ff7de300607007e96bdebc1068d" +checksum = "943aab3fdaaa029a6e0271b35ea10b72b943135afe9bffca82384098ad0e06a6" [[package]] name = "web-sys" -version = "0.3.72" +version = "0.3.76" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "f6488b90108c040df0fe62fa815cbdee25124641df01814dd7282749234c6112" +checksum = "04dd7223427d52553d3702c004d3b2fe07c148165faa56313cb00211e31c12bc" dependencies = [ "js-sys", "wasm-bindgen", @@ -2152,7 +2153,7 @@ version = "0.1.9" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "cf221c93e13a30d793f7645a0e7762c55d169dbb0a49671918a2319d289b10bb" dependencies = [ - "windows-sys 0.59.0", + "windows-sys", ] [[package]] @@ -2161,15 +2162,6 @@ version = "0.4.0" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "712e227841d057c1ee1cd2fb22fa7e5a5461ae8e48fa2ca79ec42cfc1931183f" -[[package]] -name = "windows-sys" -version = "0.52.0" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "282be5f36a8ce781fad8c8ae18fa3f9beff57ec1b52cb3de0789201425d9a33d" -dependencies = [ - "windows-targets", -] - [[package]] name = "windows-sys" version = "0.59.0" @@ -2245,9 +2237,9 @@ checksum = "589f6da84c646204747d1270a2a5661ea66ed1cced2631d546fdfb155959f9ec" [[package]] name = "xml-rs" -version = "0.8.23" +version = "0.8.24" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "af310deaae937e48a26602b730250b4949e125f468f11e6990be3e5304ddd96f" +checksum = "ea8b391c9a790b496184c29f7f93b9ed5b16abb306c05415b68bcc16e4d06432" [[package]] name = "yew" @@ -2320,5 +2312,5 @@ checksum = "fa4f8080344d4671fb4e831a13ad1e68092748387dfc4f55e356242fae12ce3e" dependencies = [ "proc-macro2", "quote", - "syn 2.0.89", + "syn 2.0.90", ] diff --git a/aris/src/rules.rs b/aris/src/rules.rs index 1b7c65f3..44c6734b 100644 --- a/aris/src/rules.rs +++ b/aris/src/rules.rs @@ -126,7 +126,6 @@ pub enum ConditionalInference { WeakenConsequent, ConIntroNegation, ConElimNegation, - } #[allow(missing_docs)] @@ -322,7 +321,7 @@ pub mod RuleM { [BiconIntroNegation, "BICON_INTRO_NEGATION", (SharedChecks(Inr(Inr(Inr(Inr(Inl(BiconditionalInference::BiconIntroNegation)))))))], [BiconElim, "BICON_ELIM", (SharedChecks(Inr(Inr(Inr(Inr(Inl(BiconditionalInference::BiconElim)))))))], [BiconElimNegation, "BICON_ELIM_NEGATION", (SharedChecks(Inr(Inr(Inr(Inr(Inl(BiconditionalInference::BiconElimNegation)))))))], - + [QuantifierInference, "QUANTIFIER_INFERENCE", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierInference::QuantInference))))))))], [Association, "ASSOCIATION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inl(BooleanEquivalence::Association)))))))))], @@ -368,7 +367,7 @@ pub mod RuleM { [AristoteleanSquare, "ARISTOTELEAN_SQUARE", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierEquivalence::AristoteleanSquare))))))))))))], [QuantifierDistribution, "QUANTIFIER_DISTRIBUTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierEquivalence::QuantifierDistribution))))))))))))], [PrenexLaws, "PRENEX_LAWS", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(QuantifierEquivalence::PrenexLaws))))))))))))], - + [Reiteration, "REITERATION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(Special::Reiteration)))))))))))))], [Resolution, "RESOLUTION", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(Special::Resolution)))))))))))))], [TruthFunctionalConsequence, "TRUTHFUNCTIONAL_CONSEQUENCE", (SharedChecks(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inr(Inl(Special::TruthFunctionalConsequence)))))))))))))], @@ -1100,8 +1099,8 @@ impl RuleT for BooleanInference { Some(0) } fn check(self, proof: &P, conclusion: Expr, deps: Vec>, sdeps: Vec) -> Result<(), ProofCheckError, P::SubproofReference>> { - use ProofCheckError::*; use BooleanInference::*; + use ProofCheckError::*; assert!(sdeps.is_empty()); match self { @@ -1216,7 +1215,7 @@ impl RuleT for ConditionalInference { StrengthenAntecedent => "Strengthening the Antecedent", WeakenConsequent => "Weakening the Consequent", ConIntroNegation => "Conditional Introduction Negation", - ConElimNegation => "Conditional Elimination Negation" + ConElimNegation => "Conditional Elimination Negation", } .into() } @@ -1235,8 +1234,8 @@ impl RuleT for ConditionalInference { Some(0) } fn check(self, proof: &P, conclusion: Expr, deps: Vec>, sdeps: Vec) -> Result<(), ProofCheckError, P::SubproofReference>> { - use ProofCheckError::*; use ConditionalInference::*; + use ProofCheckError::*; assert!(sdeps.is_empty()); match self { @@ -1461,7 +1460,7 @@ impl RuleT for ConditionalInference { } ConIntroNegation => { let premise = proof.lookup_expr_or_die(&deps[0])?; - + if let Expr::Impl { ref left, ref right } = conclusion { // Case 1: Premise: ~P, Conclusion: P -> Q if let Expr::Not { ref operand } = premise { @@ -1469,18 +1468,16 @@ impl RuleT for ConditionalInference { return Ok(()); } } - + // Case 2: Premise: Q, Conclusion: P -> Q if premise == **right && !matches!(**left, Expr::Not { .. }) { return Ok(()); } } - - Err(ProofCheckError::Other( - "Conclusion does not follow from the Conditional Introduction Negation rule.".to_string(), - )) + + Err(ProofCheckError::Other("Conclusion does not follow from the Conditional Introduction Negation rule.".to_string())) } - + ConElimNegation => { let premise = proof.lookup_expr_or_die(&deps[0])?; @@ -1507,7 +1504,7 @@ impl RuleT for ConditionalInference { impl RuleT for BiconditionalInference { fn get_name(&self) -> String { use BiconditionalInference::*; - match self { + match self { BiconIntro => "Biconditional Introduction", BiconIntroNegation => "Biconditional Introduction Negation", BiconElim => "Biconditional Elimination", @@ -1536,7 +1533,7 @@ impl RuleT for BiconditionalInference { BiconIntro => { let prem1 = proof.lookup_expr_or_die(&deps[0])?; let prem2 = proof.lookup_expr_or_die(&deps[1])?; - + either_order( &prem1, &prem2, @@ -1549,78 +1546,52 @@ impl RuleT for BiconditionalInference { } } // Case 2: Both premises are negations (~P and ~Q) - ( - Expr::Not { operand: ref left }, - Expr::Not { operand: ref right }, - ) => { - if conclusion == Expr::assoc(Op::Bicon, &[*left.clone(), *right.clone()]) - || conclusion - == Expr::assoc( - Op::Bicon, - &[Expr::Not { operand: left.clone() }, Expr::Not { operand: right.clone() }], - ) - { + (Expr::Not { operand: ref left }, Expr::Not { operand: ref right }) => { + if conclusion == Expr::assoc(Op::Bicon, &[*left.clone(), *right.clone()]) || conclusion == Expr::assoc(Op::Bicon, &[Expr::Not { operand: left.clone() }, Expr::Not { operand: right.clone() }]) { return AnyOrderResult::Ok; } } _ => {} } - + AnyOrderResult::Err(DoesNotOccur(conclusion.clone(), Expr::assoc_place_holder(Op::Bicon))) }, || DepDoesNotExist(Expr::assoc_place_holder(Op::Bicon), true), ) - }, + } BiconIntroNegation => { let prem1 = proof.lookup_expr_or_die(&deps[0])?; let prem2 = proof.lookup_expr_or_die(&deps[1])?; - + either_order( &prem1, &prem2, |i, j| { match (i, j) { // Case 1: Premises: ~P and Q, Conclusion: ~(P <-> Q) - ( - Expr::Not { operand: ref left }, - Expr::Var { name: ref right }, - ) => { - if conclusion - == (Expr::Not { - operand: Box::new(Expr::assoc(Op::Bicon, &[*left.clone(), Expr::var(right)])), - }) - { + (Expr::Not { operand: ref left }, Expr::Var { name: ref right }) => { + if conclusion == (Expr::Not { operand: Box::new(Expr::assoc(Op::Bicon, &[*left.clone(), Expr::var(right)])) }) { return AnyOrderResult::Ok; } } // Case 2: Premises are P and ~Q, Conclusion: ~(P <-> Q) - ( - Expr::Var { name: ref left }, - Expr::Not { operand: ref right }, - ) => { - if conclusion - == (Expr::Not { - operand: Box::new(Expr::assoc(Op::Bicon, &[Expr::var(left), *right.clone()])), - }) - { + (Expr::Var { name: ref left }, Expr::Not { operand: ref right }) => { + if conclusion == (Expr::Not { operand: Box::new(Expr::assoc(Op::Bicon, &[Expr::var(left), *right.clone()])) }) { return AnyOrderResult::Ok; } } _ => {} } - - AnyOrderResult::Err(DoesNotOccur( - conclusion.clone(), - Expr::not_place_holder(), - )) + + AnyOrderResult::Err(DoesNotOccur(conclusion.clone(), Expr::not_place_holder())) }, || DepDoesNotExist(Expr::not_place_holder(), true), ) - }, + } BiconElim => { let prem1 = proof.lookup_expr_or_die(&deps[0])?; let prem2 = proof.lookup_expr_or_die(&deps[1])?; - + either_order( &prem1, &prem2, @@ -1629,11 +1600,9 @@ impl RuleT for BiconditionalInference { if *op == Op::Bicon && exprs.len() == 2 { let left = &exprs[0]; let right = &exprs[1]; - + if let Expr::Not { ref operand } = j { - if **operand == *left && conclusion == (Expr::Not { operand: Box::new(right.clone()) }) { - return AnyOrderResult::Ok; - } else if **operand == *right && conclusion == (Expr::Not { operand: Box::new(left.clone()) }) { + if (**operand == *left && conclusion == Expr::Not { operand: Box::new(right.clone()) }) || (**operand == *right && conclusion == Expr::Not { operand: Box::new(left.clone()) }) { return AnyOrderResult::Ok; } else { return AnyOrderResult::Err(DoesNotOccur(j.clone(), conclusion.clone())); @@ -1645,11 +1614,11 @@ impl RuleT for BiconditionalInference { }, || DepDoesNotExist(Expr::assoc_place_holder(Op::Bicon), true), ) - }, + } BiconElimNegation => { let prem1 = proof.lookup_expr_or_die(&deps[0])?; let prem2 = proof.lookup_expr_or_die(&deps[1])?; - + either_order( &prem1, &prem2, @@ -1659,7 +1628,7 @@ impl RuleT for BiconditionalInference { if *op == Op::Bicon && exprs.len() == 2 { let left = &exprs[0]; let right = &exprs[1]; - + if *left == *j { if conclusion == (Expr::Not { operand: Box::new(right.clone()) }) { return AnyOrderResult::Ok; @@ -1667,7 +1636,7 @@ impl RuleT for BiconditionalInference { return AnyOrderResult::Err(DoesNotOccur(conclusion.clone(), right.clone())); } } - + if *right == *j { if conclusion == (Expr::Not { operand: Box::new(left.clone()) }) { return AnyOrderResult::Ok; @@ -1765,12 +1734,12 @@ where for premise_expr in premise_possibilities.iter() { for conclusion_expr in conclusion_possibilities.iter() { if premise_expr == conclusion_expr { - return Ok(()); + return Ok(()); } } } - Err(ProofCheckError::Other(format!("None of the possible normalized premises match the conclusion."))) + Err(ProofCheckError::Other("None of the possible normalized premises match the conclusion.".to_string())) } fn check_by_rewrite_rule_confl(p: &P, deps: Vec>, conclusion: Expr, commutative: bool, rule: &RewriteRule, restriction: &str) -> Result<(), ProofCheckError, P::SubproofReference>> { From 72aef566306a1984a82afa8a211e060e52f8ddb9 Mon Sep 17 00:00:00 2001 From: Zachary Bonagura Date: Mon, 9 Dec 2024 23:05:19 -0500 Subject: [PATCH 6/6] Reduced strength for complement Reduced strength for complement so conclusion requires terms that are not identified as complement --- aris/src/expr.rs | 24 +++++++++++++++++------- aris/src/proofs/proof_tests.rs | 5 ++++- 2 files changed, 21 insertions(+), 8 deletions(-) diff --git a/aris/src/expr.rs b/aris/src/expr.rs index 40fddb55..20bc162f 100644 --- a/aris/src/expr.rs +++ b/aris/src/expr.rs @@ -1143,26 +1143,29 @@ impl Expr { } /// Collects unique expressions and identifies complements globally + /// Removes complements from the unique expressions set when found fn collect_unique_exprs_complement(expr: &Expr, op: Op, unique_exprs: &mut HashSet) -> bool { match expr { - Expr::Assoc { op: expr_op, exprs } if *expr_op == op => exprs.iter().any(|sub_expr| Expr::collect_unique_exprs_complement(sub_expr, op, unique_exprs)), + Expr::Assoc { op: expr_op, exprs } if *expr_op == op => exprs.iter().fold(false, |found_complement, sub_expr| Expr::collect_unique_exprs_complement(sub_expr, op, unique_exprs) || found_complement), Expr::Not { operand } => { - // Check if the negation of the operand already exists in the set if let Expr::Quant { kind: QuantKind::Forall, .. } = **operand { if operand.is_universal_tautology() { return true; } } if unique_exprs.contains(&**operand) { - true // Complement found + unique_exprs.remove(&**operand); + true } else { unique_exprs.insert(expr.clone()); false } } _ => { - if unique_exprs.contains(&Expr::Not { operand: Box::new(expr.clone()) }) { - true // Complement found + let negated = Expr::Not { operand: Box::new(expr.clone()) }; + if unique_exprs.contains(&negated) { + unique_exprs.remove(&negated); + true } else { unique_exprs.insert(expr.clone()); false @@ -1174,6 +1177,7 @@ impl Expr { /// Reduce an expression over complement, that is: /// A & ~A -> ⊥ /// A | ~A -> ⊤ + /// Removes complements and preserves non-complement terms pub fn normalize_complement(self) -> Expr { match self { Expr::Assoc { op, exprs } if op == Op::And || op == Op::Or => { @@ -1182,13 +1186,19 @@ impl Expr { if has_complement { match op { - Op::And => Expr::Contra, + Op::And => { + let remaining_terms: Vec = unique_exprs.into_iter().collect(); + if remaining_terms.is_empty() { + Expr::Contra + } else { + Expr::Assoc { op, exprs: vec![Expr::Contra].into_iter().chain(remaining_terms).collect() } + } + } Op::Or => Expr::Taut, _ => unreachable!(), } } else { let unique_exprs: Vec = unique_exprs.into_iter().map(|e| e.normalize_complement()).collect(); - if unique_exprs.len() == 1 { unique_exprs.into_iter().next().unwrap() } else { diff --git a/aris/src/proofs/proof_tests.rs b/aris/src/proofs/proof_tests.rs index 0842d697..8532d448 100644 --- a/aris/src/proofs/proof_tests.rs +++ b/aris/src/proofs/proof_tests.rs @@ -812,6 +812,7 @@ pub fn test_complement() -> (P, Vec>, Vec>) { let r5 = prf.add_premise(p("~(forall A A) | (forall B B)")); let r6 = prf.add_premise(p("~(forall A A) & (forall B B)")); let r19 = prf.add_premise(p("(A -> A) & (B <-> B) & (C <-> ~C) & (~D <-> D)")); + let r32 = prf.add_premise(p("A & ~A & P")); let r7 = prf.add_step(Justification(p("_|_"), RuleM::Complement, vec![i(r1.clone())], vec![])); let r8 = prf.add_step(Justification(p("^|^"), RuleM::Complement, vec![i(r1)], vec![])); @@ -825,6 +826,8 @@ pub fn test_complement() -> (P, Vec>, Vec>) { let r16 = prf.add_step(Justification(p("^|^"), RuleM::Complement, vec![i(r5)], vec![])); let r17 = prf.add_step(Justification(p("_|_"), RuleM::Complement, vec![i(r6.clone())], vec![])); let r18 = prf.add_step(Justification(p("^|^"), RuleM::Complement, vec![i(r6)], vec![])); + let r33 = prf.add_step(Justification(p("_|_ & P"), RuleM::Complement, vec![i(r32.clone())], vec![])); + let r34 = prf.add_step(Justification(p("_|_ & P & X & F"), RuleM::Complement, vec![i(r32)], vec![])); let r20 = prf.add_step(Justification(p("^|^ & ^|^ & _|_ & _|_"), RuleM::ConditionalComplement, vec![i(r19.clone())], vec![])); let r21 = prf.add_step(Justification(p("^|^ & (B <-> B) & (C <-> ~C) & (~D <-> D)"), RuleM::ConditionalComplement, vec![i(r19.clone())], vec![])); @@ -840,7 +843,7 @@ pub fn test_complement() -> (P, Vec>, Vec>) { let r30 = prf.add_step(Justification(p("(A -> A) & (B <-> B) & (C <-> ~C) & _|_"), RuleM::BiconditionalComplement, vec![i(r19.clone())], vec![])); let r31 = prf.add_step(Justification(p("_|_ & _|_ & ^|^ & ^|^"), RuleM::BiconditionalComplement, vec![i(r19)], vec![])); - (prf, vec![i(r7), i(r9), i(r12), i(r14), i(r16), i(r17), i(r21), i(r28), i(r29), i(r30)], vec![i(r8), i(r10), i(r11), i(r13), i(r15), i(r18), i(r20), i(r22), i(r23), i(r24), i(r25), i(r26), i(r27), i(r31)]) + (prf, vec![i(r7), i(r9), i(r12), i(r14), i(r16), i(r17), i(r21), i(r28), i(r29), i(r30), i(r33)], vec![i(r8), i(r10), i(r11), i(r13), i(r15), i(r18), i(r20), i(r22), i(r23), i(r24), i(r25), i(r26), i(r27), i(r31), i(r34)]) } pub fn test_identity() -> (P, Vec>, Vec>) {