author | wenzelm |
Wed, 04 Mar 2015 19:53:18 +0100 | |
changeset 59582 | 0fbed69ff081 |
parent 59498 | 50b60f501b05 |
child 59936 | b8ffc3dc9e24 |
permissions | -rw-r--r-- |
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(* Title: Provers/classical.ML |
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Author: Lawrence C Paulson, Cambridge University Computer Laboratory |
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Theorem prover for classical reasoning, including predicate calculus, set |
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theory, etc. |
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Rules must be classified as intro, elim, safe, hazardous (unsafe). |
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A rule is unsafe unless it can be applied blindly without harmful results. |
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For a rule to be safe, its premises and conclusion should be logically |
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equivalent. There should be no variables in the premises that are not in |
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the conclusion. |
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*) |
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(*higher precedence than := facilitates use of references*) |
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infix 4 addSIs addSEs addSDs addIs addEs addDs delrules |
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addSWrapper delSWrapper addWrapper delWrapper |
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addSbefore addSafter addbefore addafter |
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addD2 addE2 addSD2 addSE2; |
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signature CLASSICAL_DATA = |
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sig |
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val imp_elim: thm (* P --> Q ==> (~ R ==> P) ==> (Q ==> R) ==> R *) |
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val not_elim: thm (* ~P ==> P ==> R *) |
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val swap: thm (* ~ P ==> (~ R ==> P) ==> R *) |
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val classical: thm (* (~ P ==> P) ==> P *) |
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val sizef: thm -> int (* size function for BEST_FIRST, typically size_of_thm *) |
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val hyp_subst_tacs: (Proof.context -> int -> tactic) list (* optional tactics for |
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substitution in the hypotheses; assumed to be safe! *) |
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end; |
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signature BASIC_CLASSICAL = |
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sig |
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type wrapper = (int -> tactic) -> int -> tactic |
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type claset |
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val print_claset: Proof.context -> unit |
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val addDs: Proof.context * thm list -> Proof.context |
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val addEs: Proof.context * thm list -> Proof.context |
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val addIs: Proof.context * thm list -> Proof.context |
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val addSDs: Proof.context * thm list -> Proof.context |
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val addSEs: Proof.context * thm list -> Proof.context |
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val addSIs: Proof.context * thm list -> Proof.context |
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val delrules: Proof.context * thm list -> Proof.context |
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val addSWrapper: Proof.context * (string * (Proof.context -> wrapper)) -> Proof.context |
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val delSWrapper: Proof.context * string -> Proof.context |
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val addWrapper: Proof.context * (string * (Proof.context -> wrapper)) -> Proof.context |
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val delWrapper: Proof.context * string -> Proof.context |
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val addSbefore: Proof.context * (string * (Proof.context -> int -> tactic)) -> Proof.context |
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val addSafter: Proof.context * (string * (Proof.context -> int -> tactic)) -> Proof.context |
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val addbefore: Proof.context * (string * (Proof.context -> int -> tactic)) -> Proof.context |
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val addafter: Proof.context * (string * (Proof.context -> int -> tactic)) -> Proof.context |
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val addD2: Proof.context * (string * thm) -> Proof.context |
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val addE2: Proof.context * (string * thm) -> Proof.context |
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val addSD2: Proof.context * (string * thm) -> Proof.context |
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val addSE2: Proof.context * (string * thm) -> Proof.context |
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val appSWrappers: Proof.context -> wrapper |
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val appWrappers: Proof.context -> wrapper |
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val claset_of: Proof.context -> claset |
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val put_claset: claset -> Proof.context -> Proof.context |
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val map_theory_claset: (Proof.context -> Proof.context) -> theory -> theory |
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val fast_tac: Proof.context -> int -> tactic |
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val slow_tac: Proof.context -> int -> tactic |
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val astar_tac: Proof.context -> int -> tactic |
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val slow_astar_tac: Proof.context -> int -> tactic |
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val best_tac: Proof.context -> int -> tactic |
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val first_best_tac: Proof.context -> int -> tactic |
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val slow_best_tac: Proof.context -> int -> tactic |
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val depth_tac: Proof.context -> int -> int -> tactic |
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val deepen_tac: Proof.context -> int -> int -> tactic |
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val contr_tac: Proof.context -> int -> tactic |
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val dup_elim: Context.generic option -> thm -> thm |
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val dup_intr: thm -> thm |
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val dup_step_tac: Proof.context -> int -> tactic |
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val eq_mp_tac: Proof.context -> int -> tactic |
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val haz_step_tac: Proof.context -> int -> tactic |
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val joinrules: thm list * thm list -> (bool * thm) list |
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val mp_tac: Proof.context -> int -> tactic |
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val safe_tac: Proof.context -> tactic |
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val safe_steps_tac: Proof.context -> int -> tactic |
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val safe_step_tac: Proof.context -> int -> tactic |
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val clarify_tac: Proof.context -> int -> tactic |
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val clarify_step_tac: Proof.context -> int -> tactic |
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val step_tac: Proof.context -> int -> tactic |
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val slow_step_tac: Proof.context -> int -> tactic |
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val swapify: thm list -> thm list |
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val swap_res_tac: Proof.context -> thm list -> int -> tactic |
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val inst_step_tac: Proof.context -> int -> tactic |
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val inst0_step_tac: Proof.context -> int -> tactic |
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val instp_step_tac: Proof.context -> int -> tactic |
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end; |
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signature CLASSICAL = |
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sig |
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include BASIC_CLASSICAL |
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val classical_rule: thm -> thm |
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type netpair = (int * (bool * thm)) Net.net * (int * (bool * thm)) Net.net |
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val rep_cs: claset -> |
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{safeIs: thm Item_Net.T, |
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safeEs: thm Item_Net.T, |
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hazIs: thm Item_Net.T, |
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hazEs: thm Item_Net.T, |
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swrappers: (string * (Proof.context -> wrapper)) list, |
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uwrappers: (string * (Proof.context -> wrapper)) list, |
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safe0_netpair: netpair, |
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safep_netpair: netpair, |
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haz_netpair: netpair, |
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dup_netpair: netpair, |
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xtra_netpair: Context_Rules.netpair} |
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val get_cs: Context.generic -> claset |
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val map_cs: (claset -> claset) -> Context.generic -> Context.generic |
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val safe_dest: int option -> attribute |
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val safe_elim: int option -> attribute |
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val safe_intro: int option -> attribute |
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val haz_dest: int option -> attribute |
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val haz_elim: int option -> attribute |
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val haz_intro: int option -> attribute |
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val rule_del: attribute |
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val cla_modifiers: Method.modifier parser list |
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val cla_method: |
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(Proof.context -> tactic) -> (Proof.context -> Proof.method) context_parser |
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val cla_method': |
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(Proof.context -> int -> tactic) -> (Proof.context -> Proof.method) context_parser |
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end; |
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functor Classical(Data: CLASSICAL_DATA): CLASSICAL = |
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struct |
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(** classical elimination rules **) |
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(* |
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Classical reasoning requires stronger elimination rules. For |
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instance, make_elim of Pure transforms the HOL rule injD into |
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[| inj f; f x = f y; x = y ==> PROP W |] ==> PROP W |
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Such rules can cause fast_tac to fail and blast_tac to report "PROOF |
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FAILED"; classical_rule will strengthen this to |
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[| inj f; ~ W ==> f x = f y; x = y ==> W |] ==> W |
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*) |
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fun classical_rule rule = |
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if is_some (Object_Logic.elim_concl rule) then |
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let |
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val rule' = rule RS Data.classical; |
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val concl' = Thm.concl_of rule'; |
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fun redundant_hyp goal = |
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concl' aconv Logic.strip_assums_concl goal orelse |
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(case Logic.strip_assums_hyp goal of |
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hyp :: hyps => exists (fn t => t aconv hyp) hyps |
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| _ => false); |
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val rule'' = |
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rule' |> ALLGOALS (SUBGOAL (fn (goal, i) => |
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if i = 1 orelse redundant_hyp goal |
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then eresolve0_tac [thin_rl] i |
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else all_tac)) |
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|> Seq.hd |
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|> Drule.zero_var_indexes; |
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in if Thm.equiv_thm (rule, rule'') then rule else rule'' end |
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else rule; |
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(*flatten nested meta connectives in prems*) |
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fun flat_rule opt_context th = |
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let |
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val ctxt = |
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(case opt_context of |
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NONE => Proof_Context.init_global (Thm.theory_of_thm th) |
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| SOME context => Context.proof_of context); |
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in Conv.fconv_rule (Conv.prems_conv ~1 (Object_Logic.atomize_prems ctxt)) th end; |
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(*** Useful tactics for classical reasoning ***) |
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(*Prove goal that assumes both P and ~P. |
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No backtracking if it finds an equal assumption. Perhaps should call |
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ematch_tac instead of eresolve_tac, but then cannot prove ZF/cantor.*) |
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fun contr_tac ctxt = |
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eresolve_tac ctxt [Data.not_elim] THEN' (eq_assume_tac ORELSE' assume_tac ctxt); |
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(*Finds P-->Q and P in the assumptions, replaces implication by Q. |
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Could do the same thing for P<->Q and P... *) |
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fun mp_tac ctxt i = |
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eresolve_tac ctxt [Data.not_elim, Data.imp_elim] i THEN assume_tac ctxt i; |
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(*Like mp_tac but instantiates no variables*) |
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fun eq_mp_tac ctxt i = ematch_tac ctxt [Data.not_elim, Data.imp_elim] i THEN eq_assume_tac i; |
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(*Creates rules to eliminate ~A, from rules to introduce A*) |
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pass imp_elim (instead of mp) and swap explicitly -- avoids store_thm;
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fun swapify intrs = intrs RLN (2, [Data.swap]); |
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val swapped = Thm.rule_attribute (fn _ => fn th => th RSN (2, Data.swap)); |
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(*Uses introduction rules in the normal way, or on negated assumptions, |
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trying rules in order. *) |
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proper context for assume_tac (atac remains as fall-back without context);
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58958
diff
changeset
|
199 |
fun swap_res_tac ctxt rls = |
42792 | 200 |
let fun addrl rl brls = (false, rl) :: (true, rl RSN (2, Data.swap)) :: brls in |
58963
26bf09b95dda
proper context for assume_tac (atac remains as fall-back without context);
wenzelm
parents:
58958
diff
changeset
|
201 |
assume_tac ctxt ORELSE' |
26bf09b95dda
proper context for assume_tac (atac remains as fall-back without context);
wenzelm
parents:
58958
diff
changeset
|
202 |
contr_tac ctxt ORELSE' |
59498
50b60f501b05
proper context for resolve_tac, eresolve_tac, dresolve_tac, forward_tac etc.;
wenzelm
parents:
59164
diff
changeset
|
203 |
biresolve_tac ctxt (fold_rev addrl rls []) |
42792 | 204 |
end; |
0 | 205 |
|
681
9b02474744ca
Provers/classical: now takes theorem "classical" as argument, proves "swap"
lcp
parents:
469
diff
changeset
|
206 |
(*Duplication of hazardous rules, for complete provers*) |
42792 | 207 |
fun dup_intr th = zero_var_indexes (th RS Data.classical); |
681
9b02474744ca
Provers/classical: now takes theorem "classical" as argument, proves "swap"
lcp
parents:
469
diff
changeset
|
208 |
|
58958 | 209 |
fun dup_elim context th = |
36546 | 210 |
let |
58958 | 211 |
val ctxt = |
212 |
(case context of |
|
213 |
SOME c => Context.proof_of c |
|
214 |
| NONE => Proof_Context.init_global (Thm.theory_of_thm th)); |
|
215 |
val rl = (th RSN (2, revcut_rl)) |> Thm.assumption (SOME ctxt) 2 |> Seq.hd; |
|
59498
50b60f501b05
proper context for resolve_tac, eresolve_tac, dresolve_tac, forward_tac etc.;
wenzelm
parents:
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diff
changeset
|
216 |
in rule_by_tactic ctxt (TRYALL (eresolve_tac ctxt [revcut_rl])) rl end; |
36546 | 217 |
|
1073
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Recoded addSIs, etc., so that nets are built incrementally
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changeset
|
218 |
|
1800 | 219 |
(**** Classical rule sets ****) |
0 | 220 |
|
42812 | 221 |
type netpair = (int * (bool * thm)) Net.net * (int * (bool * thm)) Net.net; |
222 |
type wrapper = (int -> tactic) -> int -> tactic; |
|
223 |
||
0 | 224 |
datatype claset = |
42793 | 225 |
CS of |
42810
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parents:
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diff
changeset
|
226 |
{safeIs : thm Item_Net.T, (*safe introduction rules*) |
2425068fe13a
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parents:
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changeset
|
227 |
safeEs : thm Item_Net.T, (*safe elimination rules*) |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
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parents:
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diff
changeset
|
228 |
hazIs : thm Item_Net.T, (*unsafe introduction rules*) |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
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parents:
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changeset
|
229 |
hazEs : thm Item_Net.T, (*unsafe elimination rules*) |
42793 | 230 |
swrappers : (string * (Proof.context -> wrapper)) list, (*for transforming safe_step_tac*) |
231 |
uwrappers : (string * (Proof.context -> wrapper)) list, (*for transforming step_tac*) |
|
232 |
safe0_netpair : netpair, (*nets for trivial cases*) |
|
233 |
safep_netpair : netpair, (*nets for >0 subgoals*) |
|
234 |
haz_netpair : netpair, (*nets for unsafe rules*) |
|
235 |
dup_netpair : netpair, (*nets for duplication*) |
|
236 |
xtra_netpair : Context_Rules.netpair}; (*nets for extra rules*) |
|
0 | 237 |
|
6502 | 238 |
val empty_netpair = (Net.empty, Net.empty); |
239 |
||
10736 | 240 |
val empty_cs = |
42793 | 241 |
CS |
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slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
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parents:
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diff
changeset
|
242 |
{safeIs = Thm.full_rules, |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
243 |
safeEs = Thm.full_rules, |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
244 |
hazIs = Thm.full_rules, |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
245 |
hazEs = Thm.full_rules, |
42793 | 246 |
swrappers = [], |
247 |
uwrappers = [], |
|
248 |
safe0_netpair = empty_netpair, |
|
249 |
safep_netpair = empty_netpair, |
|
250 |
haz_netpair = empty_netpair, |
|
251 |
dup_netpair = empty_netpair, |
|
252 |
xtra_netpair = empty_netpair}; |
|
0 | 253 |
|
4653 | 254 |
fun rep_cs (CS args) = args; |
1073
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Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
255 |
|
4079
9df5e4f22d96
new implicit claset mechanism based on Sign.sg anytype data;
wenzelm
parents:
4066
diff
changeset
|
256 |
|
1800 | 257 |
(*** Adding (un)safe introduction or elimination rules. |
1073
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
258 |
|
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
259 |
In case of overlap, new rules are tried BEFORE old ones!! |
1800 | 260 |
***) |
0 | 261 |
|
12376
480303e3fa08
simplified (and clarified) integration with Pure/ContextRules;
wenzelm
parents:
12362
diff
changeset
|
262 |
(*For use with biresolve_tac. Combines intro rules with swap to handle negated |
1073
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
263 |
assumptions. Pairs elim rules with true. *) |
12376
480303e3fa08
simplified (and clarified) integration with Pure/ContextRules;
wenzelm
parents:
12362
diff
changeset
|
264 |
fun joinrules (intrs, elims) = |
18557
60a0f9caa0a2
Provers/classical: stricter checks to ensure that supplied intro, dest and
paulson
parents:
18534
diff
changeset
|
265 |
(map (pair true) (elims @ swapify intrs)) @ map (pair false) intrs; |
12376
480303e3fa08
simplified (and clarified) integration with Pure/ContextRules;
wenzelm
parents:
12362
diff
changeset
|
266 |
|
12401 | 267 |
fun joinrules' (intrs, elims) = |
18557
60a0f9caa0a2
Provers/classical: stricter checks to ensure that supplied intro, dest and
paulson
parents:
18534
diff
changeset
|
268 |
map (pair true) elims @ map (pair false) intrs; |
1073
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
269 |
|
10736 | 270 |
(*Priority: prefer rules with fewest subgoals, |
1231 | 271 |
then rules added most recently (preferring the head of the list).*) |
1073
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
272 |
fun tag_brls k [] = [] |
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
273 |
| tag_brls k (brl::brls) = |
10736 | 274 |
(1000000*subgoals_of_brl brl + k, brl) :: |
1073
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
275 |
tag_brls (k+1) brls; |
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
276 |
|
12401 | 277 |
fun tag_brls' _ _ [] = [] |
278 |
| tag_brls' w k (brl::brls) = ((w, k), brl) :: tag_brls' w (k + 1) brls; |
|
10736 | 279 |
|
23178 | 280 |
fun insert_tagged_list rls = fold_rev Tactic.insert_tagged_brl rls; |
1073
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
281 |
|
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
282 |
(*Insert into netpair that already has nI intr rules and nE elim rules. |
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
283 |
Count the intr rules double (to account for swapify). Negate to give the |
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
284 |
new insertions the lowest priority.*) |
12376
480303e3fa08
simplified (and clarified) integration with Pure/ContextRules;
wenzelm
parents:
12362
diff
changeset
|
285 |
fun insert (nI, nE) = insert_tagged_list o (tag_brls (~(2*nI+nE))) o joinrules; |
12401 | 286 |
fun insert' w (nI, nE) = insert_tagged_list o tag_brls' w (~(nI + nE)) o joinrules'; |
1073
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
287 |
|
23178 | 288 |
fun delete_tagged_list rls = fold_rev Tactic.delete_tagged_brl rls; |
12362 | 289 |
fun delete x = delete_tagged_list (joinrules x); |
12401 | 290 |
fun delete' x = delete_tagged_list (joinrules' x); |
1800 | 291 |
|
42793 | 292 |
fun string_of_thm NONE = Display.string_of_thm_without_context |
42817 | 293 |
| string_of_thm (SOME context) = Display.string_of_thm (Context.proof_of context); |
42793 | 294 |
|
295 |
fun make_elim context th = |
|
296 |
if has_fewer_prems 1 th then |
|
297 |
error ("Ill-formed destruction rule\n" ^ string_of_thm context th) |
|
298 |
else Tactic.make_elim th; |
|
42790 | 299 |
|
52699 | 300 |
fun warn_thm (SOME (Context.Proof ctxt)) msg th = |
57859
29e728588163
more careful treatment of context visibility for rule declarations (see also 39d9c7f175e0, e639d91d9073) -- avoid duplicate warnings;
wenzelm
parents:
56334
diff
changeset
|
301 |
if Context_Position.is_really_visible ctxt |
52699 | 302 |
then warning (msg ^ Display.string_of_thm ctxt th) else () |
303 |
| warn_thm _ _ _ = (); |
|
42793 | 304 |
|
42807
e639d91d9073
more precise warnings: observe context visibility;
wenzelm
parents:
42799
diff
changeset
|
305 |
fun warn_rules context msg rules th = |
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
306 |
Item_Net.member rules th andalso (warn_thm context msg th; true); |
42807
e639d91d9073
more precise warnings: observe context visibility;
wenzelm
parents:
42799
diff
changeset
|
307 |
|
e639d91d9073
more precise warnings: observe context visibility;
wenzelm
parents:
42799
diff
changeset
|
308 |
fun warn_claset context th (CS {safeIs, safeEs, hazIs, hazEs, ...}) = |
e639d91d9073
more precise warnings: observe context visibility;
wenzelm
parents:
42799
diff
changeset
|
309 |
warn_rules context "Rule already declared as safe introduction (intro!)\n" safeIs th orelse |
e639d91d9073
more precise warnings: observe context visibility;
wenzelm
parents:
42799
diff
changeset
|
310 |
warn_rules context "Rule already declared as safe elimination (elim!)\n" safeEs th orelse |
e639d91d9073
more precise warnings: observe context visibility;
wenzelm
parents:
42799
diff
changeset
|
311 |
warn_rules context "Rule already declared as introduction (intro)\n" hazIs th orelse |
e639d91d9073
more precise warnings: observe context visibility;
wenzelm
parents:
42799
diff
changeset
|
312 |
warn_rules context "Rule already declared as elimination (elim)\n" hazEs th; |
1927
6f97cb16e453
New classical reasoner: warns of, and ignores, redundant rules.
paulson
parents:
1814
diff
changeset
|
313 |
|
12376
480303e3fa08
simplified (and clarified) integration with Pure/ContextRules;
wenzelm
parents:
12362
diff
changeset
|
314 |
|
1800 | 315 |
(*** Safe rules ***) |
982
4fe0b642b7d5
Addition of wrappers for integration with the simplifier.
lcp
parents:
747
diff
changeset
|
316 |
|
42793 | 317 |
fun addSI w context th |
42790 | 318 |
(cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, |
319 |
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = |
|
42807
e639d91d9073
more precise warnings: observe context visibility;
wenzelm
parents:
42799
diff
changeset
|
320 |
if warn_rules context "Ignoring duplicate safe introduction (intro!)\n" safeIs th then cs |
1927
6f97cb16e453
New classical reasoner: warns of, and ignores, redundant rules.
paulson
parents:
1814
diff
changeset
|
321 |
else |
42790 | 322 |
let |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
323 |
val th' = flat_rule context th; |
23594
e65e466dda01
renamed ObjectLogic.atomize_tac to ObjectLogic.atomize_prems_tac;
wenzelm
parents:
23178
diff
changeset
|
324 |
val (safe0_rls, safep_rls) = (*0 subgoals vs 1 or more*) |
42790 | 325 |
List.partition Thm.no_prems [th']; |
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
326 |
val nI = Item_Net.length safeIs + 1; |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
327 |
val nE = Item_Net.length safeEs; |
42807
e639d91d9073
more precise warnings: observe context visibility;
wenzelm
parents:
42799
diff
changeset
|
328 |
val _ = warn_claset context th cs; |
42790 | 329 |
in |
330 |
CS |
|
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
331 |
{safeIs = Item_Net.update th safeIs, |
1073
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
332 |
safe0_netpair = insert (nI,nE) (safe0_rls, []) safe0_netpair, |
9938 | 333 |
safep_netpair = insert (nI,nE) (safep_rls, []) safep_netpair, |
42790 | 334 |
safeEs = safeEs, |
335 |
hazIs = hazIs, |
|
336 |
hazEs = hazEs, |
|
337 |
swrappers = swrappers, |
|
338 |
uwrappers = uwrappers, |
|
339 |
haz_netpair = haz_netpair, |
|
340 |
dup_netpair = dup_netpair, |
|
18691 | 341 |
xtra_netpair = insert' (the_default 0 w) (nI,nE) ([th], []) xtra_netpair} |
42790 | 342 |
end; |
1073
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
343 |
|
42793 | 344 |
fun addSE w context th |
42790 | 345 |
(cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, |
346 |
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = |
|
42807
e639d91d9073
more precise warnings: observe context visibility;
wenzelm
parents:
42799
diff
changeset
|
347 |
if warn_rules context "Ignoring duplicate safe elimination (elim!)\n" safeEs th then cs |
18557
60a0f9caa0a2
Provers/classical: stricter checks to ensure that supplied intro, dest and
paulson
parents:
18534
diff
changeset
|
348 |
else if has_fewer_prems 1 th then |
42793 | 349 |
error ("Ill-formed elimination rule\n" ^ string_of_thm context th) |
1927
6f97cb16e453
New classical reasoner: warns of, and ignores, redundant rules.
paulson
parents:
1814
diff
changeset
|
350 |
else |
42790 | 351 |
let |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
352 |
val th' = classical_rule (flat_rule context th); |
18534
6799b38ed872
added classical_rule, which replaces Data.make_elim;
wenzelm
parents:
18374
diff
changeset
|
353 |
val (safe0_rls, safep_rls) = (*0 subgoals vs 1 or more*) |
59582 | 354 |
List.partition (fn rl => Thm.nprems_of rl=1) [th']; |
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
355 |
val nI = Item_Net.length safeIs; |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
356 |
val nE = Item_Net.length safeEs + 1; |
42807
e639d91d9073
more precise warnings: observe context visibility;
wenzelm
parents:
42799
diff
changeset
|
357 |
val _ = warn_claset context th cs; |
42790 | 358 |
in |
359 |
CS |
|
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
360 |
{safeEs = Item_Net.update th safeEs, |
1073
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
361 |
safe0_netpair = insert (nI,nE) ([], safe0_rls) safe0_netpair, |
9938 | 362 |
safep_netpair = insert (nI,nE) ([], safep_rls) safep_netpair, |
42790 | 363 |
safeIs = safeIs, |
364 |
hazIs = hazIs, |
|
365 |
hazEs = hazEs, |
|
366 |
swrappers = swrappers, |
|
367 |
uwrappers = uwrappers, |
|
368 |
haz_netpair = haz_netpair, |
|
369 |
dup_netpair = dup_netpair, |
|
18691 | 370 |
xtra_netpair = insert' (the_default 0 w) (nI,nE) ([], [th]) xtra_netpair} |
42790 | 371 |
end; |
0 | 372 |
|
42793 | 373 |
fun addSD w context th = addSE w context (make_elim context th); |
374 |
||
1073
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
375 |
|
1800 | 376 |
(*** Hazardous (unsafe) rules ***) |
0 | 377 |
|
42793 | 378 |
fun addI w context th |
42790 | 379 |
(cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, |
380 |
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = |
|
42807
e639d91d9073
more precise warnings: observe context visibility;
wenzelm
parents:
42799
diff
changeset
|
381 |
if warn_rules context "Ignoring duplicate introduction (intro)\n" hazIs th then cs |
1927
6f97cb16e453
New classical reasoner: warns of, and ignores, redundant rules.
paulson
parents:
1814
diff
changeset
|
382 |
else |
42790 | 383 |
let |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
384 |
val th' = flat_rule context th; |
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
385 |
val nI = Item_Net.length hazIs + 1; |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
386 |
val nE = Item_Net.length hazEs; |
42807
e639d91d9073
more precise warnings: observe context visibility;
wenzelm
parents:
42799
diff
changeset
|
387 |
val _ = warn_claset context th cs; |
42790 | 388 |
in |
389 |
CS |
|
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
390 |
{hazIs = Item_Net.update th hazIs, |
42790 | 391 |
haz_netpair = insert (nI, nE) ([th'], []) haz_netpair, |
392 |
dup_netpair = insert (nI, nE) ([dup_intr th'], []) dup_netpair, |
|
393 |
safeIs = safeIs, |
|
394 |
safeEs = safeEs, |
|
395 |
hazEs = hazEs, |
|
396 |
swrappers = swrappers, |
|
397 |
uwrappers = uwrappers, |
|
9938 | 398 |
safe0_netpair = safe0_netpair, |
399 |
safep_netpair = safep_netpair, |
|
42790 | 400 |
xtra_netpair = insert' (the_default 1 w) (nI, nE) ([th], []) xtra_netpair} |
401 |
end |
|
402 |
handle THM ("RSN: no unifiers", _, _) => (*from dup_intr*) (* FIXME !? *) |
|
42793 | 403 |
error ("Ill-formed introduction rule\n" ^ string_of_thm context th); |
1073
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
404 |
|
42793 | 405 |
fun addE w context th |
42790 | 406 |
(cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, |
407 |
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = |
|
42807
e639d91d9073
more precise warnings: observe context visibility;
wenzelm
parents:
42799
diff
changeset
|
408 |
if warn_rules context "Ignoring duplicate elimination (elim)\n" hazEs th then cs |
18557
60a0f9caa0a2
Provers/classical: stricter checks to ensure that supplied intro, dest and
paulson
parents:
18534
diff
changeset
|
409 |
else if has_fewer_prems 1 th then |
42793 | 410 |
error ("Ill-formed elimination rule\n" ^ string_of_thm context th) |
1927
6f97cb16e453
New classical reasoner: warns of, and ignores, redundant rules.
paulson
parents:
1814
diff
changeset
|
411 |
else |
42790 | 412 |
let |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
413 |
val th' = classical_rule (flat_rule context th); |
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
414 |
val nI = Item_Net.length hazIs; |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
415 |
val nE = Item_Net.length hazEs + 1; |
42807
e639d91d9073
more precise warnings: observe context visibility;
wenzelm
parents:
42799
diff
changeset
|
416 |
val _ = warn_claset context th cs; |
42790 | 417 |
in |
418 |
CS |
|
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
419 |
{hazEs = Item_Net.update th hazEs, |
42790 | 420 |
haz_netpair = insert (nI, nE) ([], [th']) haz_netpair, |
58958 | 421 |
dup_netpair = insert (nI, nE) ([], [dup_elim context th']) dup_netpair, |
42790 | 422 |
safeIs = safeIs, |
423 |
safeEs = safeEs, |
|
424 |
hazIs = hazIs, |
|
425 |
swrappers = swrappers, |
|
426 |
uwrappers = uwrappers, |
|
9938 | 427 |
safe0_netpair = safe0_netpair, |
428 |
safep_netpair = safep_netpair, |
|
42790 | 429 |
xtra_netpair = insert' (the_default 1 w) (nI, nE) ([], [th]) xtra_netpair} |
430 |
end; |
|
0 | 431 |
|
42793 | 432 |
fun addD w context th = addE w context (make_elim context th); |
433 |
||
0 | 434 |
|
1073
b3f190995bc9
Recoded addSIs, etc., so that nets are built incrementally
lcp
parents:
1010
diff
changeset
|
435 |
|
10736 | 436 |
(*** Deletion of rules |
1800 | 437 |
Working out what to delete, requires repeating much of the code used |
9938 | 438 |
to insert. |
1800 | 439 |
***) |
440 |
||
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
441 |
fun delSI context th |
42790 | 442 |
(cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, |
443 |
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = |
|
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
444 |
if Item_Net.member safeIs th then |
18534
6799b38ed872
added classical_rule, which replaces Data.make_elim;
wenzelm
parents:
18374
diff
changeset
|
445 |
let |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
446 |
val th' = flat_rule context th; |
42790 | 447 |
val (safe0_rls, safep_rls) = List.partition Thm.no_prems [th']; |
448 |
in |
|
449 |
CS |
|
450 |
{safe0_netpair = delete (safe0_rls, []) safe0_netpair, |
|
451 |
safep_netpair = delete (safep_rls, []) safep_netpair, |
|
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
452 |
safeIs = Item_Net.remove th safeIs, |
42790 | 453 |
safeEs = safeEs, |
454 |
hazIs = hazIs, |
|
455 |
hazEs = hazEs, |
|
456 |
swrappers = swrappers, |
|
457 |
uwrappers = uwrappers, |
|
458 |
haz_netpair = haz_netpair, |
|
459 |
dup_netpair = dup_netpair, |
|
460 |
xtra_netpair = delete' ([th], []) xtra_netpair} |
|
18534
6799b38ed872
added classical_rule, which replaces Data.make_elim;
wenzelm
parents:
18374
diff
changeset
|
461 |
end |
6799b38ed872
added classical_rule, which replaces Data.make_elim;
wenzelm
parents:
18374
diff
changeset
|
462 |
else cs; |
1800 | 463 |
|
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
464 |
fun delSE context th |
42790 | 465 |
(cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, |
466 |
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = |
|
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
467 |
if Item_Net.member safeEs th then |
42790 | 468 |
let |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
469 |
val th' = classical_rule (flat_rule context th); |
59582 | 470 |
val (safe0_rls, safep_rls) = List.partition (fn rl => Thm.nprems_of rl = 1) [th']; |
42790 | 471 |
in |
472 |
CS |
|
473 |
{safe0_netpair = delete ([], safe0_rls) safe0_netpair, |
|
474 |
safep_netpair = delete ([], safep_rls) safep_netpair, |
|
475 |
safeIs = safeIs, |
|
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
476 |
safeEs = Item_Net.remove th safeEs, |
42790 | 477 |
hazIs = hazIs, |
478 |
hazEs = hazEs, |
|
479 |
swrappers = swrappers, |
|
480 |
uwrappers = uwrappers, |
|
481 |
haz_netpair = haz_netpair, |
|
482 |
dup_netpair = dup_netpair, |
|
483 |
xtra_netpair = delete' ([], [th]) xtra_netpair} |
|
484 |
end |
|
485 |
else cs; |
|
1800 | 486 |
|
42793 | 487 |
fun delI context th |
42790 | 488 |
(cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, |
489 |
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = |
|
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
490 |
if Item_Net.member hazIs th then |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
491 |
let val th' = flat_rule context th in |
42790 | 492 |
CS |
493 |
{haz_netpair = delete ([th'], []) haz_netpair, |
|
23594
e65e466dda01
renamed ObjectLogic.atomize_tac to ObjectLogic.atomize_prems_tac;
wenzelm
parents:
23178
diff
changeset
|
494 |
dup_netpair = delete ([dup_intr th'], []) dup_netpair, |
42790 | 495 |
safeIs = safeIs, |
496 |
safeEs = safeEs, |
|
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
497 |
hazIs = Item_Net.remove th hazIs, |
42790 | 498 |
hazEs = hazEs, |
499 |
swrappers = swrappers, |
|
500 |
uwrappers = uwrappers, |
|
9938 | 501 |
safe0_netpair = safe0_netpair, |
502 |
safep_netpair = safep_netpair, |
|
12401 | 503 |
xtra_netpair = delete' ([th], []) xtra_netpair} |
23594
e65e466dda01
renamed ObjectLogic.atomize_tac to ObjectLogic.atomize_prems_tac;
wenzelm
parents:
23178
diff
changeset
|
504 |
end |
42790 | 505 |
else cs |
506 |
handle THM ("RSN: no unifiers", _, _) => (*from dup_intr*) (* FIXME !? *) |
|
42793 | 507 |
error ("Ill-formed introduction rule\n" ^ string_of_thm context th); |
1800 | 508 |
|
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
509 |
fun delE context th |
42790 | 510 |
(cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, |
511 |
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = |
|
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
512 |
if Item_Net.member hazEs th then |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
513 |
let val th' = classical_rule (flat_rule context th) in |
42790 | 514 |
CS |
515 |
{haz_netpair = delete ([], [th']) haz_netpair, |
|
58958 | 516 |
dup_netpair = delete ([], [dup_elim context th']) dup_netpair, |
42790 | 517 |
safeIs = safeIs, |
518 |
safeEs = safeEs, |
|
519 |
hazIs = hazIs, |
|
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
520 |
hazEs = Item_Net.remove th hazEs, |
42790 | 521 |
swrappers = swrappers, |
522 |
uwrappers = uwrappers, |
|
9938 | 523 |
safe0_netpair = safe0_netpair, |
524 |
safep_netpair = safep_netpair, |
|
12401 | 525 |
xtra_netpair = delete' ([], [th]) xtra_netpair} |
42790 | 526 |
end |
527 |
else cs; |
|
1800 | 528 |
|
2813
cc4c816dafdc
delrules now deletes ALL occurrences of a rule, since it may appear in any of
paulson
parents:
2689
diff
changeset
|
529 |
(*Delete ALL occurrences of "th" in the claset (perhaps from several lists)*) |
42793 | 530 |
fun delrule context th (cs as CS {safeIs, safeEs, hazIs, hazEs, ...}) = |
531 |
let val th' = Tactic.make_elim th in |
|
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
532 |
if Item_Net.member safeIs th orelse Item_Net.member safeEs th orelse |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
533 |
Item_Net.member hazIs th orelse Item_Net.member hazEs th orelse |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
534 |
Item_Net.member safeEs th' orelse Item_Net.member hazEs th' |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
535 |
then |
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
536 |
delSI context th |
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
537 |
(delSE context th |
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
538 |
(delI context th |
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
539 |
(delE context th (delSE context th' (delE context th' cs))))) |
42807
e639d91d9073
more precise warnings: observe context visibility;
wenzelm
parents:
42799
diff
changeset
|
540 |
else (warn_thm context "Undeclared classical rule\n" th; cs) |
9938 | 541 |
end; |
1800 | 542 |
|
543 |
||
42793 | 544 |
|
545 |
(** claset data **) |
|
42790 | 546 |
|
42793 | 547 |
(* wrappers *) |
42790 | 548 |
|
22674 | 549 |
fun map_swrappers f |
550 |
(CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, |
|
551 |
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = |
|
552 |
CS {safeIs = safeIs, safeEs = safeEs, hazIs = hazIs, hazEs = hazEs, |
|
4767
b9f3468c6ee2
introduced functions for updating the wrapper lists
oheimb
parents:
4765
diff
changeset
|
553 |
swrappers = f swrappers, uwrappers = uwrappers, |
b9f3468c6ee2
introduced functions for updating the wrapper lists
oheimb
parents:
4765
diff
changeset
|
554 |
safe0_netpair = safe0_netpair, safep_netpair = safep_netpair, |
6955 | 555 |
haz_netpair = haz_netpair, dup_netpair = dup_netpair, xtra_netpair = xtra_netpair}; |
4767
b9f3468c6ee2
introduced functions for updating the wrapper lists
oheimb
parents:
4765
diff
changeset
|
556 |
|
22674 | 557 |
fun map_uwrappers f |
42793 | 558 |
(CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, |
22674 | 559 |
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = |
560 |
CS {safeIs = safeIs, safeEs = safeEs, hazIs = hazIs, hazEs = hazEs, |
|
4767
b9f3468c6ee2
introduced functions for updating the wrapper lists
oheimb
parents:
4765
diff
changeset
|
561 |
swrappers = swrappers, uwrappers = f uwrappers, |
b9f3468c6ee2
introduced functions for updating the wrapper lists
oheimb
parents:
4765
diff
changeset
|
562 |
safe0_netpair = safe0_netpair, safep_netpair = safep_netpair, |
6955 | 563 |
haz_netpair = haz_netpair, dup_netpair = dup_netpair, xtra_netpair = xtra_netpair}; |
4767
b9f3468c6ee2
introduced functions for updating the wrapper lists
oheimb
parents:
4765
diff
changeset
|
564 |
|
22674 | 565 |
|
42793 | 566 |
(* merge_cs *) |
982
4fe0b642b7d5
Addition of wrappers for integration with the simplifier.
lcp
parents:
747
diff
changeset
|
567 |
|
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
568 |
(*Merge works by adding all new rules of the 2nd claset into the 1st claset, |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
569 |
in order to preserve priorities reliably.*) |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
570 |
|
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
571 |
fun merge_thms add thms1 thms2 = |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
572 |
fold_rev (fn thm => if Item_Net.member thms1 thm then I else add thm) (Item_Net.content thms2); |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
573 |
|
22674 | 574 |
fun merge_cs (cs as CS {safeIs, safeEs, hazIs, hazEs, ...}, |
24358 | 575 |
cs' as CS {safeIs = safeIs2, safeEs = safeEs2, hazIs = hazIs2, hazEs = hazEs2, |
22674 | 576 |
swrappers, uwrappers, ...}) = |
24358 | 577 |
if pointer_eq (cs, cs') then cs |
578 |
else |
|
42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
579 |
cs |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
580 |
|> merge_thms (addSI NONE NONE) safeIs safeIs2 |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
581 |
|> merge_thms (addSE NONE NONE) safeEs safeEs2 |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
582 |
|> merge_thms (addI NONE NONE) hazIs hazIs2 |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
583 |
|> merge_thms (addE NONE NONE) hazEs hazEs2 |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
584 |
|> map_swrappers (fn ws => AList.merge (op =) (K true) (ws, swrappers)) |
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset
|
585 |
|> map_uwrappers (fn ws => AList.merge (op =) (K true) (ws, uwrappers)); |
42793 | 586 |
|
587 |
||
588 |
(* data *) |
|
589 |
||
590 |
structure Claset = Generic_Data |
|
591 |
( |
|
592 |
type T = claset; |
|
593 |
val empty = empty_cs; |
|
594 |
val extend = I; |
|
595 |
val merge = merge_cs; |
|
596 |
); |
|
597 |
||
598 |
val claset_of = Claset.get o Context.Proof; |
|
599 |
val rep_claset_of = rep_cs o claset_of; |
|
600 |
||
601 |
val get_cs = Claset.get; |
|
602 |
val map_cs = Claset.map; |
|
603 |
||
51703
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset
|
604 |
fun map_theory_claset f thy = |
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset
|
605 |
let |
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset
|
606 |
val ctxt' = f (Proof_Context.init_global thy); |
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset
|
607 |
val thy' = Proof_Context.theory_of ctxt'; |
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset
|
608 |
in Context.theory_map (Claset.map (K (claset_of ctxt'))) thy' end; |
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset
|
609 |
|
42793 | 610 |
fun map_claset f = Context.proof_map (map_cs f); |
611 |
fun put_claset cs = map_claset (K cs); |
|
612 |
||
613 |
fun print_claset ctxt = |
|
614 |
let |
|
615 |
val {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, ...} = rep_claset_of ctxt; |
|
51584 | 616 |
val pretty_thms = map (Display.pretty_thm_item ctxt) o Item_Net.content; |
42793 | 617 |
in |
618 |
[Pretty.big_list "safe introduction rules (intro!):" (pretty_thms safeIs), |
|
619 |
Pretty.big_list "introduction rules (intro):" (pretty_thms hazIs), |
|
620 |
Pretty.big_list "safe elimination rules (elim!):" (pretty_thms safeEs), |
|
621 |
Pretty.big_list "elimination rules (elim):" (pretty_thms hazEs), |
|
622 |
Pretty.strs ("safe wrappers:" :: map #1 swrappers), |
|
623 |
Pretty.strs ("unsafe wrappers:" :: map #1 uwrappers)] |
|
56334
6b3739fee456
some shortcuts for chunks, which sometimes avoid bulky string output;
wenzelm
parents:
54742
diff
changeset
|
624 |
|> Pretty.writeln_chunks |
42793 | 625 |
end; |
626 |
||
627 |
||
628 |
(* old-style declarations *) |
|
629 |
||
630 |
fun decl f (ctxt, ths) = map_claset (fold_rev (f (SOME (Context.Proof ctxt))) ths) ctxt; |
|
631 |
||
632 |
val op addSIs = decl (addSI NONE); |
|
633 |
val op addSEs = decl (addSE NONE); |
|
634 |
val op addSDs = decl (addSD NONE); |
|
635 |
val op addIs = decl (addI NONE); |
|
636 |
val op addEs = decl (addE NONE); |
|
637 |
val op addDs = decl (addD NONE); |
|
638 |
val op delrules = decl delrule; |
|
639 |
||
640 |
||
641 |
||
642 |
(*** Modifying the wrapper tacticals ***) |
|
643 |
||
644 |
fun appSWrappers ctxt = fold (fn (_, w) => w ctxt) (#swrappers (rep_claset_of ctxt)); |
|
645 |
fun appWrappers ctxt = fold (fn (_, w) => w ctxt) (#uwrappers (rep_claset_of ctxt)); |
|
646 |
||
647 |
fun update_warn msg (p as (key : string, _)) xs = |
|
648 |
(if AList.defined (op =) xs key then warning msg else (); AList.update (op =) p xs); |
|
649 |
||
650 |
fun delete_warn msg (key : string) xs = |
|
651 |
if AList.defined (op =) xs key then AList.delete (op =) key xs |
|
652 |
else (warning msg; xs); |
|
653 |
||
654 |
(*Add/replace a safe wrapper*) |
|
51703
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset
|
655 |
fun ctxt addSWrapper new_swrapper = ctxt |> map_claset |
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset
|
656 |
(map_swrappers (update_warn ("Overwriting safe wrapper " ^ fst new_swrapper) new_swrapper)); |
42793 | 657 |
|
658 |
(*Add/replace an unsafe wrapper*) |
|
51703
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset
|
659 |
fun ctxt addWrapper new_uwrapper = ctxt |> map_claset |
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset
|
660 |
(map_uwrappers (update_warn ("Overwriting unsafe wrapper " ^ fst new_uwrapper) new_uwrapper)); |
42793 | 661 |
|
662 |
(*Remove a safe wrapper*) |
|
51703
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset
|
663 |
fun ctxt delSWrapper name = ctxt |> map_claset |
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset
|
664 |
(map_swrappers (delete_warn ("No such safe wrapper in claset: " ^ name) name)); |
42793 | 665 |
|
666 |
(*Remove an unsafe wrapper*) |
|
51703
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset
|
667 |
fun ctxt delWrapper name = ctxt |> map_claset |
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset
|
668 |
(map_uwrappers (delete_warn ("No such unsafe wrapper in claset: " ^ name) name)); |
42793 | 669 |
|
670 |
(* compose a safe tactic alternatively before/after safe_step_tac *) |
|
51717
9e7d1c139569
simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents:
51703
diff
changeset
|
671 |
fun ctxt addSbefore (name, tac1) = |
9e7d1c139569
simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents:
51703
diff
changeset
|
672 |
ctxt addSWrapper (name, fn ctxt => fn tac2 => tac1 ctxt ORELSE' tac2); |
9e7d1c139569
simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents:
51703
diff
changeset
|
673 |
fun ctxt addSafter (name, tac2) = |
9e7d1c139569
simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents:
51703
diff
changeset
|
674 |
ctxt addSWrapper (name, fn ctxt => fn tac1 => tac1 ORELSE' tac2 ctxt); |
42793 | 675 |
|
676 |
(*compose a tactic alternatively before/after the step tactic *) |
|
51717
9e7d1c139569
simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents:
51703
diff
changeset
|
677 |
fun ctxt addbefore (name, tac1) = |
9e7d1c139569
simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents:
51703
diff
changeset
|
678 |
ctxt addWrapper (name, fn ctxt => fn tac2 => tac1 ctxt APPEND' tac2); |
9e7d1c139569
simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents:
51703
diff
changeset
|
679 |
fun ctxt addafter (name, tac2) = |
9e7d1c139569
simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents:
51703
diff
changeset
|
680 |
ctxt addWrapper (name, fn ctxt => fn tac1 => tac1 APPEND' tac2 ctxt); |
42793 | 681 |
|
58957 | 682 |
fun ctxt addD2 (name, thm) = |
59498
50b60f501b05
proper context for resolve_tac, eresolve_tac, dresolve_tac, forward_tac etc.;
wenzelm
parents:
59164
diff
changeset
|
683 |
ctxt addafter (name, fn ctxt' => dresolve_tac ctxt' [thm] THEN' assume_tac ctxt'); |
58957 | 684 |
fun ctxt addE2 (name, thm) = |
59498
50b60f501b05
proper context for resolve_tac, eresolve_tac, dresolve_tac, forward_tac etc.;
wenzelm
parents:
59164
diff
changeset
|
685 |
ctxt addafter (name, fn ctxt' => eresolve_tac ctxt' [thm] THEN' assume_tac ctxt'); |
58957 | 686 |
fun ctxt addSD2 (name, thm) = |
687 |
ctxt addSafter (name, fn ctxt' => dmatch_tac ctxt' [thm] THEN' eq_assume_tac); |
|
688 |
fun ctxt addSE2 (name, thm) = |
|
689 |
ctxt addSafter (name, fn ctxt' => ematch_tac ctxt' [thm] THEN' eq_assume_tac); |
|
42793 | 690 |
|
1711 | 691 |
|
982
4fe0b642b7d5
Addition of wrappers for integration with the simplifier.
lcp
parents:
747
diff
changeset
|
692 |
|
1800 | 693 |
(**** Simple tactics for theorem proving ****) |
0 | 694 |
|
695 |
(*Attack subgoals using safe inferences -- matching, not resolution*) |
|
42793 | 696 |
fun safe_step_tac ctxt = |
697 |
let val {safe0_netpair, safep_netpair, ...} = rep_claset_of ctxt in |
|
698 |
appSWrappers ctxt |
|
699 |
(FIRST' |
|
700 |
[eq_assume_tac, |
|
58957 | 701 |
eq_mp_tac ctxt, |
59164 | 702 |
bimatch_from_nets_tac ctxt safe0_netpair, |
51798 | 703 |
FIRST' (map (fn tac => tac ctxt) Data.hyp_subst_tacs), |
59164 | 704 |
bimatch_from_nets_tac ctxt safep_netpair]) |
42793 | 705 |
end; |
0 | 706 |
|
5757 | 707 |
(*Repeatedly attack a subgoal using safe inferences -- it's deterministic!*) |
42793 | 708 |
fun safe_steps_tac ctxt = |
709 |
REPEAT_DETERM1 o (fn i => COND (has_fewer_prems i) no_tac (safe_step_tac ctxt i)); |
|
5757 | 710 |
|
0 | 711 |
(*Repeatedly attack subgoals using safe inferences -- it's deterministic!*) |
42793 | 712 |
fun safe_tac ctxt = REPEAT_DETERM1 (FIRSTGOAL (safe_steps_tac ctxt)); |
747
bdc066781063
deepen_tac: modified due to outcome of experiments. Its
lcp
parents:
681
diff
changeset
|
713 |
|
3705
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset
|
714 |
|
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset
|
715 |
(*** Clarify_tac: do safe steps without causing branching ***) |
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset
|
716 |
|
42790 | 717 |
fun nsubgoalsP n (k, brl) = (subgoals_of_brl brl = n); |
3705
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset
|
718 |
|
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset
|
719 |
(*version of bimatch_from_nets_tac that only applies rules that |
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset
|
720 |
create precisely n subgoals.*) |
59164 | 721 |
fun n_bimatch_from_nets_tac ctxt n = |
722 |
biresolution_from_nets_tac ctxt (order_list o filter (nsubgoalsP n)) true; |
|
3705
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset
|
723 |
|
58957 | 724 |
fun eq_contr_tac ctxt i = ematch_tac ctxt [Data.not_elim] i THEN eq_assume_tac i; |
725 |
fun eq_assume_contr_tac ctxt = eq_assume_tac ORELSE' eq_contr_tac ctxt; |
|
3705
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset
|
726 |
|
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset
|
727 |
(*Two-way branching is allowed only if one of the branches immediately closes*) |
58957 | 728 |
fun bimatch2_tac ctxt netpair i = |
59164 | 729 |
n_bimatch_from_nets_tac ctxt 2 netpair i THEN |
58957 | 730 |
(eq_assume_contr_tac ctxt i ORELSE eq_assume_contr_tac ctxt (i + 1)); |
3705
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset
|
731 |
|
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset
|
732 |
(*Attack subgoals using safe inferences -- matching, not resolution*) |
42793 | 733 |
fun clarify_step_tac ctxt = |
734 |
let val {safe0_netpair, safep_netpair, ...} = rep_claset_of ctxt in |
|
735 |
appSWrappers ctxt |
|
736 |
(FIRST' |
|
58957 | 737 |
[eq_assume_contr_tac ctxt, |
59164 | 738 |
bimatch_from_nets_tac ctxt safe0_netpair, |
51798 | 739 |
FIRST' (map (fn tac => tac ctxt) Data.hyp_subst_tacs), |
59164 | 740 |
n_bimatch_from_nets_tac ctxt 1 safep_netpair, |
58957 | 741 |
bimatch2_tac ctxt safep_netpair]) |
42793 | 742 |
end; |
3705
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset
|
743 |
|
42793 | 744 |
fun clarify_tac ctxt = SELECT_GOAL (REPEAT_DETERM (clarify_step_tac ctxt 1)); |
3705
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset
|
745 |
|
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset
|
746 |
|
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset
|
747 |
(*** Unsafe steps instantiate variables or lose information ***) |
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset
|
748 |
|
4066 | 749 |
(*Backtracking is allowed among the various these unsafe ways of |
750 |
proving a subgoal. *) |
|
42793 | 751 |
fun inst0_step_tac ctxt = |
58963
26bf09b95dda
proper context for assume_tac (atac remains as fall-back without context);
wenzelm
parents:
58958
diff
changeset
|
752 |
assume_tac ctxt APPEND' |
26bf09b95dda
proper context for assume_tac (atac remains as fall-back without context);
wenzelm
parents:
58958
diff
changeset
|
753 |
contr_tac ctxt APPEND' |
59164 | 754 |
biresolve_from_nets_tac ctxt (#safe0_netpair (rep_claset_of ctxt)); |
747
bdc066781063
deepen_tac: modified due to outcome of experiments. Its
lcp
parents:
681
diff
changeset
|
755 |
|
4066 | 756 |
(*These unsafe steps could generate more subgoals.*) |
42793 | 757 |
fun instp_step_tac ctxt = |
59164 | 758 |
biresolve_from_nets_tac ctxt (#safep_netpair (rep_claset_of ctxt)); |
0 | 759 |
|
760 |
(*These steps could instantiate variables and are therefore unsafe.*) |
|
42793 | 761 |
fun inst_step_tac ctxt = inst0_step_tac ctxt APPEND' instp_step_tac ctxt; |
0 | 762 |
|
42793 | 763 |
fun haz_step_tac ctxt = |
59164 | 764 |
biresolve_from_nets_tac ctxt (#haz_netpair (rep_claset_of ctxt)); |
681
9b02474744ca
Provers/classical: now takes theorem "classical" as argument, proves "swap"
lcp
parents:
469
diff
changeset
|
765 |
|
0 | 766 |
(*Single step for the prover. FAILS unless it makes progress. *) |
42793 | 767 |
fun step_tac ctxt i = |
768 |
safe_tac ctxt ORELSE appWrappers ctxt (inst_step_tac ctxt ORELSE' haz_step_tac ctxt) i; |
|
0 | 769 |
|
770 |
(*Using a "safe" rule to instantiate variables is unsafe. This tactic |
|
771 |
allows backtracking from "safe" rules to "unsafe" rules here.*) |
|
42793 | 772 |
fun slow_step_tac ctxt i = |
773 |
safe_tac ctxt ORELSE appWrappers ctxt (inst_step_tac ctxt APPEND' haz_step_tac ctxt) i; |
|
0 | 774 |
|
42791
36f787ae5f70
eliminated weight_ASTAR: int Unsynchronized.ref (astar_tac appears to be obsolete anyway);
wenzelm
parents:
42790
diff
changeset
|
775 |
|
1800 | 776 |
(**** The following tactics all fail unless they solve one goal ****) |
0 | 777 |
|
778 |
(*Dumb but fast*) |
|
42793 | 779 |
fun fast_tac ctxt = |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
780 |
Object_Logic.atomize_prems_tac ctxt THEN' SELECT_GOAL (DEPTH_SOLVE (step_tac ctxt 1)); |
0 | 781 |
|
782 |
(*Slower but smarter than fast_tac*) |
|
42793 | 783 |
fun best_tac ctxt = |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
784 |
Object_Logic.atomize_prems_tac ctxt THEN' |
42793 | 785 |
SELECT_GOAL (BEST_FIRST (has_fewer_prems 1, Data.sizef) (step_tac ctxt 1)); |
0 | 786 |
|
9402 | 787 |
(*even a bit smarter than best_tac*) |
42793 | 788 |
fun first_best_tac ctxt = |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
789 |
Object_Logic.atomize_prems_tac ctxt THEN' |
42793 | 790 |
SELECT_GOAL (BEST_FIRST (has_fewer_prems 1, Data.sizef) (FIRSTGOAL (step_tac ctxt))); |
9402 | 791 |
|
42793 | 792 |
fun slow_tac ctxt = |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
793 |
Object_Logic.atomize_prems_tac ctxt THEN' |
42793 | 794 |
SELECT_GOAL (DEPTH_SOLVE (slow_step_tac ctxt 1)); |
0 | 795 |
|
42793 | 796 |
fun slow_best_tac ctxt = |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
797 |
Object_Logic.atomize_prems_tac ctxt THEN' |
42793 | 798 |
SELECT_GOAL (BEST_FIRST (has_fewer_prems 1, Data.sizef) (slow_step_tac ctxt 1)); |
0 | 799 |
|
681
9b02474744ca
Provers/classical: now takes theorem "classical" as argument, proves "swap"
lcp
parents:
469
diff
changeset
|
800 |
|
10736 | 801 |
(***ASTAR with weight weight_ASTAR, by Norbert Voelker*) |
42791
36f787ae5f70
eliminated weight_ASTAR: int Unsynchronized.ref (astar_tac appears to be obsolete anyway);
wenzelm
parents:
42790
diff
changeset
|
802 |
|
36f787ae5f70
eliminated weight_ASTAR: int Unsynchronized.ref (astar_tac appears to be obsolete anyway);
wenzelm
parents:
42790
diff
changeset
|
803 |
val weight_ASTAR = 5; |
1587
e7d8a4957bac
Now provides astar versions (thanks to Norbert Voelker)
paulson
parents:
1524
diff
changeset
|
804 |
|
42793 | 805 |
fun astar_tac ctxt = |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
806 |
Object_Logic.atomize_prems_tac ctxt THEN' |
10382
1fb807260ff1
atomize: all automated tactics that "solve" goals;
wenzelm
parents:
10309
diff
changeset
|
807 |
SELECT_GOAL |
52462
a241826ed003
actually use Data.sizef, not hardwired size_of_thm;
wenzelm
parents:
51798
diff
changeset
|
808 |
(ASTAR (has_fewer_prems 1, fn lev => fn thm => Data.sizef thm + weight_ASTAR * lev) |
42793 | 809 |
(step_tac ctxt 1)); |
1587
e7d8a4957bac
Now provides astar versions (thanks to Norbert Voelker)
paulson
parents:
1524
diff
changeset
|
810 |
|
42793 | 811 |
fun slow_astar_tac ctxt = |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
812 |
Object_Logic.atomize_prems_tac ctxt THEN' |
10382
1fb807260ff1
atomize: all automated tactics that "solve" goals;
wenzelm
parents:
10309
diff
changeset
|
813 |
SELECT_GOAL |
52462
a241826ed003
actually use Data.sizef, not hardwired size_of_thm;
wenzelm
parents:
51798
diff
changeset
|
814 |
(ASTAR (has_fewer_prems 1, fn lev => fn thm => Data.sizef thm + weight_ASTAR * lev) |
42793 | 815 |
(slow_step_tac ctxt 1)); |
1587
e7d8a4957bac
Now provides astar versions (thanks to Norbert Voelker)
paulson
parents:
1524
diff
changeset
|
816 |
|
42790 | 817 |
|
1800 | 818 |
(**** Complete tactic, loosely based upon LeanTaP. This tactic is the outcome |
747
bdc066781063
deepen_tac: modified due to outcome of experiments. Its
lcp
parents:
681
diff
changeset
|
819 |
of much experimentation! Changing APPEND to ORELSE below would prove |
bdc066781063
deepen_tac: modified due to outcome of experiments. Its
lcp
parents:
681
diff
changeset
|
820 |
easy theorems faster, but loses completeness -- and many of the harder |
1800 | 821 |
theorems such as 43. ****) |
681
9b02474744ca
Provers/classical: now takes theorem "classical" as argument, proves "swap"
lcp
parents:
469
diff
changeset
|
822 |
|
747
bdc066781063
deepen_tac: modified due to outcome of experiments. Its
lcp
parents:
681
diff
changeset
|
823 |
(*Non-deterministic! Could always expand the first unsafe connective. |
bdc066781063
deepen_tac: modified due to outcome of experiments. Its
lcp
parents:
681
diff
changeset
|
824 |
That's hard to implement and did not perform better in experiments, due to |
bdc066781063
deepen_tac: modified due to outcome of experiments. Its
lcp
parents:
681
diff
changeset
|
825 |
greater search depth required.*) |
42793 | 826 |
fun dup_step_tac ctxt = |
59164 | 827 |
biresolve_from_nets_tac ctxt (#dup_netpair (rep_claset_of ctxt)); |
681
9b02474744ca
Provers/classical: now takes theorem "classical" as argument, proves "swap"
lcp
parents:
469
diff
changeset
|
828 |
|
5523 | 829 |
(*Searching to depth m. A variant called nodup_depth_tac appears in clasimp.ML*) |
5757 | 830 |
local |
42793 | 831 |
fun slow_step_tac' ctxt = appWrappers ctxt (instp_step_tac ctxt APPEND' dup_step_tac ctxt); |
42790 | 832 |
in |
42793 | 833 |
fun depth_tac ctxt m i state = SELECT_GOAL |
834 |
(safe_steps_tac ctxt 1 THEN_ELSE |
|
835 |
(DEPTH_SOLVE (depth_tac ctxt m 1), |
|
836 |
inst0_step_tac ctxt 1 APPEND COND (K (m = 0)) no_tac |
|
837 |
(slow_step_tac' ctxt 1 THEN DEPTH_SOLVE (depth_tac ctxt (m - 1) 1)))) i state; |
|
5757 | 838 |
end; |
747
bdc066781063
deepen_tac: modified due to outcome of experiments. Its
lcp
parents:
681
diff
changeset
|
839 |
|
10736 | 840 |
(*Search, with depth bound m. |
2173 | 841 |
This is the "entry point", which does safe inferences first.*) |
42793 | 842 |
fun safe_depth_tac ctxt m = SUBGOAL (fn (prem, i) => |
843 |
let |
|
844 |
val deti = (*No Vars in the goal? No need to backtrack between goals.*) |
|
845 |
if exists_subterm (fn Var _ => true | _ => false) prem then DETERM else I; |
|
42790 | 846 |
in |
42793 | 847 |
SELECT_GOAL (TRY (safe_tac ctxt) THEN DEPTH_SOLVE (deti (depth_tac ctxt m 1))) i |
42790 | 848 |
end); |
681
9b02474744ca
Provers/classical: now takes theorem "classical" as argument, proves "swap"
lcp
parents:
469
diff
changeset
|
849 |
|
42793 | 850 |
fun deepen_tac ctxt = DEEPEN (2, 10) (safe_depth_tac ctxt); |
24021 | 851 |
|
852 |
||
5885 | 853 |
(* attributes *) |
854 |
||
42793 | 855 |
fun attrib f = |
856 |
Thm.declaration_attribute (fn th => fn context => map_cs (f (SOME context) th) context); |
|
5885 | 857 |
|
18691 | 858 |
val safe_elim = attrib o addSE; |
859 |
val safe_intro = attrib o addSI; |
|
42793 | 860 |
val safe_dest = attrib o addSD; |
18691 | 861 |
val haz_elim = attrib o addE; |
862 |
val haz_intro = attrib o addI; |
|
42793 | 863 |
val haz_dest = attrib o addD; |
45375
7fe19930dfc9
more explicit representation of rule_attribute vs. declaration_attribute vs. mixed_attribute;
wenzelm
parents:
42817
diff
changeset
|
864 |
|
7fe19930dfc9
more explicit representation of rule_attribute vs. declaration_attribute vs. mixed_attribute;
wenzelm
parents:
42817
diff
changeset
|
865 |
val rule_del = |
7fe19930dfc9
more explicit representation of rule_attribute vs. declaration_attribute vs. mixed_attribute;
wenzelm
parents:
42817
diff
changeset
|
866 |
Thm.declaration_attribute (fn th => fn context => |
7fe19930dfc9
more explicit representation of rule_attribute vs. declaration_attribute vs. mixed_attribute;
wenzelm
parents:
42817
diff
changeset
|
867 |
context |> map_cs (delrule (SOME context) th) |> |
7fe19930dfc9
more explicit representation of rule_attribute vs. declaration_attribute vs. mixed_attribute;
wenzelm
parents:
42817
diff
changeset
|
868 |
Thm.attribute_declaration Context_Rules.rule_del th); |
5885 | 869 |
|
870 |
||
5841 | 871 |
|
5885 | 872 |
(** concrete syntax of attributes **) |
5841 | 873 |
|
874 |
val introN = "intro"; |
|
875 |
val elimN = "elim"; |
|
876 |
val destN = "dest"; |
|
877 |
||
58826 | 878 |
val _ = |
879 |
Theory.setup |
|
880 |
(Attrib.setup @{binding swapped} (Scan.succeed swapped) |
|
881 |
"classical swap of introduction rule" #> |
|
882 |
Attrib.setup @{binding dest} (Context_Rules.add safe_dest haz_dest Context_Rules.dest_query) |
|
883 |
"declaration of Classical destruction rule" #> |
|
884 |
Attrib.setup @{binding elim} (Context_Rules.add safe_elim haz_elim Context_Rules.elim_query) |
|
885 |
"declaration of Classical elimination rule" #> |
|
886 |
Attrib.setup @{binding intro} (Context_Rules.add safe_intro haz_intro Context_Rules.intro_query) |
|
887 |
"declaration of Classical introduction rule" #> |
|
888 |
Attrib.setup @{binding rule} (Scan.lift Args.del >> K rule_del) |
|
889 |
"remove declaration of intro/elim/dest rule"); |
|
5841 | 890 |
|
891 |
||
892 |
||
7230 | 893 |
(** proof methods **) |
894 |
||
895 |
local |
|
896 |
||
30609
983e8b6e4e69
Disposed old declarations, tactics, tactic combinators that refer to the simpset or claset of an implicit theory;
wenzelm
parents:
30558
diff
changeset
|
897 |
fun some_rule_tac ctxt facts = SUBGOAL (fn (goal, i) => |
5841 | 898 |
let |
33369 | 899 |
val [rules1, rules2, rules4] = Context_Rules.find_rules false facts goal ctxt; |
42793 | 900 |
val {xtra_netpair, ...} = rep_claset_of ctxt; |
33369 | 901 |
val rules3 = Context_Rules.find_rules_netpair true facts goal xtra_netpair; |
12376
480303e3fa08
simplified (and clarified) integration with Pure/ContextRules;
wenzelm
parents:
12362
diff
changeset
|
902 |
val rules = rules1 @ rules2 @ rules3 @ rules4; |
58950
d07464875dd4
optional proof context for unify operations, for the sake of proper local options;
wenzelm
parents:
58893
diff
changeset
|
903 |
val ruleq = Drule.multi_resolves (SOME ctxt) facts rules; |
52732 | 904 |
val _ = Method.trace ctxt rules; |
12376
480303e3fa08
simplified (and clarified) integration with Pure/ContextRules;
wenzelm
parents:
12362
diff
changeset
|
905 |
in |
59498
50b60f501b05
proper context for resolve_tac, eresolve_tac, dresolve_tac, forward_tac etc.;
wenzelm
parents:
59164
diff
changeset
|
906 |
fn st => Seq.maps (fn rule => resolve_tac ctxt [rule] i st) ruleq |
18834 | 907 |
end) |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
908 |
THEN_ALL_NEW Goal.norm_hhf_tac ctxt; |
5841 | 909 |
|
30609
983e8b6e4e69
Disposed old declarations, tactics, tactic combinators that refer to the simpset or claset of an implicit theory;
wenzelm
parents:
30558
diff
changeset
|
910 |
in |
7281 | 911 |
|
30609
983e8b6e4e69
Disposed old declarations, tactics, tactic combinators that refer to the simpset or claset of an implicit theory;
wenzelm
parents:
30558
diff
changeset
|
912 |
fun rule_tac ctxt [] facts = some_rule_tac ctxt facts |
54742
7a86358a3c0b
proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents:
52732
diff
changeset
|
913 |
| rule_tac ctxt rules facts = Method.rule_tac ctxt rules facts; |
30609
983e8b6e4e69
Disposed old declarations, tactics, tactic combinators that refer to the simpset or claset of an implicit theory;
wenzelm
parents:
30558
diff
changeset
|
914 |
|
983e8b6e4e69
Disposed old declarations, tactics, tactic combinators that refer to the simpset or claset of an implicit theory;
wenzelm
parents:
30558
diff
changeset
|
915 |
fun default_tac ctxt rules facts = |
983e8b6e4e69
Disposed old declarations, tactics, tactic combinators that refer to the simpset or claset of an implicit theory;
wenzelm
parents:
30558
diff
changeset
|
916 |
HEADGOAL (rule_tac ctxt rules facts) ORELSE |
26470 | 917 |
Class.default_intro_tac ctxt facts; |
10309 | 918 |
|
7230 | 919 |
end; |
5841 | 920 |
|
921 |
||
6502 | 922 |
(* automatic methods *) |
5841 | 923 |
|
5927 | 924 |
val cla_modifiers = |
58048
aa6296d09e0e
more explicit Method.modifier with reported position;
wenzelm
parents:
57859
diff
changeset
|
925 |
[Args.$$$ destN -- Args.bang_colon >> K (Method.modifier (safe_dest NONE) @{here}), |
aa6296d09e0e
more explicit Method.modifier with reported position;
wenzelm
parents:
57859
diff
changeset
|
926 |
Args.$$$ destN -- Args.colon >> K (Method.modifier (haz_dest NONE) @{here}), |
aa6296d09e0e
more explicit Method.modifier with reported position;
wenzelm
parents:
57859
diff
changeset
|
927 |
Args.$$$ elimN -- Args.bang_colon >> K (Method.modifier (safe_elim NONE) @{here}), |
aa6296d09e0e
more explicit Method.modifier with reported position;
wenzelm
parents:
57859
diff
changeset
|
928 |
Args.$$$ elimN -- Args.colon >> K (Method.modifier (haz_elim NONE) @{here}), |
aa6296d09e0e
more explicit Method.modifier with reported position;
wenzelm
parents:
57859
diff
changeset
|
929 |
Args.$$$ introN -- Args.bang_colon >> K (Method.modifier (safe_intro NONE) @{here}), |
aa6296d09e0e
more explicit Method.modifier with reported position;
wenzelm
parents:
57859
diff
changeset
|
930 |
Args.$$$ introN -- Args.colon >> K (Method.modifier (haz_intro NONE) @{here}), |
aa6296d09e0e
more explicit Method.modifier with reported position;
wenzelm
parents:
57859
diff
changeset
|
931 |
Args.del -- Args.colon >> K (Method.modifier rule_del @{here})]; |
5927 | 932 |
|
42793 | 933 |
fun cla_method tac = Method.sections cla_modifiers >> K (SIMPLE_METHOD o tac); |
934 |
fun cla_method' tac = Method.sections cla_modifiers >> K (SIMPLE_METHOD' o tac); |
|
5841 | 935 |
|
936 |
||
937 |
||
58826 | 938 |
(** method setup **) |
5841 | 939 |
|
58826 | 940 |
val _ = |
941 |
Theory.setup |
|
942 |
(Method.setup @{binding default} |
|
943 |
(Attrib.thms >> (fn rules => fn ctxt => METHOD (default_tac ctxt rules))) |
|
944 |
"apply some intro/elim rule (potentially classical)" #> |
|
945 |
Method.setup @{binding rule} |
|
946 |
(Attrib.thms >> (fn rules => fn ctxt => METHOD (HEADGOAL o rule_tac ctxt rules))) |
|
947 |
"apply some intro/elim rule (potentially classical)" #> |
|
948 |
Method.setup @{binding contradiction} |
|
949 |
(Scan.succeed (fn ctxt => Method.rule ctxt [Data.not_elim, Drule.rotate_prems 1 Data.not_elim])) |
|
950 |
"proof by contradiction" #> |
|
951 |
Method.setup @{binding clarify} (cla_method' (CHANGED_PROP oo clarify_tac)) |
|
952 |
"repeatedly apply safe steps" #> |
|
953 |
Method.setup @{binding fast} (cla_method' fast_tac) "classical prover (depth-first)" #> |
|
954 |
Method.setup @{binding slow} (cla_method' slow_tac) "classical prover (slow depth-first)" #> |
|
955 |
Method.setup @{binding best} (cla_method' best_tac) "classical prover (best-first)" #> |
|
956 |
Method.setup @{binding deepen} |
|
957 |
(Scan.lift (Scan.optional Parse.nat 4) --| Method.sections cla_modifiers |
|
958 |
>> (fn n => fn ctxt => SIMPLE_METHOD' (deepen_tac ctxt n))) |
|
959 |
"classical prover (iterative deepening)" #> |
|
960 |
Method.setup @{binding safe} (cla_method (CHANGED_PROP o safe_tac)) |
|
961 |
"classical prover (apply safe rules)" #> |
|
962 |
Method.setup @{binding safe_step} (cla_method' safe_step_tac) |
|
963 |
"single classical step (safe rules)" #> |
|
964 |
Method.setup @{binding inst_step} (cla_method' inst_step_tac) |
|
965 |
"single classical step (safe rules, allow instantiations)" #> |
|
966 |
Method.setup @{binding step} (cla_method' step_tac) |
|
967 |
"single classical step (safe and unsafe rules)" #> |
|
968 |
Method.setup @{binding slow_step} (cla_method' slow_step_tac) |
|
969 |
"single classical step (safe and unsafe rules, allow backtracking)" #> |
|
970 |
Method.setup @{binding clarify_step} (cla_method' clarify_step_tac) |
|
971 |
"single classical step (safe rules, without splitting)"); |
|
5841 | 972 |
|
8667 | 973 |
|
974 |
(** outer syntax **) |
|
975 |
||
24867 | 976 |
val _ = |
58893
9e0ecb66d6a7
eliminated unused int_only flag (see also c12484a27367);
wenzelm
parents:
58838
diff
changeset
|
977 |
Outer_Syntax.command @{command_spec "print_claset"} "print context of Classical Reasoner" |
51658
21c10672633b
discontinued Toplevel.no_timing complication -- also recovers timing of diagnostic commands, e.g. 'find_theorems';
wenzelm
parents:
51584
diff
changeset
|
978 |
(Scan.succeed (Toplevel.unknown_context o Toplevel.keep (print_claset o Toplevel.context_of))); |
8667 | 979 |
|
5841 | 980 |
end; |