Sep_Solve.thy

(*
 * Copyright 2020, Data61, CSIRO (ABN 41 687 119 230)
 *
 * SPDX-License-Identifier: BSD-2-Clause
 *)

theory Sep_Solve
imports Sep_Cancel Sep_MP
begin

ML \<open>
  fun sep_schem ctxt =
    rotator' ctxt (sep_asm_erule_select ctxt)
            (SOLVED' ((eresolve0_tac [@{thm sep_conj_sep_impl2}] THEN'
                      (FIRST' [assume_tac ctxt, resolve0_tac [@{thm TrueI}], sep_cancel_tactic' ctxt true]
                       |> REPEAT_ALL_NEW))))

  fun sep_solve_tactic ctxt  =
  let
    val truei = resolve0_tac [@{thm TrueI}]
    fun sep_cancel_rotating i =
      sep_select_tactic (sep_asm_select ctxt) [1] ctxt i THEN_ELSE
      (rotator' ctxt (sep_asm_select ctxt)
         (FIRST' [assume_tac ctxt, truei, sep_cancel_tactic' ctxt false, eresolve0_tac [@{thm sep_conj_sep_impl}]]
          |> REPEAT_ALL_NEW |> SOLVED') i,
       SOLVED' (FIRST' [assume_tac ctxt, truei, sep_cancel_tactic' ctxt false, eresolve0_tac [@{thm sep_conj_sep_impl}]]
          |> REPEAT_ALL_NEW) i)
    val sep_cancel_tac =
      FIRST' [assume_tac ctxt, truei, sep_cancel_tactic' ctxt false, eresolve0_tac [@{thm sep_conj_sep_impl}]]
      |> REPEAT_ALL_NEW
  in
    (DETERM o SOLVED' (FIRST' [assume_tac ctxt,truei, sep_cancel_tac])) ORELSE'
    (SOLVED' ((TRY o CHANGED_PROP o sep_mp_solver ctxt) THEN_ALL_NEW sep_cancel_rotating))
    |> SOLVED'
  end

  fun sep_solve_method _ ctxt = SIMPLE_METHOD' (sep_solve_tactic ctxt)
  fun sep_schem_method _ ctxt = SIMPLE_METHOD' (sep_schem ctxt)
\<close>

method_setup sep_solve = \<open>sep_cancel_syntax >> sep_solve_method\<close>
method_setup sep_schem = \<open>sep_cancel_syntax >> sep_schem_method\<close>

end