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100644 Binary files a/docs/build/.doctrees/inference_rule.doctree and b/docs/build/.doctrees/inference_rule.doctree differ diff --git a/docs/build/_sources/index.rst.txt b/docs/build/_sources/index.rst.txt index 05d43cff..89d3d909 100644 --- a/docs/build/_sources/index.rst.txt +++ b/docs/build/_sources/index.rst.txt @@ -15,12 +15,17 @@ Welcome to punctilious's documentation! absorption bibliography + conjunction_elimination_left + conjunction_elimination_right conjunction_introduction disjunction_introduction_left disjunction_introduction_right + double_negation_elimination double_negation_introduction + elimination_rule inconsistency_by_inequality_introduction inference_rule + introduction_rule is_a meta_object modus_ponens diff --git a/docs/build/_sources/inference_rule.rst.txt b/docs/build/_sources/inference_rule.rst.txt index 4075ef0e..2908b22d 100644 --- a/docs/build/_sources/inference_rule.rst.txt +++ b/docs/build/_sources/inference_rule.rst.txt @@ -21,7 +21,8 @@ List of 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action "${this.action}"`,o)}}willBeInvokedByEvent(e){const t=e.target;return!(e instanceof KeyboardEvent&&this.action.isFilterTarget(e))&&(this.element===t||(t instanceof Element&&this.element.contains(t)?this.scope.containsElement(t):this.scope.containsElement(this.action.element)))}get controller(){return this.context.controller}get methodName(){return this.action.methodName}get element(){return this.scope.element}get scope(){return this.context.scope}}class f{constructor(e,t){this.mutationObserverInit={attributes:!0,childList:!0,subtree:!0},this.element=e,this.started=!1,this.delegate=t,this.elements=new Set,this.mutationObserver=new MutationObserver((e=>this.processMutations(e)))}start(){this.started||(this.started=!0,this.mutationObserver.observe(this.element,this.mutationObserverInit),this.refresh())}pause(e){this.started&&(this.mutationObserver.disconnect(),this.started=!1),e(),this.started||(this.mutationObserver.observe(this.element,this.mutationObserverInit),this.started=!0)}stop(){this.started&&(this.mutationObserver.takeRecords(),this.mutationObserver.disconnect(),this.started=!1)}refresh(){if(this.started){const e=new Set(this.matchElementsInTree());for(const t of Array.from(this.elements))e.has(t)||this.removeElement(t);for(const t of Array.from(e))this.addElement(t)}}processMutations(e){if(this.started)for(const t of e)this.processMutation(t)}processMutation(e){"attributes"==e.type?this.processAttributeChange(e.target,e.attributeName):"childList"==e.type&&(this.processRemovedNodes(e.removedNodes),this.processAddedNodes(e.addedNodes))}processAttributeChange(e,t){const r=e;this.elements.has(r)?this.delegate.elementAttributeChanged&&this.matchElement(r)?this.delegate.elementAttributeChanged(r,t):this.removeElement(r):this.matchElement(r)&&this.addElement(r)}processRemovedNodes(e){for(const t of Array.from(e)){const e=this.elementFromNode(t);e&&this.processTree(e,this.removeElement)}}processAddedNodes(e){for(const t of Array.from(e)){const e=this.elementFromNode(t);e&&this.elementIsActive(e)&&this.processTree(e,this.addElement)}}matchElement(e){return this.delegate.matchElement(e)}matchElementsInTree(e=this.element){return this.delegate.matchElementsInTree(e)}processTree(e,t){for(const r of this.matchElementsInTree(e))t.call(this,r)}elementFromNode(e){if(e.nodeType==Node.ELEMENT_NODE)return e}elementIsActive(e){return e.isConnected==this.element.isConnected&&this.element.contains(e)}addElement(e){this.elements.has(e)||this.elementIsActive(e)&&(this.elements.add(e),this.delegate.elementMatched&&this.delegate.elementMatched(e))}removeElement(e){this.elements.has(e)&&(this.elements.delete(e),this.delegate.elementUnmatched&&this.delegate.elementUnmatched(e))}}class v{constructor(e,t,r){this.attributeName=t,this.delegate=r,this.elementObserver=new f(e,this)}get element(){return this.elementObserver.element}get selector(){return`[${this.attributeName}]`}start(){this.elementObserver.start()}pause(e){this.elementObserver.pause(e)}stop(){this.elementObserver.stop()}refresh(){this.elementObserver.refresh()}get started(){return this.elementObserver.started}matchElement(e){return e.hasAttribute(this.attributeName)}matchElementsInTree(e){const t=this.matchElement(e)?[e]:[],r=Array.from(e.querySelectorAll(this.selector));return t.concat(r)}elementMatched(e){this.delegate.elementMatchedAttribute&&this.delegate.elementMatchedAttribute(e,this.attributeName)}elementUnmatched(e){this.delegate.elementUnmatchedAttribute&&this.delegate.elementUnmatchedAttribute(e,this.attributeName)}elementAttributeChanged(e,t){this.delegate.elementAttributeValueChanged&&this.attributeName==t&&this.delegate.elementAttributeValueChanged(e,t)}}function y(e,t){let r=e.get(t);return r||(r=new Set,e.set(t,r)),r}class b{constructor(){this.valuesByKey=new Map}get keys(){return Array.from(this.valuesByKey.keys())}get values(){return Array.from(this.valuesByKey.values()).reduce(((e,t)=>e.concat(Array.from(t))),[])}get size(){return Array.from(this.valuesByKey.values()).reduce(((e,t)=>e+t.size),0)}add(e,t){!function(e,t,r){y(e,t).add(r)}(this.valuesByKey,e,t)}delete(e,t){!function(e,t,r){y(e,t).delete(r),function(e,t){const r=e.get(t);null!=r&&0==r.size&&e.delete(t)}(e,t)}(this.valuesByKey,e,t)}has(e,t){const r=this.valuesByKey.get(e);return null!=r&&r.has(t)}hasKey(e){return this.valuesByKey.has(e)}hasValue(e){return Array.from(this.valuesByKey.values()).some((t=>t.has(e)))}getValuesForKey(e){const t=this.valuesByKey.get(e);return t?Array.from(t):[]}getKeysForValue(e){return Array.from(this.valuesByKey).filter((([t,r])=>r.has(e))).map((([e,t])=>e))}}class E{constructor(e,t,r,n={}){this.selector=t,this.details=n,this.elementObserver=new f(e,this),this.delegate=r,this.matchesByElement=new b}get started(){return this.elementObserver.started}start(){this.elementObserver.start()}pause(e){this.elementObserver.pause(e)}stop(){this.elementObserver.stop()}refresh(){this.elementObserver.refresh()}get element(){return this.elementObserver.element}matchElement(e){const t=e.matches(this.selector);return this.delegate.selectorMatchElement?t&&this.delegate.selectorMatchElement(e,this.details):t}matchElementsInTree(e){const t=this.matchElement(e)?[e]:[],r=Array.from(e.querySelectorAll(this.selector)).filter((e=>this.matchElement(e)));return t.concat(r)}elementMatched(e){this.selectorMatched(e)}elementUnmatched(e){this.selectorUnmatched(e)}elementAttributeChanged(e,t){const r=this.matchElement(e),n=this.matchesByElement.has(this.selector,e);!r&&n&&this.selectorUnmatched(e)}selectorMatched(e){this.delegate.selectorMatched&&(this.delegate.selectorMatched(e,this.selector,this.details),this.matchesByElement.add(this.selector,e))}selectorUnmatched(e){this.delegate.selectorUnmatched(e,this.selector,this.details),this.matchesByElement.delete(this.selector,e)}}class w{constructor(e,t){this.element=e,this.delegate=t,this.started=!1,this.stringMap=new Map,this.mutationObserver=new MutationObserver((e=>this.processMutations(e)))}start(){this.started||(this.started=!0,this.mutationObserver.observe(this.element,{attributes:!0,attributeOldValue:!0}),this.refresh())}stop(){this.started&&(this.mutationObserver.takeRecords(),this.mutationObserver.disconnect(),this.started=!1)}refresh(){if(this.started)for(const e of this.knownAttributeNames)this.refreshAttribute(e,null)}processMutations(e){if(this.started)for(const t of e)this.processMutation(t)}processMutation(e){const t=e.attributeName;t&&this.refreshAttribute(t,e.oldValue)}refreshAttribute(e,t){const r=this.delegate.getStringMapKeyForAttribute(e);if(null!=r){this.stringMap.has(e)||this.stringMapKeyAdded(r,e);const n=this.element.getAttribute(e);if(this.stringMap.get(e)!=n&&this.stringMapValueChanged(n,r,t),null==n){const t=this.stringMap.get(e);this.stringMap.delete(e),t&&this.stringMapKeyRemoved(r,e,t)}else this.stringMap.set(e,n)}}stringMapKeyAdded(e,t){this.delegate.stringMapKeyAdded&&this.delegate.stringMapKeyAdded(e,t)}stringMapValueChanged(e,t,r){this.delegate.stringMapValueChanged&&this.delegate.stringMapValueChanged(e,t,r)}stringMapKeyRemoved(e,t,r){this.delegate.stringMapKeyRemoved&&this.delegate.stringMapKeyRemoved(e,t,r)}get knownAttributeNames(){return Array.from(new Set(this.currentAttributeNames.concat(this.recordedAttributeNames)))}get currentAttributeNames(){return Array.from(this.element.attributes).map((e=>e.name))}get recordedAttributeNames(){return Array.from(this.stringMap.keys())}}class A{constructor(e,t,r){this.attributeObserver=new v(e,t,this),this.delegate=r,this.tokensByElement=new b}get started(){return this.attributeObserver.started}start(){this.attributeObserver.start()}pause(e){this.attributeObserver.pause(e)}stop(){this.attributeObserver.stop()}refresh(){this.attributeObserver.refresh()}get element(){return this.attributeObserver.element}get attributeName(){return this.attributeObserver.attributeName}elementMatchedAttribute(e){this.tokensMatched(this.readTokensForElement(e))}elementAttributeValueChanged(e){const[t,r]=this.refreshTokensForElement(e);this.tokensUnmatched(t),this.tokensMatched(r)}elementUnmatchedAttribute(e){this.tokensUnmatched(this.tokensByElement.getValuesForKey(e))}tokensMatched(e){e.forEach((e=>this.tokenMatched(e)))}tokensUnmatched(e){e.forEach((e=>this.tokenUnmatched(e)))}tokenMatched(e){this.delegate.tokenMatched(e),this.tokensByElement.add(e.element,e)}tokenUnmatched(e){this.delegate.tokenUnmatched(e),this.tokensByElement.delete(e.element,e)}refreshTokensForElement(e){const t=this.tokensByElement.getValuesForKey(e),r=this.readTokensForElement(e),n=function(e,t){const r=Math.max(e.length,t.length);return Array.from({length:r},((r,n)=>[e[n],t[n]]))}(t,r).findIndex((([e,t])=>{return n=t,!((r=e)&&n&&r.index==n.index&&r.content==n.content);var r,n}));return-1==n?[[],[]]:[t.slice(n),r.slice(n)]}readTokensForElement(e){const t=this.attributeName;return function(e,t,r){return e.trim().split(/\s+/).filter((e=>e.length)).map(((e,n)=>({element:t,attributeName:r,content:e,index:n})))}(e.getAttribute(t)||"",e,t)}}class O{constructor(e,t,r){this.tokenListObserver=new A(e,t,this),this.delegate=r,this.parseResultsByToken=new WeakMap,this.valuesByTokenByElement=new WeakMap}get started(){return this.tokenListObserver.started}start(){this.tokenListObserver.start()}stop(){this.tokenListObserver.stop()}refresh(){this.tokenListObserver.refresh()}get element(){return this.tokenListObserver.element}get attributeName(){return this.tokenListObserver.attributeName}tokenMatched(e){const{element:t}=e,{value:r}=this.fetchParseResultForToken(e);r&&(this.fetchValuesByTokenForElement(t).set(e,r),this.delegate.elementMatchedValue(t,r))}tokenUnmatched(e){const{element:t}=e,{value:r}=this.fetchParseResultForToken(e);r&&(this.fetchValuesByTokenForElement(t).delete(e),this.delegate.elementUnmatchedValue(t,r))}fetchParseResultForToken(e){let t=this.parseResultsByToken.get(e);return t||(t=this.parseToken(e),this.parseResultsByToken.set(e,t)),t}fetchValuesByTokenForElement(e){let t=this.valuesByTokenByElement.get(e);return t||(t=new Map,this.valuesByTokenByElement.set(e,t)),t}parseToken(e){try{return{value:this.delegate.parseValueForToken(e)}}catch(e){return{error:e}}}}class k{constructor(e,t){this.context=e,this.delegate=t,this.bindingsByAction=new Map}start(){this.valueListObserver||(this.valueListObserver=new O(this.element,this.actionAttribute,this),this.valueListObserver.start())}stop(){this.valueListObserver&&(this.valueListObserver.stop(),delete this.valueListObserver,this.disconnectAllActions())}get element(){return this.context.element}get identifier(){return this.context.identifier}get actionAttribute(){return this.schema.actionAttribute}get schema(){return this.context.schema}get bindings(){return Array.from(this.bindingsByAction.values())}connectAction(e){const t=new g(this.context,e);this.bindingsByAction.set(e,t),this.delegate.bindingConnected(t)}disconnectAction(e){const t=this.bindingsByAction.get(e);t&&(this.bindingsByAction.delete(e),this.delegate.bindingDisconnected(t))}disconnectAllActions(){this.bindings.forEach((e=>this.delegate.bindingDisconnected(e,!0))),this.bindingsByAction.clear()}parseValueForToken(e){const t=u.forToken(e,this.schema);if(t.identifier==this.identifier)return t}elementMatchedValue(e,t){this.connectAction(t)}elementUnmatchedValue(e,t){this.disconnectAction(t)}}class T{constructor(e,t){this.context=e,this.receiver=t,this.stringMapObserver=new w(this.element,this),this.valueDescriptorMap=this.controller.valueDescriptorMap}start(){this.stringMapObserver.start(),this.invokeChangedCallbacksForDefaultValues()}stop(){this.stringMapObserver.stop()}get element(){return this.context.element}get controller(){return this.context.controller}getStringMapKeyForAttribute(e){if(e in this.valueDescriptorMap)return this.valueDescriptorMap[e].name}stringMapKeyAdded(e,t){const r=this.valueDescriptorMap[t];this.hasValue(e)||this.invokeChangedCallback(e,r.writer(this.receiver[e]),r.writer(r.defaultValue))}stringMapValueChanged(e,t,r){const n=this.valueDescriptorNameMap[t];null!==e&&(null===r&&(r=n.writer(n.defaultValue)),this.invokeChangedCallback(t,e,r))}stringMapKeyRemoved(e,t,r){const n=this.valueDescriptorNameMap[e];this.hasValue(e)?this.invokeChangedCallback(e,n.writer(this.receiver[e]),r):this.invokeChangedCallback(e,n.writer(n.defaultValue),r)}invokeChangedCallbacksForDefaultValues(){for(const{key:e,name:t,defaultValue:r,writer:n}of this.valueDescriptors)null==r||this.controller.data.has(e)||this.invokeChangedCallback(t,n(r),void 0)}invokeChangedCallback(e,t,r){const n=`${e}Changed`,s=this.receiver[n];if("function"==typeof s){const n=this.valueDescriptorNameMap[e];try{const e=n.reader(t);let i=r;r&&(i=n.reader(r)),s.call(this.receiver,e,i)}catch(e){throw e instanceof TypeError&&(e.message=`Stimulus Value "${this.context.identifier}.${n.name}" - ${e.message}`),e}}}get valueDescriptors(){const{valueDescriptorMap:e}=this;return Object.keys(e).map((t=>e[t]))}get valueDescriptorNameMap(){const e={};return Object.keys(this.valueDescriptorMap).forEach((t=>{const r=this.valueDescriptorMap[t];e[r.name]=r})),e}hasValue(e){const t=`has${l(this.valueDescriptorNameMap[e].name)}`;return this.receiver[t]}}class M{constructor(e,t){this.context=e,this.delegate=t,this.targetsByName=new b}start(){this.tokenListObserver||(this.tokenListObserver=new A(this.element,this.attributeName,this),this.tokenListObserver.start())}stop(){this.tokenListObserver&&(this.disconnectAllTargets(),this.tokenListObserver.stop(),delete this.tokenListObserver)}tokenMatched({element:e,content:t}){this.scope.containsElement(e)&&this.connectTarget(e,t)}tokenUnmatched({element:e,content:t}){this.disconnectTarget(e,t)}connectTarget(e,t){var r;this.targetsByName.has(t,e)||(this.targetsByName.add(t,e),null===(r=this.tokenListObserver)||void 0===r||r.pause((()=>this.delegate.targetConnected(e,t))))}disconnectTarget(e,t){var r;this.targetsByName.has(t,e)&&(this.targetsByName.delete(t,e),null===(r=this.tokenListObserver)||void 0===r||r.pause((()=>this.delegate.targetDisconnected(e,t))))}disconnectAllTargets(){for(const e of this.targetsByName.keys)for(const t of this.targetsByName.getValuesForKey(e))this.disconnectTarget(t,e)}get attributeName(){return`data-${this.context.identifier}-target`}get element(){return this.context.element}get scope(){return this.context.scope}}function x(e,t){const r=S(e);return Array.from(r.reduce(((e,r)=>(function(e,t){const r=e[t];return Array.isArray(r)?r:[]}(r,t).forEach((t=>e.add(t))),e)),new Set))}function S(e){const t=[];for(;e;)t.push(e),e=Object.getPrototypeOf(e);return t.reverse()}class N{constructor(e,t){this.context=e,this.delegate=t,this.outletsByName=new b,this.outletElementsByName=new b,this.selectorObserverMap=new Map}start(){0===this.selectorObserverMap.size&&(this.outletDefinitions.forEach((e=>{const t=this.selector(e),r={outletName:e};t&&this.selectorObserverMap.set(e,new E(document.body,t,this,r))})),this.selectorObserverMap.forEach((e=>e.start()))),this.dependentContexts.forEach((e=>e.refresh()))}stop(){this.selectorObserverMap.size>0&&(this.disconnectAllOutlets(),this.selectorObserverMap.forEach((e=>e.stop())),this.selectorObserverMap.clear())}refresh(){this.selectorObserverMap.forEach((e=>e.refresh()))}selectorMatched(e,t,{outletName:r}){const n=this.getOutlet(e,r);n&&this.connectOutlet(n,e,r)}selectorUnmatched(e,t,{outletName:r}){const n=this.getOutletFromMap(e,r);n&&this.disconnectOutlet(n,e,r)}selectorMatchElement(e,{outletName:t}){return this.hasOutlet(e,t)&&e.matches(`[${this.context.application.schema.controllerAttribute}~=${t}]`)}connectOutlet(e,t,r){var n;this.outletElementsByName.has(r,t)||(this.outletsByName.add(r,e),this.outletElementsByName.add(r,t),null===(n=this.selectorObserverMap.get(r))||void 0===n||n.pause((()=>this.delegate.outletConnected(e,t,r))))}disconnectOutlet(e,t,r){var n;this.outletElementsByName.has(r,t)&&(this.outletsByName.delete(r,e),this.outletElementsByName.delete(r,t),null===(n=this.selectorObserverMap.get(r))||void 0===n||n.pause((()=>this.delegate.outletDisconnected(e,t,r))))}disconnectAllOutlets(){for(const e of this.outletElementsByName.keys)for(const t of this.outletElementsByName.getValuesForKey(e))for(const r of this.outletsByName.getValuesForKey(e))this.disconnectOutlet(r,t,e)}selector(e){return this.scope.outlets.getSelectorForOutletName(e)}get outletDependencies(){const e=new b;return this.router.modules.forEach((t=>{x(t.definition.controllerConstructor,"outlets").forEach((r=>e.add(r,t.identifier)))})),e}get outletDefinitions(){return this.outletDependencies.getKeysForValue(this.identifier)}get dependentControllerIdentifiers(){return this.outletDependencies.getValuesForKey(this.identifier)}get dependentContexts(){const e=this.dependentControllerIdentifiers;return this.router.contexts.filter((t=>e.includes(t.identifier)))}hasOutlet(e,t){return!!this.getOutlet(e,t)||!!this.getOutletFromMap(e,t)}getOutlet(e,t){return this.application.getControllerForElementAndIdentifier(e,t)}getOutletFromMap(e,t){return this.outletsByName.getValuesForKey(t).find((t=>t.element===e))}get scope(){return this.context.scope}get identifier(){return this.context.identifier}get application(){return this.context.application}get router(){return this.application.router}}class C{constructor(e,t){this.logDebugActivity=(e,t={})=>{const{identifier:r,controller:n,element:s}=this;t=Object.assign({identifier:r,controller:n,element:s},t),this.application.logDebugActivity(this.identifier,e,t)},this.module=e,this.scope=t,this.controller=new e.controllerConstructor(this),this.bindingObserver=new k(this,this.dispatcher),this.valueObserver=new T(this,this.controller),this.targetObserver=new M(this,this),this.outletObserver=new N(this,this);try{this.controller.initialize(),this.logDebugActivity("initialize")}catch(e){this.handleError(e,"initializing controller")}}connect(){this.bindingObserver.start(),this.valueObserver.start(),this.targetObserver.start(),this.outletObserver.start();try{this.controller.connect(),this.logDebugActivity("connect")}catch(e){this.handleError(e,"connecting controller")}}refresh(){this.outletObserver.refresh()}disconnect(){try{this.controller.disconnect(),this.logDebugActivity("disconnect")}catch(e){this.handleError(e,"disconnecting controller")}this.outletObserver.stop(),this.targetObserver.stop(),this.valueObserver.stop(),this.bindingObserver.stop()}get application(){return this.module.application}get identifier(){return this.module.identifier}get schema(){return this.application.schema}get dispatcher(){return this.application.dispatcher}get element(){return this.scope.element}get parentElement(){return this.element.parentElement}handleError(e,t,r={}){const{identifier:n,controller:s,element:i}=this;r=Object.assign({identifier:n,controller:s,element:i},r),this.application.handleError(e,`Error ${t}`,r)}targetConnected(e,t){this.invokeControllerMethod(`${t}TargetConnected`,e)}targetDisconnected(e,t){this.invokeControllerMethod(`${t}TargetDisconnected`,e)}outletConnected(e,t,r){this.invokeControllerMethod(`${c(r)}OutletConnected`,e,t)}outletDisconnected(e,t,r){this.invokeControllerMethod(`${c(r)}OutletDisconnected`,e,t)}invokeControllerMethod(e,...t){const r=this.controller;"function"==typeof r[e]&&r[e](...t)}}const F="function"==typeof Object.getOwnPropertySymbols?e=>[...Object.getOwnPropertyNames(e),...Object.getOwnPropertySymbols(e)]:Object.getOwnPropertyNames,L=(()=>{function e(e){function t(){return Reflect.construct(e,arguments,new.target)}return t.prototype=Object.create(e.prototype,{constructor:{value:t}}),Reflect.setPrototypeOf(t,e),t}try{return function(){const t=e((function(){this.a.call(this)}));t.prototype.a=function(){},new t}(),e}catch(e){return e=>class extends e{}}})();class B{constructor(e,t){this.application=e,this.definition=function(e){return{identifier:e.identifier,controllerConstructor:(t=e.controllerConstructor,function(e,t){const r=L(e),n=function(e,t){return F(t).reduce(((r,n)=>{const s=function(e,t,r){const n=Object.getOwnPropertyDescriptor(e,r);if(!n||!("value"in n)){const e=Object.getOwnPropertyDescriptor(t,r).value;return n&&(e.get=n.get||e.get,e.set=n.set||e.set),e}}(e,t,n);return s&&Object.assign(r,{[n]:s}),r}),{})}(e.prototype,t);return Object.defineProperties(r.prototype,n),r}(t,function(e){return x(e,"blessings").reduce(((t,r)=>{const n=r(e);for(const e in n){const r=t[e]||{};t[e]=Object.assign(r,n[e])}return t}),{})}(t)))};var t}(t),this.contextsByScope=new WeakMap,this.connectedContexts=new Set}get identifier(){return this.definition.identifier}get controllerConstructor(){return this.definition.controllerConstructor}get contexts(){return Array.from(this.connectedContexts)}connectContextForScope(e){const t=this.fetchContextForScope(e);this.connectedContexts.add(t),t.connect()}disconnectContextForScope(e){const t=this.contextsByScope.get(e);t&&(this.connectedContexts.delete(t),t.disconnect())}fetchContextForScope(e){let t=this.contextsByScope.get(e);return t||(t=new C(this,e),this.contextsByScope.set(e,t)),t}}class ${constructor(e){this.scope=e}has(e){return this.data.has(this.getDataKey(e))}get(e){return this.getAll(e)[0]}getAll(e){return(this.data.get(this.getDataKey(e))||"").match(/[^\s]+/g)||[]}getAttributeName(e){return this.data.getAttributeNameForKey(this.getDataKey(e))}getDataKey(e){return`${e}-class`}get data(){return this.scope.data}}class j{constructor(e){this.scope=e}get element(){return this.scope.element}get identifier(){return this.scope.identifier}get(e){const t=this.getAttributeNameForKey(e);return this.element.getAttribute(t)}set(e,t){const 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81/var(--tw-bg-opacity))}.focus\:bg-gray-950:focus{--tw-bg-opacity:1;background-color:#030712;background-color:rgb(3 7 18/var(--tw-bg-opacity))}.focus\:text-brand:focus{color:#0ea5e9;color:var(--color-brand)}.focus\:text-gray-dark:focus{color:#212121;color:var(--color-gray-dark)}.focus\:underline:focus{text-decoration-line:underline}.focus\:opacity-100:focus{opacity:1}.focus\:outline-none:focus{outline:2px solid transparent;outline-offset:2px}@media (min-width:640px){.sm\:px-4{padding-left:1rem;padding-right:1rem}}@media (min-width:768px){.md\:mx-auto{margin-left:auto;margin-right:auto}.md\:ml-4{margin-left:1rem}.md\:w-auto{width:auto}.md\:focus-within\:static:focus-within{position:static}.md\:focus-within\:w-full:focus-within{width:100%}}@media (min-width:1024px){.lg\:inline-block{display:inline-block}}@media (min-width:1280px){.xl\:relative{position:relative}.xl\:z-0{z-index:0}.xl\:ml-fluid{margin-left:7.5vw;margin-left:var(--fluid-margin)}.xl\:mr-0{margin-right:0}.xl\:grid{display:grid}.xl\:hidden{display:none}.xl\:h-screen{height:100vh}.xl\:translate-x-0{--tw-translate-x:0px;transform:translateY(var(--tw-translate-y)) rotate(var(--tw-rotate)) skewX(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y));transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skewX(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.xl\:px-2{padding-left:.5rem;padding-right:.5rem}.xl\:opacity-100{opacity:1}.xl\:grid-layout{grid-template-areas:"header header" "sidebar main";grid-template-columns:max(300px,17%) 1fr;grid-template-columns:max(var(--sidebar-width),17%) 1fr;grid-template-rows:min-content 1fr}}@media print{.print\:mt-4{margin-top:1rem}.print\:block{display:block}.print\:hidden{display:none}.print\:h-auto{height:auto}} +@font-face{font-display:swap;font-family:Roboto;font-style:normal;font-weight:400;src:url(b009a76ad6afe4ebd301.woff2) format("woff2"),url(f1e2a76794cb86b2aa8e.woff) format("woff")} +@font-face{font-display:swap;font-family:Roboto;font-style:italic;font-weight:400;src:url(e10742dbb1d4a0864ba8.woff2) format("woff2"),url(d037cb4792991826de7d.woff) format("woff")} +@font-face{font-display:swap;font-family:Roboto;font-style:normal;font-weight:500;src:url(f25d774ecfe0996f8eb5.woff2) format("woff2"),url(48af7707fe9e6494d6a5.woff) format("woff")} +@font-face{font-display:swap;font-family:Roboto;font-style:italic;font-weight:500;src:url(3a43b67e5bbdfb3ab0a6.woff2) format("woff2"),url(9ac5da2442b734abc516.woff) format("woff")} +@font-face{font-display:swap;font-family:JetBrains Mono;font-style:normal;font-weight:400;src:url(d0b41bd1d599bc0a52b7.woff2) format("woff2"),url(6f04107ce68d524ebe69.woff) format("woff")} +@font-face{font-display:swap;font-family:JetBrains Mono;font-style:italic;font-weight:400;src:url(ff058b7e238adc5cba09.woff2) format("woff2"),url(ad463ea60cc8b68792f4.woff) format("woff")} +@font-face{font-display:swap;font-family:JetBrains Mono;font-style:normal;font-weight:500;src:url(ec416b97881f4a422686.woff2) format("woff2"),url(46830c334f8112fa510a.woff) format("woff")} +@font-face{font-display:swap;font-family:JetBrains Mono;font-style:italic;font-weight:500;src:url(31f64b9c465158bd6066.woff2) format("woff2"),url(09be83022f2ac2ce16b0.woff) format("woff")} +@font-face{font-display:swap;font-family:JetBrains Mono;font-style:normal;font-weight:700;src:url(cfdd43ce3499ca7f900a.woff2) format("woff2"),url(44fd0da18fe361a5cc7f.woff) format("woff")} +@font-face{font-display:swap;font-family:JetBrains Mono;font-style:italic;font-weight:700;src:url(c3b5f43fe4c8f3f1fa21.woff2) format("woff2"),url(0ffeb7a552b36437b54c.woff) format("woff")} diff --git a/docs/build/absorption.html b/docs/build/absorption.html index 95eaead8..685d41e2 100644 --- a/docs/build/absorption.html +++ b/docs/build/absorption.html @@ -1,62 +1,224 @@ - - - - - - - - absorption — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - - -
-
-
- + -
- -
-

absorption

+ + + + + +absorption | punctilious 1.0.0 documentation + + + + + + + + + +
+Skip to content +
+
+ +
+ + +
+
+
+ +
+
+
+

absorption

-

Definition

+

Definition

absorption is the well-known and valid inference-rule in propositional-logic:

\[\left(P \implies Q\right) \vdash \left(P \implies P \land Q\right)\]
-

Python implementation

+

Python implementation

-

AbsorptionDeclaration

+

AbsorptionDeclaration

-class core.AbsorptionDeclaration(universe_of_discourse, echo=None)
+class core.AbsorptionDeclaration(universe_of_discourse, echo=None)

The declaration of the absorption inference-rule in a universe-of-discourse.

-__init__(universe_of_discourse, echo=None)
+__init__(universe_of_discourse, echo=None)
-
-compose_paragraph_proof(o)
+compose_paragraph_proof(o)

This method should be overridden by specialized inference-rule classes to provide accurate proofs.

Return type:
@@ -64,10 +226,9 @@

AbsorptionDeclaration

-
-infer_formula(p_implies_q=None, t=None, echo=None)
+infer_formula(p_implies_q=None, t=None, echo=None)
Parameters:
    @@ -80,10 +241,9 @@

    AbsorptionDeclaration

-
-verify_args(p_implies_q=None, t=None)
+verify_args(p_implies_q=None, t=None)

Verify the syntactical-compatibility of input statements and return True if they are compatible, False otherwise.

@@ -92,25 +252,22 @@

AbsorptionDeclaration

-
-
-

AbsorptionInclusion

+

AbsorptionInclusion

-class core.AbsorptionInclusion(t, echo=None, proof=None)
+class core.AbsorptionInclusion(t, echo=None, proof=None)

The inclusion of absorption as a valid inference-rule in a theory-elaboration-sequence.

-__init__(t, echo=None, proof=None)
+__init__(t, echo=None, proof=None)

Include (aka allow) an inference-rule in a theory-elaboration.

-
-infer_formula(p_implies_q=None, echo=None)
+infer_formula(p_implies_q=None, echo=None)

Apply the absorption inference-rule and return the inferred-formula.

Parameters:
@@ -121,10 +278,9 @@

AbsorptionInclusion
-infer_statement(p_implies_q=None, nameset=None, ref=None, paragraph_header=None, subtitle=None, echo=None)
+infer_statement(p_implies_q=None, nameset=None, ref=None, paragraph_header=None, subtitle=None, echo=None)

Apply the absorption inference-rule and return the inferred-statement.

Parameters:
@@ -135,102 +291,28 @@

AbsorptionInclusion -

Bibliography

+

Bibliography

- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - + + + + + + \ No newline at end of file diff --git a/docs/build/absorption_declaration_python_class.html b/docs/build/absorption_declaration_python_class.html index 7982fb1e..90c9640f 100644 --- a/docs/build/absorption_declaration_python_class.html +++ b/docs/build/absorption_declaration_python_class.html @@ -1,119 +1,83 @@ - - - - - AbsorptionDeclaration (python class) — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - -
-
-
- - -
- -
-

AbsorptionDeclaration (python class)

+ + + +AbsorptionDeclaration (python class) — punctilious 1.0.0 documentation + + + + + + + + + + + + +
+
+
+
+
+

AbsorptionDeclaration (python class)

-class core.AbsorptionDeclaration(universe_of_discourse: UniverseOfDiscourse, echo: None, bool = None)
+class core.AbsorptionDeclaration(universe_of_discourse: UniverseOfDiscourse, echo: None, bool = None)

The declaration of the absorption inference-rule in a universe-of-discourse.

-
- - -
- -
-
- +
+ -
- ©2023, David Doret. +
+
+
+
+
+ ©2023, David Doret. | Powered by Sphinx 7.1.2 & Alabaster 0.7.13 | - Page source -
- - - - - + Page source +
+ \ No newline at end of file diff --git a/docs/build/absorption_inclusion_python_class.html b/docs/build/absorption_inclusion_python_class.html index 3a3d2452..58fb6acb 100644 --- a/docs/build/absorption_inclusion_python_class.html +++ b/docs/build/absorption_inclusion_python_class.html @@ -1,122 +1,86 @@ - - - - - AbsorptionInclusion (python class) — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - -
-
-
- - -
- -
-

AbsorptionInclusion (python class)

+ + + +AbsorptionInclusion (python class) — punctilious 1.0.0 documentation + + + + + + + + + + + + +
+
+
+
+
+

AbsorptionInclusion (python class)

-class core.AbsorptionInclusion(t: TheoryElaborationSequence, echo: None, bool = None, proof: None, bool = None)
+class core.AbsorptionInclusion(t: TheoryElaborationSequence, echo: None, bool = None, proof: None, bool = None)

Note: designing a specialized inclusion class is superfluous because InferenceRuleInclusion is sufficient to do the job. But the advantage of specializing this class is to provide user-friendly type hints and method parameters documentation for that particular inference-rule. This may be justified for well-known inference-rules.

-
- - -
- -
-
- +
+ -
- ©2023, David Doret. +
+
+
+
+
+ ©2023, David Doret. | Powered by Sphinx 7.1.2 & Alabaster 0.7.13 | - Page source -
- - - - - + Page source +
+ \ No newline at end of file diff --git a/docs/build/absorption_math_object.html b/docs/build/absorption_math_object.html index e5e92c05..f7ba3ef1 100644 --- a/docs/build/absorption_math_object.html +++ b/docs/build/absorption_math_object.html @@ -1,132 +1,97 @@ - - - - - absorption (inference-rule) — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - - -
-
-
- - -
- -
-

absorption (inference-rule)

+ + + +absorption (inference-rule) — punctilious 1.0.0 documentation + + + + + + + + + + + + + +
+
+
+
+
+

absorption (inference-rule)

-

Definition

+

Definition

absorption is the well-known and valid inference-rule (mathematical object) in propositional-logic:

\[\left(P \implies Q\right) \vdash \left(P \implies P \land Q\right)\]
-

Python implementation

+

Python implementation

-

Bibliography

+

Bibliography

- - -
- -
-
- +
+ -
- ©2023, David Doret. +
+
+
+
+
+ ©2023, David Doret. | Powered by Sphinx 7.1.2 & Alabaster 0.7.13 | - Page source -
- - - - - + Page source +
+ \ No newline at end of file diff --git a/docs/build/bibliography.html b/docs/build/bibliography.html index fb25a245..6bc8d738 100644 --- a/docs/build/bibliography.html +++ b/docs/build/bibliography.html @@ -1,122 +1,234 @@ - - - - - - - - Bibliography — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - - -
-
-
- - -
- -
-

Bibliography

-
- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - +
+ + + + + \ No newline at end of file diff --git a/docs/build/conjunction_introduction.html b/docs/build/conjunction_introduction.html index 643e6659..2a4f8af0 100644 --- a/docs/build/conjunction_introduction.html +++ b/docs/build/conjunction_introduction.html @@ -1,48 +1,229 @@ - - - - - - - - conjunction-introduction — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - - -
-
-
- + -
- -
-

conjunction-introduction

+ + + + + +conjunction-introduction | punctilious 1.0.0 documentation + + + + + + + + + +
+Skip to content +
+
+ +
+ + +
+
+
+ +
+
+
+

conjunction-introduction

-

Definition

+

Definition

conjunction-introduction is the well-known and valid inference-rule:

\[P, Q \vdash \left( P \land Q \right)\]
-

Quotes

+

Quotes

“The rule of conjunction is a valid argument in types of logic dealing with conjunctions ∧. This includes propositional logic and predicate logic, and in particular natural deduction. @@ -52,9 +233,9 @@

Quotes

-

Python implementation

+

Python implementation

-

Properties

+

Properties

class core.InferenceRuleDeclarationDict(u)
@@ -67,7 +248,6 @@

Properties
property conjunction_introduction: ConjunctionIntroductionDeclaration
@@ -76,9 +256,7 @@

Properties
class core.InferenceRuleDeclarationDict(u)
@@ -91,7 +269,6 @@

Properties
property conjunction_introduction: ConjunctionIntroductionDeclaration
@@ -100,24 +277,21 @@

Properties -

Classes

+

Classes

-class core.ConjunctionIntroductionDeclaration(universe_of_discourse, echo=None)
+class core.ConjunctionIntroductionDeclaration(universe_of_discourse, echo=None)

The declaration of the conjunction-introduction inference-rule as valid in the target universe-of-discourse.

-__init__(universe_of_discourse, echo=None)
+__init__(universe_of_discourse, echo=None)
-
-compose_paragraph_proof(o)
+compose_paragraph_proof(o)

Composes the paragraph-proof of inferred-statements based on the conjunction-introduction inference-rule .

Return type:
@@ -125,10 +299,9 @@

Classes
-infer_formula(p, q, t, echo=None)
+infer_formula(p, q, t, echo=None)

Apply the conjunction-introduction inference-rule and return the resulting formula.

Parameters:
@@ -144,10 +317,9 @@

Classes
-verify_args(p, q, t)
+verify_args(p, q, t)

Verify the correctness of the parameters provided to the double-negation-introduction inference-rule .

Parameters:
@@ -165,21 +337,18 @@

Classes
-class core.ConjunctionIntroductionInclusion(t, echo=None, proof=None)
+class core.ConjunctionIntroductionInclusion(t, echo=None, proof=None)
-__init__(t, echo=None, proof=None)
+__init__(t, echo=None, proof=None)

Include (aka allow) an inference-rule in a theory-elaboration.

-
-infer_formula(p=None, q=None, echo=None)
+infer_formula(p=None, q=None, echo=None)

Apply the conjunction-introduction inference-rule and return the resulting formula.

Parameters:
@@ -194,10 +363,9 @@

Classes
-infer_statement(p=None, q=None, nameset=None, ref=None, paragraph_header=None, subtitle=None, echo=None)
+infer_statement(p=None, q=None, nameset=None, ref=None, paragraph_header=None, subtitle=None, echo=None)

Apply the conjunction-introduction inference-rule and return the resulting inferred-statement.

Parameters:
@@ -216,107 +384,33 @@

Classes -

Bibliography

+

Bibliography

- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - + + + + + + \ No newline at end of file diff --git a/docs/build/disjunction_introduction.html b/docs/build/disjunction_introduction.html index 40f0dc2b..820462ad 100644 --- a/docs/build/disjunction_introduction.html +++ b/docs/build/disjunction_introduction.html @@ -1,55 +1,45 @@ - - - - - disjunction-introduction — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - -
-
-
- - -
- -
-

disjunction-introduction

+ + + +disjunction-introduction — punctilious 1.0.0 documentation + + + + + + + + + + + + +
+
+
+
+
+

disjunction-introduction

-

Definition

+

Definition

disjunction-introduction is the well-known and valid inference-rule:

\[P \vdash \left( P \lor Q \right)\]
-

Quotes

+

Quotes

“Addition (or disjunction introduction, or or introduction) is the rule of inference that allows one to infer a disjunction from either of the disjuncts.” - [1], p8

-

Python implementation

+

Python implementation

-

Properties

+

Properties

class core.InferenceRuleDeclarationDict(u)
@@ -62,9 +52,7 @@

Properties
class core.InferenceRuleDeclarationDict(u)
@@ -77,24 +65,21 @@

Properties -

Classes

+

Classes

-class core.DisjunctionIntroductionDeclaration(universe_of_discourse, echo=None)
+class core.DisjunctionIntroductionDeclaration(universe_of_discourse, echo=None)

The declaration of the disjunction-introduction inference-rule as valid in the target universe-of-discourse.

-__init__(universe_of_discourse, echo=None)
+__init__(universe_of_discourse, echo=None)
-
-compose_paragraph_proof(o)
+compose_paragraph_proof(o)

Composes the paragraph-proof of inferred-statements based on the disjunction-introduction inference-rule .

Return type:
@@ -102,10 +87,9 @@

Classes
-infer_formula(p, q, t, echo=None)
+infer_formula(p, q, t, echo=None)

Apply the disjunction-introduction inference-rule and return the resulting formula.

Parameters:
@@ -121,10 +105,9 @@

Classes
-verify_args(p, q, t)
+verify_args(p, q, t)

Verify the correctness of the parameters provided to the double-negation-introduction inference-rule .

Parameters:
@@ -139,21 +122,18 @@

Classes
-class core.DisjunctionIntroductionInclusion(t, echo=None, proof=None)
+class core.DisjunctionIntroductionInclusion(t, echo=None, proof=None)
-__init__(t, echo=None, proof=None)
+__init__(t, echo=None, proof=None)

Include (aka allow) an inference-rule in a theory-elaboration.

-
-infer_formula(p=None, q=None, echo=None)
+infer_formula(p=None, q=None, echo=None)

Apply the disjunction-introduction inference-rule and return the resulting formula.

Parameters:
@@ -168,10 +148,9 @@

Classes
-infer_statement(p=None, q=None, nameset=None, ref=None, paragraph_header=None, subtitle=None, echo=None)
+infer_statement(p=None, q=None, nameset=None, ref=None, paragraph_header=None, subtitle=None, echo=None)

Apply the disjunction-introduction inference-rule and return the resulting inferred-statement.

Parameters:
@@ -190,40 +169,27 @@

Classes -

Bibliography

+

Bibliography

- - -
- -
-
- +
+ -
- ©2023, David Doret. +
+
+
+
+
+ ©2023, David Doret. | Powered by Sphinx 7.1.2 & Alabaster 0.7.13 | - Page source -
- - - - - + Page source +
+ \ No newline at end of file diff --git a/docs/build/disjunction_introduction_left.html b/docs/build/disjunction_introduction_left.html index 0504b754..d175b389 100644 --- a/docs/build/disjunction_introduction_left.html +++ b/docs/build/disjunction_introduction_left.html @@ -1,57 +1,238 @@ - - - - - - - - disjunction-introduction-left — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - - -
-
-
- + -
- -
-

disjunction-introduction-left

+ + + + + +disjunction-introduction-left | punctilious 1.0.0 documentation + + + + + + + + + +
+Skip to content +
+
+ +
+ + +
+
+
+ +
+
+
+

disjunction-introduction-left

-

Definition

+

Definition

disjunction-introduction-left is the well-known and valid inference-rule:

\[P \vdash \left( Q \lor P \right)\]
-

Quotes

+

Quotes

“Addition (or disjunction introduction, or or introduction) is the rule of inference that allows one to infer a disjunction from either of the disjuncts.” - [1], p8

-

Python implementation

+

Python implementation

-

Properties

+

Properties

class core.InferenceRuleDeclarationDict(u)
@@ -64,9 +245,7 @@

Properties
class core.InferenceRuleDeclarationDict(u)
@@ -79,24 +258,21 @@

Properties -

Classes

+

Classes

-class core.DisjunctionIntroductionLeftDeclaration(universe_of_discourse, echo=None)
+class core.DisjunctionIntroductionLeftDeclaration(universe_of_discourse, echo=None)

The declaration of the disjunction-introduction-left inference-rule as valid in the target universe-of-discourse.

-__init__(universe_of_discourse, echo=None)
+__init__(universe_of_discourse, echo=None)
-
-compose_paragraph_proof(o)
+compose_paragraph_proof(o)

Composes the paragraph-proof of inferred-statements based on the disjunction-introduction-left inference-rule .

Return type:
@@ -104,10 +280,9 @@

Classes
-infer_formula(p, q, t, echo=None)
+infer_formula(p, q, t, echo=None)

Apply the disjunction-introduction-left inference-rule and return the resulting formula.

Parameters:
@@ -123,10 +298,9 @@

Classes
-verify_args(p, q, t)
+verify_args(p, q, t)

Verify the correctness of the parameters provided to the double-negation-introduction inference-rule .

Parameters:
@@ -141,21 +315,18 @@

Classes
-class core.DisjunctionIntroductionLeftInclusion(t, echo=None, proof=None)
+class core.DisjunctionIntroductionLeftInclusion(t, echo=None, proof=None)
-__init__(t, echo=None, proof=None)
+__init__(t, echo=None, proof=None)

Include (aka allow) an inference-rule in a theory-elaboration.

-
-infer_formula(p=None, q=None, echo=None)
+infer_formula(p=None, q=None, echo=None)

Apply the disjunction-introduction-left inference-rule and return the resulting formula.

Parameters:
@@ -170,10 +341,9 @@

Classes
-infer_statement(p=None, q=None, nameset=None, ref=None, paragraph_header=None, subtitle=None, echo=None)
+infer_statement(p=None, q=None, nameset=None, ref=None, paragraph_header=None, subtitle=None, echo=None)

Apply the disjunction-introduction-left inference-rule and return the resulting inferred-statement.

Parameters:
@@ -192,107 +362,33 @@

Classes -

Bibliography

+

Bibliography

- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - + + + + + + \ No newline at end of file diff --git a/docs/build/disjunction_introduction_right.html b/docs/build/disjunction_introduction_right.html index 627d73cc..1a3c73c9 100644 --- a/docs/build/disjunction_introduction_right.html +++ b/docs/build/disjunction_introduction_right.html @@ -1,57 +1,238 @@ - - - - - - - - disjunction-introduction-right — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - - -
-
-
- + -
- -
-

disjunction-introduction-right

+ + + + + +disjunction-introduction-right | punctilious 1.0.0 documentation + + + + + + + + + +
+Skip to content +
+
+ +
+ + +
+
+
+ +
+
+
+

disjunction-introduction-right

-

Definition

+

Definition

disjunction-introduction-right is the well-known and valid inference-rule:

\[P \vdash \left( P \lor Q \right)\]
-

Quotes

+

Quotes

“Addition (or disjunction introduction, or or introduction) is the rule of inference that allows one to infer a disjunction from either of the disjuncts.” - [1], p8

-

Python implementation

+

Python implementation

-

Properties

+

Properties

class core.InferenceRuleDeclarationDict(u)
@@ -64,9 +245,7 @@

Properties
class core.InferenceRuleDeclarationDict(u)
@@ -79,24 +258,21 @@

Properties -

Classes

+

Classes

-class core.DisjunctionIntroductionRightDeclaration(universe_of_discourse, echo=None)
+class core.DisjunctionIntroductionRightDeclaration(universe_of_discourse, echo=None)

The declaration of the disjunction-introduction-right inference-rule as valid in the target universe-of-discourse.

-__init__(universe_of_discourse, echo=None)
+__init__(universe_of_discourse, echo=None)
-
-compose_paragraph_proof(o)
+compose_paragraph_proof(o)

Composes the paragraph-proof of inferred-statements based on the disjunction-introduction-right inference-rule .

Return type:
@@ -104,10 +280,9 @@

Classes
-infer_formula(p, q, t, echo=None)
+infer_formula(p, q, t, echo=None)

Apply the disjunction-introduction-right inference-rule and return the resulting formula.

Parameters:
@@ -123,10 +298,9 @@

Classes
-verify_args(p, q, t)
+verify_args(p, q, t)

Verify the correctness of the parameters provided to the double-negation-introduction inference-rule .

Parameters:
@@ -141,21 +315,18 @@

Classes
-class core.DisjunctionIntroductionRightInclusion(t, echo=None, proof=None)
+class core.DisjunctionIntroductionRightInclusion(t, echo=None, proof=None)
-__init__(t, echo=None, proof=None)
+__init__(t, echo=None, proof=None)

Include (aka allow) an inference-rule in a theory-elaboration.

-
-infer_formula(p=None, q=None, echo=None)
+infer_formula(p=None, q=None, echo=None)

Apply the disjunction-introduction-right inference-rule and return the resulting formula.

Parameters:
@@ -170,10 +341,9 @@

Classes
-infer_statement(p=None, q=None, nameset=None, ref=None, paragraph_header=None, subtitle=None, echo=None)
+infer_statement(p=None, q=None, nameset=None, ref=None, paragraph_header=None, subtitle=None, echo=None)

Apply the disjunction-introduction-right inference-rule and return the resulting inferred-statement.

Parameters:
@@ -192,107 +362,33 @@

Classes -

Bibliography

+

Bibliography

- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - + + + + + + \ No newline at end of file diff --git a/docs/build/double_negation_introduction.html b/docs/build/double_negation_introduction.html index c06192bc..1caebdb8 100644 --- a/docs/build/double_negation_introduction.html +++ b/docs/build/double_negation_introduction.html @@ -1,48 +1,229 @@ - - - - - - - - double-negation-introduction — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - - -
-
-
- + -
- -
-

double-negation-introduction

+ + + + + +double-negation-introduction | punctilious 1.0.0 documentation + + + + + + + + + +
+Skip to content +
+
+ +
+ + +
+
+
+ +
+
+
+

double-negation-introduction

-

Definition

+

Definition

double-negation-introduction is the well-known and valid inference-rule:

\[P \vdash \lnot \left( \lnot \left( P \right) \right)\]
-

Quotes

+

Quotes

“The rule of double negation introduction is a valid argument in types of logic dealing with negation ¬. This includes propositional logic and predicate logic, and in particular natural deduction. @@ -52,9 +233,9 @@

Quotes

-

Python implementation

+

Python implementation

-

Properties

+

Properties

class core.InferenceRuleDeclarationDict(u)
@@ -67,7 +248,6 @@

Properties
property double_negation_introduction: DoubleNegationIntroductionDeclaration
@@ -76,9 +256,7 @@

Properties
class core.InferenceRuleDeclarationDict(u)
@@ -91,7 +269,6 @@

Properties
property double_negation_introduction: DoubleNegationIntroductionDeclaration
@@ -100,24 +277,21 @@

Properties -

Classes

+

Classes

-class core.DoubleNegationIntroductionDeclaration(universe_of_discourse, echo=None)
+class core.DoubleNegationIntroductionDeclaration(universe_of_discourse, echo=None)

The declaration of the double-negation-introduction inference-rule as valid in the target universe-of-discourse.

-__init__(universe_of_discourse, echo=None)
+__init__(universe_of_discourse, echo=None)
-
-compose_paragraph_proof(o)
+compose_paragraph_proof(o)

Composes the paragraph-proof of inferred-statements based on the double-negation-introduction inference-rule .

Return type:
@@ -125,10 +299,9 @@

Classes
-infer_formula(p=None, t=None, echo=None)
+infer_formula(p=None, t=None, echo=None)

Apply the double-negation-introduction inference-rule and return the resulting formula.

Parameters:
@@ -143,10 +316,9 @@

Classes
-verify_args(p=None, t=None)
+verify_args(p=None, t=None)

Verify the syntactical-compatibility of input statements and return True if they are compatible, False otherwise.

@@ -155,22 +327,19 @@

Classes
-class core.DoubleNegationIntroductionInclusion(t, echo=None, proof=None)
+class core.DoubleNegationIntroductionInclusion(t, echo=None, proof=None)

The inclusion of the double-negation-introduction inference-rule as valid in the target theory-elaboration-sequence.

-__init__(t, echo=None, proof=None)
+__init__(t, echo=None, proof=None)

Include (aka allow) an inference-rule in a theory-elaboration.

-
-infer_formula(p=None, echo=None)
+infer_formula(p=None, echo=None)

Apply the double-negation-introduction inference-rule and return the resulting formula.

Parameters:
@@ -184,10 +353,9 @@

Classes
-infer_statement(p=None, nameset=None, ref=None, paragraph_header=None, subtitle=None, echo=None)
+infer_statement(p=None, nameset=None, ref=None, paragraph_header=None, subtitle=None, echo=None)

Apply the double-negation-introduction inference-rule and return the resulting inferred-statement.

Parameters:
@@ -205,107 +373,33 @@

Classes -

Bibliography

+

Bibliography

- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - + + + + + + \ No newline at end of file diff --git a/docs/build/genindex.html b/docs/build/genindex.html index b12ba55c..8bca0825 100644 --- a/docs/build/genindex.html +++ b/docs/build/genindex.html @@ -1,521 +1,43 @@ - - - - - Index — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - -
-
-
- - -
- - -

Index

- -
- _ - | A - | C - | D - | E - | F - | G - | I - | M - | O - | P - | R - | S - | T - | U - | V - + + + + +Index | punctilious 1.0.0 documentation + + + + + + + +
+Skip to content +
+
+ +
+ + +
-

_

- - -
- -

A

- - - -
- -

C

- - - -
- -

D

- - - -
- -

E

- - - -
- -

F

- - -
- -

G

- - - -
- -

I

- - - -
- -

M

- - - -
- -

O

- - - -
- -

P

- - -
- -

R

- - - -
- -

S

- - - -
- -

T

- - - -
- -

U

- - -
- -

V

- - -
- - - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - -
- - - - - + + + + + \ No newline at end of file diff --git a/docs/build/inconsistency_by_inequality.html b/docs/build/inconsistency_by_inequality.html index 7d3f3dc7..6dde6bb5 100644 --- a/docs/build/inconsistency_by_inequality.html +++ b/docs/build/inconsistency_by_inequality.html @@ -1,81 +1,60 @@ - - - - - inconsistency-by-inequality-introduction — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - - -
-
-
- - -
- -
-

inconsistency-by-inequality-introduction

+ + + +inconsistency-by-inequality-introduction — punctilious 1.0.0 documentation + + + + + + + + + + + + + +
+
+
+
+
+

inconsistency-by-inequality-introduction

-

Definition

+

Definition

inconsistency-by-inequality-introduction is the inference-rule:

\[\left(\left(x = y\right) \land \left(x \neq y\right)\right) \vdash Inc\left(\mathcal{T}\right)\]
-

Quotes

+

Quotes

“A proof of consistency will have to show, by appealing to contentual considerations which are completely unproblematic, that in the formalism in question it is never possible to derive the formula 𝑎 ≠ 𝑎, or alternatively it is not possible to prove both 𝑎 = 𝑏 and 𝑎 ≠ 𝑏.” - [1]

-

Bibliography

+

Bibliography

- - -
- -
-
- +
+ -
- ©2023, David Doret. +
+
+
+
+
+ ©2023, David Doret. | Powered by Sphinx 7.1.2 & Alabaster 0.7.13 | - Page source -
- - - - - + Page source +
+ \ No newline at end of file diff --git a/docs/build/inconsistency_by_inequality_introduction.html b/docs/build/inconsistency_by_inequality_introduction.html index a7f06152..1ec9dbd3 100644 --- a/docs/build/inconsistency_by_inequality_introduction.html +++ b/docs/build/inconsistency_by_inequality_introduction.html @@ -1,147 +1,258 @@ - - - - - - - - inconsistency-by-inequality-introduction — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - - -
-
-
- + -
- -
-

inconsistency-by-inequality-introduction

+ + + + + +inconsistency-by-inequality-introduction | punctilious 1.0.0 documentation + + + + + + + + + +
+Skip to content +
+
+ +
+ + +
+
+
+ +
+
+
+

inconsistency-by-inequality-introduction

-

Definition

+

Definition

inconsistency-by-inequality-introduction is the inference-rule:

\[\left(\left(x = y\right) \land \left(x \neq y\right)\right) \vdash Inc\left(\mathcal{T}\right)\]
-

Quotes

+

Quotes

“A proof of consistency will have to show, by appealing to contentual considerations which are completely unproblematic, that in the formalism in question it is never possible to derive the formula 𝑎 ≠ 𝑎, or alternatively it is not possible to prove both 𝑎 = 𝑏 and 𝑎 ≠ 𝑏.” - [1]

-

Bibliography

+

Bibliography

- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - + + + + + + \ No newline at end of file diff --git a/docs/build/inconsistency_by_inequality_math_object.html b/docs/build/inconsistency_by_inequality_math_object.html index 224177c1..ac80c87f 100644 --- a/docs/build/inconsistency_by_inequality_math_object.html +++ b/docs/build/inconsistency_by_inequality_math_object.html @@ -1,66 +1,45 @@ - - - - - inconsistency-by-inequality-introduction (inference-rule) — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - -
-
-
- - -
- -
-

inconsistency-by-inequality-introduction (inference-rule)

+ + + +inconsistency-by-inequality-introduction (inference-rule) — punctilious 1.0.0 documentation + + + + + + + + + + + + +
+
+
+
+
+

inconsistency-by-inequality-introduction (inference-rule)

-

Definition

+

Definition

inconsistency-by-inequality-introduction is the inference-rule (mathematical object):

\[ \begin{align}\begin{aligned}\left(P \implies Q\right) \vdash \left(P \implies P \land Q\right)\\ A proof of consistency will have to show, by appealing to contentual considerations which are completely unproblematic, that in the formalism in question it is never possible to derive the formula 𝑎 ≠ 𝑎, or alternatively it is not possible to prove both 𝑎 = 𝑏 and 𝑎 ≠ 𝑏. :footcite:p:`astorino_2010`\end{aligned}\end{align} \]
-

Bibliography

+

Bibliography

- - -
- -
-
- +
+ -
- ©2023, David Doret. +
+
+
+
+
+ ©2023, David Doret. | Powered by Sphinx 7.1.2 & Alabaster 0.7.13 | - Page source -
- - - - - + Page source +
+ \ No newline at end of file diff --git a/docs/build/index.html b/docs/build/index.html index ef719bc5..e57773cd 100644 --- a/docs/build/index.html +++ b/docs/build/index.html @@ -1,56 +1,240 @@ - - - - - - - - Index — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - -
-
-
- + -
- -
-

Index

+ + + + + +Index | punctilious 1.0.0 documentation + + + + + + + + +
+Skip to content +
+
+ +
+ + +
+
+
+ +
+
+
+

Index

punctilious documentation master file, created by sphinx-quickstart on Sun Aug 13 22:01:23 2023. You can adapt this file completely to your liking, but it should at least contain the root toctree directive.

-

Welcome to punctilious’s documentation!

+

Welcome to punctilious’s documentation!

Contents:

- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - + + + + + \ No newline at end of file diff --git a/docs/build/inference-rule.html b/docs/build/inference-rule.html index c53b487f..51c20bbd 100644 --- a/docs/build/inference-rule.html +++ b/docs/build/inference-rule.html @@ -1,87 +1,66 @@ - - - - - inference-rule — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - -
-
-
- - -
- -
-

inference-rule

+ + + +inference-rule — punctilious 1.0.0 documentation + + + + + + + + + + + +
+
+
+
+
+

inference-rule

-

Definition

+

Definition

An inference-rule is a syntactical transform rule which allow to infer a valid-statement from some premises.

-

Synonyms

+

Synonyms

  • Derivation rule

-

See also

+

See also

  • Derivation rule

-

Bibliography

+

Bibliography

- - -
- -
-
- +
+ -
- ©2023, David Doret. +
+
+
+
+
+ ©2023, David Doret. | Powered by Sphinx 7.1.2 & Alabaster 0.7.13 | - Page source -
- - - - - + Page source +
+ \ No newline at end of file diff --git a/docs/build/inference_rule.html b/docs/build/inference_rule.html index aff8e529..3aaa20be 100644 --- a/docs/build/inference_rule.html +++ b/docs/build/inference_rule.html @@ -1,151 +1,267 @@ - - - - - - - - inference-rule — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - -
-
-
- + -
- -
-

inference-rule

+ + + + + +inference-rule | punctilious 1.0.0 documentation + + + + + + + + + +
+Skip to content +
+
+ +
+ + +
+
+
+ +
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+
+

inference-rule

-

Definition

+

Definition

An inference-rule is a syntactic transformation rule which allows to infer a valid statement from some premises.

-

Synonyms

+

Synonyms

  • Derivation rule

-

List of well-known inference-rules

+

List of well-known inference-rules

-

See also

+

See also

-

Bibliography

+

Bibliography

- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - + + + + + \ No newline at end of file diff --git a/docs/build/inference_rule_math_object.html b/docs/build/inference_rule_math_object.html index e29009ae..d1231f10 100644 --- a/docs/build/inference_rule_math_object.html +++ b/docs/build/inference_rule_math_object.html @@ -1,87 +1,66 @@ - - - - - inference-rule (mathematical object) — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - -
-
-
- - -
- -
-

inference-rule (mathematical object)

+ + + +inference-rule (mathematical object) — punctilious 1.0.0 documentation + + + + + + + + + + + +
+
+
+
+
+

inference-rule (mathematical object)

-

Definition

+

Definition

An inference-rule is a syntactic transformation rule which allows to infer a valid statement from some premises.

-

Synonyms

+

Synonyms

  • Derivation rule

-

List of well-known inference-rules

+

List of well-known inference-rules

-

See also

+

See also

  • Derivation rule

-

Bibliography

+

Bibliography

- - -
- -
-
- +
+ -
- ©2023, David Doret. +
+
+
+
+
+ ©2023, David Doret. | Powered by Sphinx 7.1.2 & Alabaster 0.7.13 | - Page source -
- - - - - + Page source +
+ \ No newline at end of file diff --git a/docs/build/is_a.html b/docs/build/is_a.html index c1b0f09a..34d248ee 100644 --- a/docs/build/is_a.html +++ b/docs/build/is_a.html @@ -1,154 +1,243 @@ - - - - - - - - is-a — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - - -
-
-
- + -
- -
-

is-a

+ + + + + +is-a | punctilious 1.0.0 documentation + + + + + + + + + +
+Skip to content +
+
+ +
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+

is-a

-

Definition

+

Definition

In punctilious, is-a is a binary relation used to denote that an object belongs to an arbitrary collection of objects.

It is a design choice to not use the symbol \(\in\) to distinguish this loose concept from membership of sets or classes.

-

Python implementation

+

Python implementation

-

is_a

+

is_a

-class core.RelationDict(u)
+class core.RelationDict(u)

A dictionary that exposes well-known relations as properties.

-property is_a
+property is_a

XXXXXXX

-
-
-

Bibliography

+

Bibliography

- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - + + + + + + \ No newline at end of file diff --git a/docs/build/meta_object.html b/docs/build/meta_object.html index 4be765ab..605142ad 100644 --- a/docs/build/meta_object.html +++ b/docs/build/meta_object.html @@ -1,45 +1,209 @@ - - - - - - - - meta-object — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - -
-
-
- + -
- -
-

meta-object

+ + + + + +meta-object | punctilious 1.0.0 documentation + + + + + + + + + +
+Skip to content +
+
+ +
+ + +
+
+
+ +
+
+
+

meta-object

-

Definition

+

Definition

meta-object

-

List

+

List

class core.SimpleObjctDict(u)
@@ -50,98 +214,23 @@

List¶<

The relation meta-object.

TODO: relation meta-object: Move this to a specialized class and dictionary?

- -
-

Bibliography

+

Bibliography

- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - + + + + + \ No newline at end of file diff --git a/docs/build/modus_ponens.html b/docs/build/modus_ponens.html index 7af16296..0bca96cb 100644 --- a/docs/build/modus_ponens.html +++ b/docs/build/modus_ponens.html @@ -1,62 +1,224 @@ - - - - - - - - modus-ponens — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - - -
-
-
- + -
- -
-

modus-ponens

+ + + + + +modus-ponens | punctilious 1.0.0 documentation + + + + + + + + + +
+Skip to content +
+
+ +
+ + +
+
+
+ +
+
+
+

modus-ponens

-

Definition

+

Definition

modus-ponens is the well-known and valid inference-rule in propositional-logic:

\[\left( \left(P \implies Q\right) \land P \right) \vdash Q\]
-

Python implementation

+

Python implementation

-

ModusPonensDeclaration

+

ModusPonensDeclaration

-class core.ModusPonensDeclaration(universe_of_discourse, echo=None)
+class core.ModusPonensDeclaration(universe_of_discourse, echo=None)

The declaration of the modus-ponens inference-rule in a universe-of-discourse.

-__init__(universe_of_discourse, echo=None)
+__init__(universe_of_discourse, echo=None)
-
-compose_paragraph_proof(o)
+compose_paragraph_proof(o)

This method should be overridden by specialized inference-rule classes to provide accurate proofs.

Return type:
@@ -64,10 +226,9 @@

ModusPonensDeclaration

-
-infer_formula(p_implies_q, p, t, echo=None)
+infer_formula(p_implies_q, p, t, echo=None)
Parameters:
    @@ -80,10 +241,9 @@

    ModusPonensDeclaration

-
-verify_args(p_implies_q, p, t)
+verify_args(p_implies_q, p, t)
Parameters:
    @@ -99,25 +259,22 @@

    ModusPonensDeclaration

-
-
-

ModusPonensInclusion

+

ModusPonensInclusion

-class core.ModusPonensInclusion(t, echo=None, proof=None)
+class core.ModusPonensInclusion(t, echo=None, proof=None)

The inclusion of modus-ponens as a valid inference-rule in a theory-elaboration-sequence.

-__init__(t, echo=None, proof=None)
+__init__(t, echo=None, proof=None)

Include (aka allow) an inference-rule in a theory-elaboration.

-
-infer_formula(p_implies_q=None, p=None, echo=None)
+infer_formula(p_implies_q=None, p=None, echo=None)

Apply the modus-ponens inference-rule and return the inferred-formula.

Parameters:
@@ -131,10 +288,9 @@

ModusPonensInclusion

-
-infer_statement(p_implies_q=None, p=None, nameset=None, ref=None, paragraph_header=None, subtitle=None, echo=None)
+infer_statement(p_implies_q=None, p=None, nameset=None, ref=None, paragraph_header=None, subtitle=None, echo=None)

Apply the modus-ponens inference-rule and return the inferred-statement.

Parameters:
@@ -148,99 +304,25 @@

ModusPonensInclusion

-
-
-

Bibliography

+

Bibliography

- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - + + + + + + \ No newline at end of file diff --git a/docs/build/notation_form.html b/docs/build/notation_form.html index e06e2ea0..71b3344e 100644 --- a/docs/build/notation_form.html +++ b/docs/build/notation_form.html @@ -1,45 +1,209 @@ - - - - - - - - notation-form — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - -
-
-
- + -
- -
-

notation-form

+ + + + + +notation-form | punctilious 1.0.0 documentation + + + + + + + + + +
+Skip to content +
+
+ +
+ + +
+
+
+ +
+
+
+

notation-form

-

Definition

+

Definition

notation-form

-

List

+

List

The following notation-forms are supported by punctilious:

  • function-call

    • @@ -51,88 +215,20 @@

    List¶<

-

Bibliography

+

Bibliography

- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - + + + + + \ No newline at end of file diff --git a/docs/build/objects.inv b/docs/build/objects.inv index bb948b18..23af4c9a 100644 Binary files a/docs/build/objects.inv and b/docs/build/objects.inv differ diff --git a/docs/build/paragraph_proof.html b/docs/build/paragraph_proof.html index 4b428cd4..5d161d01 100644 --- a/docs/build/paragraph_proof.html +++ b/docs/build/paragraph_proof.html @@ -1,137 +1,248 @@ - - - - - - - - paragraph-proof (proof-style) — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - -
-
-
- + -
- -
-

paragraph-proof (proof-style)

+ + + + + +paragraph-proof (proof-style) | punctilious 1.0.0 documentation + + + + + + + + + +
+Skip to content +
+
+ +
+ + +
+
+
+ +
+
+
+

paragraph-proof (proof-style)

-

Definition

+

Definition

paragraph-proof is a style-of-proof that presents the proof as a single paragraph of text detailing its steps, their justification, and the proof conclusion. [1]

-

Bibliography

+

Bibliography

- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - + + + + + \ No newline at end of file diff --git a/docs/build/py-modindex.html b/docs/build/py-modindex.html index b82492a0..fc2abe04 100644 --- a/docs/build/py-modindex.html +++ b/docs/build/py-modindex.html @@ -1,74 +1,47 @@ - - - - Python Module Index — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - + + + + + + + - - - - - -
-
-
- - -
- - -

Python Module Index

- -
- c -
- - - - - - - -
 
- c
- core -
- - -
- -
-
- + \ No newline at end of file diff --git a/docs/build/relation.html b/docs/build/relation.html index 9d2963f3..c1817e74 100644 --- a/docs/build/relation.html +++ b/docs/build/relation.html @@ -1,42 +1,223 @@ - - - - - - - - relation — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - - -
-
-
- + -
- -
-

relation

+ + + + + +relation | punctilious 1.0.0 documentation + + + + + + + + + +
+Skip to content +
+
+ +
+ + +
+
+
+ +
+
+
+

relation

-

Definition

+

Definition

A relation is a set of ordered pairs [1]. Equivalently, it is a property of sets such that, for any two members of sets \(a\) and \(b\), \(aRb\) is either true or false [2].

@@ -48,7 +229,7 @@

Definition -

Key properties

+

Key properties

-

Python implementation

+

Python implementation

In punctilious, relations are implemented by the core.Relation class.

A catalog of well-known relations is handily available in the RelationDict…

-

Relation

+

Relation

-class core.Relation(universe_of_discourse, arity, symbol=None, index=None, auto_index=None, formula_rep=None, signal_proposition=None, signal_theoretical_morphism=None, implementation=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, ref=None, subtitle=None, nameset=None, echo=None)
+class core.Relation(universe_of_discourse, arity, symbol=None, index=None, auto_index=None, formula_rep=None, signal_proposition=None, signal_theoretical_morphism=None, implementation=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, ref=None, subtitle=None, nameset=None, echo=None)

The Relation pythonic class is the implementation of the relation theoretical-object.

-__init__(universe_of_discourse, arity, symbol=None, index=None, auto_index=None, formula_rep=None, signal_proposition=None, signal_theoretical_morphism=None, implementation=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, ref=None, subtitle=None, nameset=None, echo=None)
+__init__(universe_of_discourse, arity, symbol=None, index=None, auto_index=None, formula_rep=None, signal_proposition=None, signal_theoretical_morphism=None, implementation=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, ref=None, subtitle=None, nameset=None, echo=None)
-
-compose_report(proof=None, **kwargs)
+compose_report(proof=None, **kwargs)

Composes a report that describes this object.

-
-
-

meta-object

+

meta-object

-class core.SimpleObjctDict(u)
+class core.SimpleObjctDict(u)

A dictionary that exposes well-known simple-objcts as properties.

-property relation
+property relation

The relation meta-object.

TODO: relation meta-object: Move this to a specialized class and dictionary?

-
-
-

Bibliography

+

Bibliography

- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - + + + + + + \ No newline at end of file diff --git a/docs/build/search.html b/docs/build/search.html index 1fd4da8b..8021a0d3 100644 --- a/docs/build/search.html +++ b/docs/build/search.html @@ -1,138 +1,236 @@ - - - - - Search — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - - - - - - -
-
-
- - -
- -

Search

- - - - -

- Searching for multiple words only shows matches that contain - all words. -

- - -
- - - -
- - - -
- -
- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - -
- - - - - + + + +
+
+
+ + + Please activate Javascript to enable searching the documentation. + +
+
+
+
+ +
+ + + + + + + + \ No newline at end of file diff --git a/docs/build/searchindex.js b/docs/build/searchindex.js index 3303b00e..efd0a1c3 100644 --- a/docs/build/searchindex.js +++ b/docs/build/searchindex.js @@ -1 +1 @@ -Search.setIndex({"docnames": ["absorption", "bibliography", "conjunction_introduction", "disjunction_introduction_left", "disjunction_introduction_right", "double_negation_introduction", "inconsistency_by_inequality_introduction", "index", "inference_rule", "is_a", "meta_object", "modus_ponens", "notation_form", "paragraph_proof", "relation", "theory_elaboration_sequence", "universe_of_discourse", "variable_substitution"], "filenames": ["absorption.rst", "bibliography.rst", "conjunction_introduction.rst", "disjunction_introduction_left.rst", "disjunction_introduction_right.rst", "double_negation_introduction.rst", "inconsistency_by_inequality_introduction.rst", "index.rst", "inference_rule.rst", "is_a.rst", "meta_object.rst", "modus_ponens.rst", "notation_form.rst", "paragraph_proof.rst", "relation.rst", "theory_elaboration_sequence.rst", "universe_of_discourse.rst", "variable_substitution.rst"], "titles": ["absorption", "Bibliography", "conjunction-introduction", "disjunction-introduction-left", "disjunction-introduction-right", "double-negation-introduction", "inconsistency-by-inequality-introduction", "Index", "inference-rule", "is-a", "meta-object", "modus-ponens", "notation-form", "paragraph-proof (proof-style)", "relation", "theory-elaboration-sequence", "universe-of-discourse", "variable-substitution"], "terms": {"core": [0, 2, 3, 4, 5, 9, 10, 11, 14, 15, 16, 17], "universe_of_discours": [0, 2, 3, 4, 5, 11, 14, 16, 17], "universeofdiscours": [], "echo": [0, 2, 3, 4, 5, 11, 14, 15, 16, 17], "none": [0, 2, 3, 4, 5, 11, 14, 15, 16, 17], "bool": [0, 2, 3, 4, 5, 11, 16, 17], "The": [0, 2, 3, 4, 5, 10, 11, 12, 14, 15, 16, 17], "declar": [0, 2, 3, 4, 5, 11, 16], "absorpt": [7, 8], "infer": [0, 2, 3, 4, 5, 6, 7, 11, 15, 16, 17], "rule": [0, 2, 3, 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"core.DoubleNegationIntroductionDeclaration.verify_args"]], "relation (class in core)": [[22, "core.Relation"]], "simpleobjctdict (class in core)": [[22, "core.SimpleObjctDict"]], "__init__() (core.relation method)": [[22, "core.Relation.__init__"]], "compose_report() (core.relation method)": [[22, "core.Relation.compose_report"]], "relation (core.simpleobjctdict property)": [[22, "core.SimpleObjctDict.relation"]]}}) \ No newline at end of file diff --git a/docs/build/theory_elaboration_sequence.html b/docs/build/theory_elaboration_sequence.html index 69697e6b..f6b9f058 100644 --- a/docs/build/theory_elaboration_sequence.html +++ b/docs/build/theory_elaboration_sequence.html @@ -1,144 +1,295 @@ - - - - - - - - theory-elaboration-sequence — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - -
-
-
- + -
- -
-

theory-elaboration-sequence

+ + + + + +theory-elaboration-sequence | punctilious 1.0.0 documentation + + + + + + + + + +
+Skip to content +
+
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+
+
+ +
+
+
+

theory-elaboration-sequence

-

Definition

+

Definition

theory-elaboration-sequence is …

-

Python implementation

+

Python implementation

-

TheoryElaborationSequence

+

TheoryElaborationSequence

-class core.TheoryElaborationSequence(u, symbol=None, nameset=None, ref=None, subtitle=None, extended_theory=None, extended_theory_limit=None, stabilized=False, echo=None)
+class core.TheoryElaborationSequence(u, symbol=None, nameset=None, ref=None, subtitle=None, extended_theory=None, extended_theory_limit=None, stabilized=False, echo=None)

The TheoryElaboration pythonic class models a [theory-elaboration](theory-elaboration).

-__init__(u, symbol=None, nameset=None, ref=None, subtitle=None, extended_theory=None, extended_theory_limit=None, stabilized=False, echo=None)
+__init__(u, symbol=None, nameset=None, ref=None, subtitle=None, extended_theory=None, extended_theory_limit=None, stabilized=False, echo=None)
-
-assure_interpretation_disclaimer(echo=None)
+assure_interpretation_disclaimer(echo=None)

After the first usage of a contentual interpretation inference-rule, warns the user that no semantic verification is performed.

-
-compose_article(proof=None)
+compose_article(proof=None)

Return a representation that expresses and justifies the theory.

-
-compose_report(proof=None, **kwargs)
+compose_report(proof=None, **kwargs)

Composes a report that describes this object.

-
-property consistency: Consistency
+property consistency: Consistency

The currently proven consistency status of this theory.

Possible values are: - proved-consistent, - proved-inconsistent, - undetermined.

-
-crossreference_axiom_inclusion(a)
+crossreference_axiom_inclusion(a)

During construction, cross-reference an axiom with its parent theory (if it is not already cross-referenced), and return its 0-based index in Theory.axioms.

-
-crossreference_definition_endorsement(d)
+crossreference_definition_endorsement(d)

During construction, cross-reference an endorsement with its parent theory (if it is not already cross-referenced), and return its 0-based index in Theory.endorsements.

-
-crossreference_inference_rule_inclusion(i)
+crossreference_inference_rule_inclusion(i)

During construction, cross-reference an inference-rule with its parent theory-elaboration (if it is not already cross-referenced).

-
-crossreference_statement(s)
+crossreference_statement(s)

During construction, cross-reference a statement 𝒮 with its parent theory if it is not already cross-referenced, and return its 0-based index in Theory.statements.

-
-d(natural_language, symbol=None, reference=None, title=None)
+d(natural_language, symbol=None, reference=None, title=None)

Elaborate a new definition with natural-language. Shortcut function for t.elaborate_definition(…).

-
-export_article_to_file(file_path, proof=None, encoding=None)
+export_article_to_file(file_path, proof=None, encoding=None)

Export this theory to a Unicode textfile.

-
-property extended_theory: None, TheoryElaborationSequence
+property extended_theory: None, TheoryElaborationSequence

None if this is a root theory, the theory that this theory extends otherwise.

-
-property extended_theory_limit: None, Statement
+property extended_theory_limit: None, Statement

If this is a limited extended-theory, the inclusive statement-limit of the inclusion.

-
-get_first_syntactically_equivalent_statement(formula=None)
+get_first_syntactically_equivalent_statement(formula=None)

Given a formula, return the first statement that is syntactically-equivalent with it, or None if none are found.

Parameters:
@@ -149,43 +300,37 @@

TheoryElaborationSequence
-property i
+property i

Return the dictionary of inference-rule-inclusions contained in this theory-elaboration.

-
-include_axiom(a, symbol=None, index=None, auto_index=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, ref=None, subtitle=None, nameset=None, paragraph_header=None, echo=None)
+include_axiom(a, symbol=None, index=None, auto_index=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, ref=None, subtitle=None, nameset=None, paragraph_header=None, echo=None)

Include an axiom in this theory-elaboration-sequence.

-
-include_definition(d, symbol=None, index=None, auto_index=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, ref=None, subtitle=None, nameset=None, echo=None)
+include_definition(d, symbol=None, index=None, auto_index=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, ref=None, subtitle=None, nameset=None, echo=None)

Include a definition in this theory-elaboration-sequence.

-
-property inconsistency_introduction_inference_rule_is_included
+property inconsistency_introduction_inference_rule_is_included

True if the inconsistency-introduction inference-rule is included in this theory, False otherwise.

-
-property inference_rule_inclusions
+property inference_rule_inclusions

Return the dictionary of inference-rule-inclusions contained in this theory-elaboration.

-
-iterate_statements_in_theory_chain(formula=None)
+iterate_statements_in_theory_chain(formula=None)

Iterate through the (proven or sound) statements in the current theory-chain.

Parameters:
@@ -196,10 +341,9 @@

TheoryElaborationSequence
-iterate_theoretical_objcts_references(include_root=True, visited=None)
+iterate_theoretical_objcts_references(include_root=True, visited=None)

Iterate through this and all the theoretical-objcts it references recursively.

Theoretical-objcts may contain references to multiple and diverse other theoretical-objcts. Do not confuse this iteration of all references with iterations of objects in the theory-chain.

@@ -214,15 +358,14 @@

TheoryElaborationSequence
-iterate_theory_chain(visited=None)
+iterate_theory_chain(visited=None)

Iterate over the theory-chain of this theory.

The sequence is : this theory, this theory’s extended-theory, the extended-theory’s extended-theory, etc. until the root-theory is processes.

-

Note

+

Note

The theory-chain set is distinct from theory-dependency set. The theory-chain informs of the parent package whose statements are considered valid in the current theory. @@ -230,139 +373,58 @@

Note¶< or possibly other use cases.

-
-iterate_valid_propositions_in_theory_chain()
+iterate_valid_propositions_in_theory_chain()

Iterate through the valid-propositions in the current theory-chain.

-
-open_section(section_title, section_number=None, section_parent=None, numbering=None, echo=None)
+open_section(section_title, section_number=None, section_parent=None, numbering=None, echo=None)

Open a new section in the current theory-elaboration-sequence.

-
-pose_hypothesis(hypothesis_formula, symbol=None, index=None, auto_index=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, ref=None, subtitle=None, nameset=None, echo=None)
+pose_hypothesis(hypothesis_formula, symbol=None, index=None, auto_index=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, ref=None, subtitle=None, nameset=None, echo=None)

Pose a new hypothesis in the current theory.

-
-report_inconsistency_proof(proof)
+report_inconsistency_proof(proof)

This method is called by InferredStatement.__init__() when the inferred-statement proves the inconsistency of a theory.

-
-property stabilized
+property stabilized

Return the stabilized property of this theory-elaboration.

-
-take_note(content, symbol=None, index=None, auto_index=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, paragraph_header=None, ref=None, subtitle=None, nameset=None, echo=None)
+take_note(content, symbol=None, index=None, auto_index=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, paragraph_header=None, ref=None, subtitle=None, nameset=None, echo=None)

Take a note, make a comment, or remark in this theory.

-

-
-

Bibliography

+

Bibliography

  • …

- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - + + + + + \ No newline at end of file diff --git a/docs/build/universe_of_discourse.html b/docs/build/universe_of_discourse.html index 5ce842f7..4eeeef51 100644 --- a/docs/build/universe_of_discourse.html +++ b/docs/build/universe_of_discourse.html @@ -1,59 +1,222 @@ - - - - - - - - universe-of-discourse — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - -
-
-
- + -
- -
-

universe-of-discourse

+ + + + + +universe-of-discourse | punctilious 1.0.0 documentation + + + + + + + + + +
+Skip to content +
+
+ +
+ + +
+
+
+ +
+
+
+

universe-of-discourse

-

Definition

+

Definition

universe-of-discourse is …

-

Python implementation

+

Python implementation

-

UniverseOfDiscourse

+

UniverseOfDiscourse

-class core.UniverseOfDiscourse(nameset=None, symbol=None, dashed_name=None, name=None, echo=None)
+class core.UniverseOfDiscourse(nameset=None, symbol=None, dashed_name=None, name=None, echo=None)

The UniverseOfDiscourse pythonic class models a universe-of-discourse.

-__init__(nameset=None, symbol=None, dashed_name=None, name=None, echo=None)
+__init__(nameset=None, symbol=None, dashed_name=None, name=None, echo=None)
-
-cross_reference_axiom(a)
+cross_reference_axiom(a)

Cross-references an axiom in this universe-of-discourse.

Parameters:
@@ -64,10 +227,9 @@

UniverseOfDiscourse
-cross_reference_definition(d)
+cross_reference_definition(d)

Cross-references a definition in this universe-of-discourse.

Parameters:
@@ -78,10 +240,9 @@

UniverseOfDiscourse
-cross_reference_formula(phi)
+cross_reference_formula(phi)

Cross-references a formula in this universe-of-discourse.

Parameters:
@@ -89,10 +250,9 @@

UniverseOfDiscourse
-cross_reference_inference_rule(ir)
+cross_reference_inference_rule(ir)

Cross-references an inference-rule in this universe-of-discourse.

Parameters:
@@ -103,10 +263,9 @@

UniverseOfDiscourse
-cross_reference_relation(r)
+cross_reference_relation(r)

Cross-references a relation in this universe-of-discourse.

Parameters:
@@ -114,10 +273,9 @@

UniverseOfDiscourse
-cross_reference_simple_objct(o)
+cross_reference_simple_objct(o)

Cross-references a simple-objct in this universe-of-discourse.

Parameters:
@@ -125,10 +283,9 @@

UniverseOfDiscourse
-cross_reference_symbolic_objct(o)
+cross_reference_symbolic_objct(o)

Cross-references a symbolic-objct in this universe-of-discourse.

Parameters:
@@ -136,10 +293,9 @@

UniverseOfDiscourse
-cross_reference_theory(t)
+cross_reference_theory(t)

Cross-references a theory in this universe-of-discourse.

Parameters:
@@ -147,31 +303,27 @@

UniverseOfDiscourse
-declare_axiom(natural_language, symbol=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, ref=None, subtitle=None, paragraph_header=None, nameset=None, echo=None)
+declare_axiom(natural_language, symbol=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, ref=None, subtitle=None, paragraph_header=None, nameset=None, echo=None)

Elaborate a new axiom 𝑎 in this universe-of-discourse.

-
-declare_definition(natural_language, symbol=None, index=None, auto_index=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, ref=None, subtitle=None, nameset=None, echo=None)
+declare_definition(natural_language, symbol=None, index=None, auto_index=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, ref=None, subtitle=None, nameset=None, echo=None)

Elaborate a new axiom 𝑎 in this universe-of-discourse.

-
-declare_formula(relation, *parameters, nameset=None, lock_variable_scope=None, echo=None)
+declare_formula(relation, *parameters, nameset=None, lock_variable_scope=None, echo=None)

Declare a new formula in this universe-of-discourse.

This method is a shortcut for Formula(universe_of_discourse=self, . . d.).

A formula is declared in a theory, and not stated, because it is not a statement, i.e. it is not necessarily true in this theory.

-
-declare_free_variable(symbol=None, echo=None)
+declare_free_variable(symbol=None, echo=None)

Declare a free-variable in this universe-of-discourse.

A shortcut function for FreeVariable(universe_of_discourse=u, …)

@@ -183,10 +335,9 @@

UniverseOfDiscourse
-declare_theory(symbol=None, nameset=None, ref=None, subtitle=None, extended_theory=None, extended_theory_limit=None, stabilized=False, echo=None)
+declare_theory(symbol=None, nameset=None, ref=None, subtitle=None, extended_theory=None, extended_theory_limit=None, stabilized=False, echo=None)

Declare a new theory in this universe-of-discourse.

Shortcut for Theory(universe_of_discourse, …).

@@ -202,17 +353,15 @@

UniverseOfDiscourse
-f(relation, *parameters, nameset=None, lock_variable_scope=None, echo=None)
+f(relation, *parameters, nameset=None, lock_variable_scope=None, echo=None)

Declare a new formula in this universe-of-discourse.

Shortcut for self.elaborate_formula(…).

-
-get_symbol_max_index(symbol)
+get_symbol_max_index(symbol)

Return the highest index for that symbol-base in the universe-of-discourse.

Return type:
@@ -220,17 +369,15 @@

UniverseOfDiscourse
-property i
+property i

A python dictionary of inference-rules contained in this universe-of-discourse, where well-known inference-rules are directly available as properties.

-
-index_symbol(symbol)
+index_symbol(symbol)

Given a symbol-base S (i.e. an unindexed symbol), returns a unique integer n such that (S, n) is a unique identifier in this instance of UniverseOfDiscourse.

@@ -245,41 +392,36 @@

UniverseOfDiscourse
-property inference_rules
+property inference_rules

A python dictionary of inference-rules contained in this universe-of-discourse, where well-known inference-rules are directly available as properties.

-
-property o: SimpleObjctDict
+property o: SimpleObjctDict

The collection of simple-objcts in this universe-of-discourse.

Unabridged version: universe_of_discourse.simple_objcts

Well-known simple-objcts are exposed as python properties. In general, a well-known simple-objct is declared in the universe-of-discourse the first time its property is accessed.

-
-property r: RelationDict
+property r: RelationDict

A python dictionary of relations contained in this universe-of-discourse, where well-known relations are directly available as properties.

-
-property relations: RelationDict
+property relations: RelationDict

A python dictionary of relations contained in this universe-of-discourse, where well-known relations are directly available as properties.

-
-property simple_objcts: SimpleObjctDict
+property simple_objcts: SimpleObjctDict

The collection of simple-objcts in this universe-of-discourse.

Abridged version: u.o

Well-known simple-objcts are exposed as python properties. In general, a well-known @@ -291,10 +433,9 @@

UniverseOfDiscourse
-t(symbol=None, nameset=None, ref=None, subtitle=None, extended_theory=None, extended_theory_limit=None, stabilized=False, echo=None)
+t(symbol=None, nameset=None, ref=None, subtitle=None, extended_theory=None, extended_theory_limit=None, stabilized=False, echo=None)

Declare a new theory in this universe-of-discourse.

Shortcut for self.declare_theory(…).

@@ -310,16 +451,14 @@

UniverseOfDiscourse
-take_note(t, content, symbol=None, index=None, auto_index=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, paragraph_header=None, ref=None, subtitle=None, nameset=None, echo=None)
+take_note(t, content, symbol=None, index=None, auto_index=None, dashed_name=None, acronym=None, abridged_name=None, name=None, explicit_name=None, paragraph_header=None, ref=None, subtitle=None, nameset=None, echo=None)

Take a note, make a comment, or remark.

-
-v(symbol=None, echo=None)
+v(symbol=None, echo=None)

Declare a free-variable in this universe-of-discourse.

This method is expected to be as in a with statement, it yields an instance of FreeVariable, @@ -329,102 +468,27 @@

UniverseOfDiscourse -

Bibliography

+

Bibliography

  • …

- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - + + + + + \ No newline at end of file diff --git a/docs/build/variable_substitution.html b/docs/build/variable_substitution.html index 1460104d..55a4b7e6 100644 --- a/docs/build/variable_substitution.html +++ b/docs/build/variable_substitution.html @@ -1,41 +1,204 @@ - - - - - - - - variable-substitution — punctilious 1.0.0 documentation - - - - - - - - - - - - - - - - - - -
-
-
- + -
- -
-

variable-substitution

+ + + + + +variable-substitution | punctilious 1.0.0 documentation + + + + + + + + +
+Skip to content +
+
+ +
+ + +
+
+
+ +
+
+
+

variable-substitution

-

Definition

+

Definition

variable-substitution is the well-known and valid inference-rule:

\[\left( P, \Phi \right) \vdash Q'\]
@@ -45,20 +208,19 @@

Definition -

Python implementation

+

Python implementation

-

VariableSubstitutionDeclaration

+

VariableSubstitutionDeclaration

-class core.VariableSubstitutionDeclaration(universe_of_discourse, echo=None)
+class core.VariableSubstitutionDeclaration(universe_of_discourse, echo=None)
-__init__(universe_of_discourse, echo=None)
+__init__(universe_of_discourse, echo=None)
-
-compose_paragraph_proof(o)
+compose_paragraph_proof(o)

Overrides the generic paragraph proof method.

Return type:
@@ -66,10 +228,9 @@

VariableSubstitutionDeclaration
-infer_formula(p, phi, t, echo=None, **kwargs)
+infer_formula(p, phi, t, echo=None, **kwargs)

Compute the formula that results from applying this inference-rule with those arguments.

Parameters:
@@ -84,30 +245,26 @@

VariableSubstitutionDeclaration
-verify_args(p, phi, t, echo=None, **kwargs)
+verify_args(p, phi, t, echo=None, **kwargs)

Verify if the arguments comply syntactically with the inference-rule.

-

-
-

VariableSubstitutionInclusion

+

VariableSubstitutionInclusion

-class core.VariableSubstitutionInclusion(t, echo=None, proof=None)
+class core.VariableSubstitutionInclusion(t, echo=None, proof=None)
-__init__(t, echo=None, proof=None)
+__init__(t, echo=None, proof=None)

Include (aka allow) an inference-rule in a theory-elaboration.

-
-infer_formula(p=None, phi=None, echo=None)
+infer_formula(p=None, phi=None, echo=None)
Parameters:
- - -
- -
-
- -
- ©2023, David Doret. - - | - Powered by Sphinx 7.1.2 - & Alabaster 0.7.13 - - | - Page source -
- - - - - + + + + + + \ No newline at end of file diff --git a/docs/source/bibliography_bibtex.bib b/docs/source/bibliography_bibtex.bib index 8b38c432..d87408d0 100644 --- a/docs/source/bibliography_bibtex.bib +++ b/docs/source/bibliography_bibtex.bib @@ -43,6 +43,17 @@ @book{mcadams_all_2014 year = {2014}, } +@book{porter_2008_handbookknowledgerepresentation, + title = {Handbook of Knowledge Representation}, + editor = {Porter, Bruce and Lifschitz, Vladimir and Van Harmelen, Frank}, + year = {2008}, + series = {Foundations of Artificial Intelligence}, + edition = {1st ed}, + publisher = {{Elsevier}}, + address = {{Amsterdam ; Boston}}, + langid = {english}, +} + @misc{proofwiki_2022_doublenegation, title = {Double Negation / Double Negation Introduction / Proof Rule}, author = {{ProofWiki}}, diff --git a/docs/source/biconditional_elimination_left.rst b/docs/source/biconditional_elimination_left.rst new file mode 100644 index 00000000..a2e62cb7 --- /dev/null +++ b/docs/source/biconditional_elimination_left.rst @@ -0,0 +1,2 @@ +biconditional-elimination-left +=============================== \ No newline at end of file diff --git a/docs/source/biconditional_elimination_right.rst b/docs/source/biconditional_elimination_right.rst new file mode 100644 index 00000000..50c67e6f --- /dev/null +++ b/docs/source/biconditional_elimination_right.rst @@ -0,0 +1,2 @@ +biconditional-elimination-right +=============================== \ No newline at end of file diff --git a/docs/source/biconditional_introduction.rst b/docs/source/biconditional_introduction.rst new file mode 100644 index 00000000..1a14ce71 --- /dev/null +++ b/docs/source/biconditional_introduction.rst @@ -0,0 +1,2 @@ +biconditional-introduction +=============================== \ No newline at end of file diff --git a/docs/source/conf.py b/docs/source/conf.py index 8bdfe1bf..89652bd1 100644 --- a/docs/source/conf.py +++ b/docs/source/conf.py @@ -18,7 +18,7 @@ # https://sphinxcontrib-bibtex.readthedocs.io/en/latest/usage.html # https://pypi.org/project/sphinxcontrib-bibtex/ extensions = ['sphinx.ext.autodoc', 'sphinx.ext.mathjax', 'sphinxcontrib.bibtex', - 'sphinx_autodoc_typehints', 'sphinx.ext.graphviz'] + 'sphinx_autodoc_typehints', 'sphinx.ext.graphviz', 'sphinxawesome_theme'] bibtex_bibfiles = ['bibliography_bibtex.bib'] bibtex_encoding = 'utf-8-sig' @@ -28,5 +28,6 @@ # -- Options for HTML output ------------------------------------------------- # https://www.sphinx-doc.org/en/master/usage/configuration.html#options-for-html-output -html_theme = 'alabaster' +# html_theme = 'alabaster' +html_theme = 'sphinxawesome_theme' html_static_path = ['_static'] diff --git a/docs/source/conjunction_elimination_left.rst b/docs/source/conjunction_elimination_left.rst new file mode 100644 index 00000000..9f5ee24c --- /dev/null +++ b/docs/source/conjunction_elimination_left.rst @@ -0,0 +1,2 @@ +conjunction-elimination-left +=============================== \ No newline at end of file diff --git a/docs/source/conjunction_elimination_right.rst b/docs/source/conjunction_elimination_right.rst new file mode 100644 index 00000000..3a59b13c --- /dev/null +++ b/docs/source/conjunction_elimination_right.rst @@ -0,0 +1,2 @@ +conjunction-elimination-right +=============================== \ No newline at end of file diff --git a/docs/source/double_negation_elimination.rst b/docs/source/double_negation_elimination.rst new file mode 100644 index 00000000..cd55ee47 --- /dev/null +++ b/docs/source/double_negation_elimination.rst @@ -0,0 +1,2 @@ +double-negation-elimination +=============================== \ No newline at end of file diff --git a/docs/source/elimination_rule.rst b/docs/source/elimination_rule.rst new file mode 100644 index 00000000..1ee0901f --- /dev/null +++ b/docs/source/elimination_rule.rst @@ -0,0 +1,28 @@ +elimination-rule +================== + +Definition +---------- + +An *introduction-rule* is an :doc:`inference_rule` that allows to derive a formula-statement of some syntactic form from some define premises. + +List of well-known *introduction-rules* +-------------------------------------- + +* :doc:`biconditional_elimination_left` +* :doc:`biconditional_elimination_right` +* :doc:`conjunction_elimination_left` +* :doc:`conjunction_elimination_right` +* :doc:`disjunction_elimination` +* :doc:`double_negation_elimination` + +Quotes +------- + + "Each of the introduction rules tells us how to derive a formula of some syntactic form. For instance, the conjunction introduction rule (∧I) shows that we can derive a conjunction if we derive both conjunctive terms; the disjunction introduction rules (∨I) show that we can derive a disjunction if we derive one of the disjunctive terms." + - :footcite:p:`porter_2008_handbookknowledgerepresentation`, p. 6-7 + +Bibliography +------------ + +.. footbibliography:: diff --git a/docs/source/index.rst b/docs/source/index.rst index 05d43cff..89d3d909 100644 --- a/docs/source/index.rst +++ b/docs/source/index.rst @@ -15,12 +15,17 @@ Welcome to punctilious's documentation! absorption bibliography + conjunction_elimination_left + conjunction_elimination_right conjunction_introduction disjunction_introduction_left disjunction_introduction_right + double_negation_elimination double_negation_introduction + elimination_rule inconsistency_by_inequality_introduction inference_rule + introduction_rule is_a meta_object modus_ponens diff --git a/docs/source/inference_rule.rst b/docs/source/inference_rule.rst index 4075ef0e..2908b22d 100644 --- a/docs/source/inference_rule.rst +++ b/docs/source/inference_rule.rst @@ -21,7 +21,8 @@ List of well-known inference-rules See also -------- -* Derivation rule +* :doc:`elimination_rule` +* :doc:`introduction_rule` Bibliography ------------ diff --git a/docs/source/introduction_rule.rst b/docs/source/introduction_rule.rst new file mode 100644 index 00000000..8266c3a0 --- /dev/null +++ b/docs/source/introduction_rule.rst @@ -0,0 +1,33 @@ +introduction-rule +================== + +Definition +---------- + +An *introduction-rule* is an :doc:`inference_rule` that allows to derive a formula-statement of some syntactic form from some define premises. + +List of well-known *introduction-rules* +-------------------------------------- + +* :doc:`biconditional_introduction` +* :doc:`conjunction_introduction` +* :doc:`disjunction_introduction_left` +* :doc:`disjunction_introduction_right` +* :doc:`double_negation_introduction` + +Quotes +------- + + "Each of the introduction rules tells us how to derive a formula of some syntactic form. For instance, the conjunction introduction rule (∧I) shows that we can derive a conjunction if we derive both conjunctive terms; the disjunction introduction rules (∨I) show that we can derive a disjunction if we derive one of the disjunctive terms." + - :footcite:p:`porter_2008_handbookknowledgerepresentation`, p. 6-7 + +See also +--------- + +* :doc:`elimination_rule` +* :doc:`inference_rule` + +Bibliography +------------ + +.. footbibliography::