author  wenzelm 
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permissions  rwrr 
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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: (int > tactic) list (* optional tactics for substitution in 

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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 * (int > tactic)) > Proof.context 
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val addSafter: Proof.context * (string * (int > tactic)) > Proof.context 
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val addbefore: Proof.context * (string * (int > tactic)) > Proof.context 
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val addafter: Proof.context * (string * (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 map_claset: (claset > claset) > Proof.context > Proof.context 
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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: int > tactic 
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val dup_elim: 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: 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: 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: 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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val setup: theory > theory 
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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 strenthen 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 Tactic.etac 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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val flat_rule = Conv.fconv_rule (Conv.prems_conv ~1 Object_Logic.atomize_prems); 
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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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val contr_tac = 
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eresolve_tac [Data.not_elim] THEN' (eq_assume_tac ORELSE' assume_tac); 

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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 i = eresolve_tac [Data.not_elim, Data.imp_elim] i THEN assume_tac i; 
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(*Like mp_tac but instantiates no variables*) 

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fun eq_mp_tac i = ematch_tac [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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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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fun swap_res_tac rls = 
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let fun addrl rl brls = (false, rl) :: (true, rl RSN (2, Data.swap)) :: brls in 
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assume_tac ORELSE' 

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contr_tac ORELSE' 

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biresolve_tac (fold_rev addrl rls []) 

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end; 

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(*Duplication of hazardous rules, for complete provers*) 
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fun dup_intr th = zero_var_indexes (th RS Data.classical); 
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fun dup_elim th = (* FIXME proper context!? *) 
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let 
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val rl = (th RSN (2, revcut_rl)) > Thm.assumption 2 > Seq.hd; 

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val ctxt = Proof_Context.init_global (Thm.theory_of_thm rl); 
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in rule_by_tactic ctxt (TRYALL (etac revcut_rl)) rl end; 
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(**** Classical rule sets ****) 
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type netpair = (int * (bool * thm)) Net.net * (int * (bool * thm)) Net.net; 
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type wrapper = (int > tactic) > int > tactic; 

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0  216 
datatype claset = 
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CS of 
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{safeIs : thm Item_Net.T, (*safe introduction rules*) 
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safeEs : thm Item_Net.T, (*safe elimination rules*) 
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hazIs : thm Item_Net.T, (*unsafe introduction rules*) 
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hazEs : thm Item_Net.T, (*unsafe elimination rules*) 
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swrappers : (string * (Proof.context > wrapper)) list, (*for transforming safe_step_tac*) 
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uwrappers : (string * (Proof.context > wrapper)) list, (*for transforming step_tac*) 

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safe0_netpair : netpair, (*nets for trivial cases*) 

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safep_netpair : netpair, (*nets for >0 subgoals*) 

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haz_netpair : netpair, (*nets for unsafe rules*) 

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dup_netpair : netpair, (*nets for duplication*) 

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xtra_netpair : Context_Rules.netpair}; (*nets for extra rules*) 

0  229 

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(*Desired invariants are 
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safe0_netpair = build safe0_brls, 
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safep_netpair = build safep_brls, 

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haz_netpair = build (joinrules(hazIs, hazEs)), 

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dup_netpair = build (joinrules(map dup_intr hazIs, 
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map dup_elim hazEs)) 
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where build = build_netpair(Net.empty,Net.empty), 
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safe0_brls contains all brules that solve the subgoal, and 
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safep_brls contains all brules that generate 1 or more new subgoals. 
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The theorem lists are largely comments, though they are used in merge_cs and print_cs. 
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Nets must be built incrementally, to save space and time. 
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*) 
0  243 

6502  244 
val empty_netpair = (Net.empty, Net.empty); 
245 

10736  246 
val empty_cs = 
42793  247 
CS 
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{safeIs = Thm.full_rules, 
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safeEs = Thm.full_rules, 
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250 
hazIs = Thm.full_rules, 
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251 
hazEs = Thm.full_rules, 
42793  252 
swrappers = [], 
253 
uwrappers = [], 

254 
safe0_netpair = empty_netpair, 

255 
safep_netpair = empty_netpair, 

256 
haz_netpair = empty_netpair, 

257 
dup_netpair = empty_netpair, 

258 
xtra_netpair = empty_netpair}; 

0  259 

4653  260 
fun rep_cs (CS args) = args; 
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261 

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262 

1800  263 
(*** Adding (un)safe introduction or elimination rules. 
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264 

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265 
In case of overlap, new rules are tried BEFORE old ones!! 
1800  266 
***) 
0  267 

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(*For use with biresolve_tac. Combines intro rules with swap to handle negated 
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269 
assumptions. Pairs elim rules with true. *) 
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270 
fun joinrules (intrs, elims) = 
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(map (pair true) (elims @ swapify intrs)) @ map (pair false) intrs; 
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272 

12401  273 
fun joinrules' (intrs, elims) = 
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map (pair true) elims @ map (pair false) intrs; 
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275 

10736  276 
(*Priority: prefer rules with fewest subgoals, 
1231  277 
then rules added most recently (preferring the head of the list).*) 
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278 
fun tag_brls k [] = [] 
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 tag_brls k (brl::brls) = 
10736  280 
(1000000*subgoals_of_brl brl + k, brl) :: 
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281 
tag_brls (k+1) brls; 
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282 

12401  283 
fun tag_brls' _ _ [] = [] 
284 
 tag_brls' w k (brl::brls) = ((w, k), brl) :: tag_brls' w (k + 1) brls; 

10736  285 

23178  286 
fun insert_tagged_list rls = fold_rev Tactic.insert_tagged_brl rls; 
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287 

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288 
(*Insert into netpair that already has nI intr rules and nE elim rules. 
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289 
Count the intr rules double (to account for swapify). Negate to give the 
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290 
new insertions the lowest priority.*) 
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291 
fun insert (nI, nE) = insert_tagged_list o (tag_brls (~(2*nI+nE))) o joinrules; 
12401  292 
fun insert' w (nI, nE) = insert_tagged_list o tag_brls' w (~(nI + nE)) o joinrules'; 
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293 

23178  294 
fun delete_tagged_list rls = fold_rev Tactic.delete_tagged_brl rls; 
12362  295 
fun delete x = delete_tagged_list (joinrules x); 
12401  296 
fun delete' x = delete_tagged_list (joinrules' x); 
1800  297 

42793  298 
fun string_of_thm NONE = Display.string_of_thm_without_context 
42817  299 
 string_of_thm (SOME context) = Display.string_of_thm (Context.proof_of context); 
42793  300 

301 
fun make_elim context th = 

302 
if has_fewer_prems 1 th then 

303 
error ("Illformed destruction rule\n" ^ string_of_thm context th) 

304 
else Tactic.make_elim th; 

42790  305 

46874  306 
fun warn_thm opt_context msg th = 
307 
if (case opt_context of SOME context => Context_Position.is_visible_proof context  NONE => false) 

308 
then warning (msg ^ string_of_thm opt_context th) 

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309 
else (); 
42793  310 

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311 
fun warn_rules context msg rules th = 
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Item_Net.member rules th andalso (warn_thm context msg th; true); 
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313 

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314 
fun warn_claset context th (CS {safeIs, safeEs, hazIs, hazEs, ...}) = 
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315 
warn_rules context "Rule already declared as safe introduction (intro!)\n" safeIs th orelse 
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316 
warn_rules context "Rule already declared as safe elimination (elim!)\n" safeEs th orelse 
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317 
warn_rules context "Rule already declared as introduction (intro)\n" hazIs th orelse 
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318 
warn_rules context "Rule already declared as elimination (elim)\n" hazEs th; 
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319 

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320 

1800  321 
(*** Safe rules ***) 
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322 

42793  323 
fun addSI w context th 
42790  324 
(cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, 
325 
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = 

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326 
if warn_rules context "Ignoring duplicate safe introduction (intro!)\n" safeIs th then cs 
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327 
else 
42790  328 
let 
329 
val th' = flat_rule th; 

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330 
val (safe0_rls, safep_rls) = (*0 subgoals vs 1 or more*) 
42790  331 
List.partition Thm.no_prems [th']; 
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332 
val nI = Item_Net.length safeIs + 1; 
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333 
val nE = Item_Net.length safeEs; 
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334 
val _ = warn_claset context th cs; 
42790  335 
in 
336 
CS 

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337 
{safeIs = Item_Net.update th safeIs, 
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338 
safe0_netpair = insert (nI,nE) (safe0_rls, []) safe0_netpair, 
9938  339 
safep_netpair = insert (nI,nE) (safep_rls, []) safep_netpair, 
42790  340 
safeEs = safeEs, 
341 
hazIs = hazIs, 

342 
hazEs = hazEs, 

343 
swrappers = swrappers, 

344 
uwrappers = uwrappers, 

345 
haz_netpair = haz_netpair, 

346 
dup_netpair = dup_netpair, 

18691  347 
xtra_netpair = insert' (the_default 0 w) (nI,nE) ([th], []) xtra_netpair} 
42790  348 
end; 
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349 

42793  350 
fun addSE w context th 
42790  351 
(cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, 
352 
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = 

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353 
if warn_rules context "Ignoring duplicate safe elimination (elim!)\n" safeEs th then cs 
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354 
else if has_fewer_prems 1 th then 
42793  355 
error ("Illformed elimination rule\n" ^ string_of_thm context th) 
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356 
else 
42790  357 
let 
358 
val th' = classical_rule (flat_rule th); 

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359 
val (safe0_rls, safep_rls) = (*0 subgoals vs 1 or more*) 
42790  360 
List.partition (fn rl => nprems_of rl=1) [th']; 
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361 
val nI = Item_Net.length safeIs; 
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362 
val nE = Item_Net.length safeEs + 1; 
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363 
val _ = warn_claset context th cs; 
42790  364 
in 
365 
CS 

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366 
{safeEs = Item_Net.update th safeEs, 
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367 
safe0_netpair = insert (nI,nE) ([], safe0_rls) safe0_netpair, 
9938  368 
safep_netpair = insert (nI,nE) ([], safep_rls) safep_netpair, 
42790  369 
safeIs = safeIs, 
370 
hazIs = hazIs, 

371 
hazEs = hazEs, 

372 
swrappers = swrappers, 

373 
uwrappers = uwrappers, 

374 
haz_netpair = haz_netpair, 

375 
dup_netpair = dup_netpair, 

18691  376 
xtra_netpair = insert' (the_default 0 w) (nI,nE) ([], [th]) xtra_netpair} 
42790  377 
end; 
0  378 

42793  379 
fun addSD w context th = addSE w context (make_elim context th); 
380 

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381 

1800  382 
(*** Hazardous (unsafe) rules ***) 
0  383 

42793  384 
fun addI w context th 
42790  385 
(cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, 
386 
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = 

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387 
if warn_rules context "Ignoring duplicate introduction (intro)\n" hazIs th then cs 
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388 
else 
42790  389 
let 
390 
val th' = flat_rule th; 

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391 
val nI = Item_Net.length hazIs + 1; 
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392 
val nE = Item_Net.length hazEs; 
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393 
val _ = warn_claset context th cs; 
42790  394 
in 
395 
CS 

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396 
{hazIs = Item_Net.update th hazIs, 
42790  397 
haz_netpair = insert (nI, nE) ([th'], []) haz_netpair, 
398 
dup_netpair = insert (nI, nE) ([dup_intr th'], []) dup_netpair, 

399 
safeIs = safeIs, 

400 
safeEs = safeEs, 

401 
hazEs = hazEs, 

402 
swrappers = swrappers, 

403 
uwrappers = uwrappers, 

9938  404 
safe0_netpair = safe0_netpair, 
405 
safep_netpair = safep_netpair, 

42790  406 
xtra_netpair = insert' (the_default 1 w) (nI, nE) ([th], []) xtra_netpair} 
407 
end 

408 
handle THM ("RSN: no unifiers", _, _) => (*from dup_intr*) (* FIXME !? *) 

42793  409 
error ("Illformed introduction rule\n" ^ string_of_thm context th); 
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410 

42793  411 
fun addE w context th 
42790  412 
(cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, 
413 
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = 

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414 
if warn_rules context "Ignoring duplicate elimination (elim)\n" hazEs th then cs 
18557
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paulson
parents:
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diff
changeset

415 
else if has_fewer_prems 1 th then 
42793  416 
error ("Illformed elimination rule\n" ^ string_of_thm context th) 
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paulson
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changeset

417 
else 
42790  418 
let 
419 
val th' = classical_rule (flat_rule th); 

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420 
val nI = Item_Net.length hazIs; 
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421 
val nE = Item_Net.length hazEs + 1; 
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422 
val _ = warn_claset context th cs; 
42790  423 
in 
424 
CS 

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425 
{hazEs = Item_Net.update th hazEs, 
42790  426 
haz_netpair = insert (nI, nE) ([], [th']) haz_netpair, 
427 
dup_netpair = insert (nI, nE) ([], [dup_elim th']) dup_netpair, 

428 
safeIs = safeIs, 

429 
safeEs = safeEs, 

430 
hazIs = hazIs, 

431 
swrappers = swrappers, 

432 
uwrappers = uwrappers, 

9938  433 
safe0_netpair = safe0_netpair, 
434 
safep_netpair = safep_netpair, 

42790  435 
xtra_netpair = insert' (the_default 1 w) (nI, nE) ([], [th]) xtra_netpair} 
436 
end; 

0  437 

42793  438 
fun addD w context th = addE w context (make_elim context th); 
439 

0  440 

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441 

10736  442 
(*** Deletion of rules 
1800  443 
Working out what to delete, requires repeating much of the code used 
9938  444 
to insert. 
1800  445 
***) 
446 

10736  447 
fun delSI th 
42790  448 
(cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, 
449 
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = 

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450 
if Item_Net.member safeIs th then 
18534
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changeset

451 
let 
42790  452 
val th' = flat_rule th; 
453 
val (safe0_rls, safep_rls) = List.partition Thm.no_prems [th']; 

454 
in 

455 
CS 

456 
{safe0_netpair = delete (safe0_rls, []) safe0_netpair, 

457 
safep_netpair = delete (safep_rls, []) safep_netpair, 

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458 
safeIs = Item_Net.remove th safeIs, 
42790  459 
safeEs = safeEs, 
460 
hazIs = hazIs, 

461 
hazEs = hazEs, 

462 
swrappers = swrappers, 

463 
uwrappers = uwrappers, 

464 
haz_netpair = haz_netpair, 

465 
dup_netpair = dup_netpair, 

466 
xtra_netpair = delete' ([th], []) xtra_netpair} 

18534
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changeset

467 
end 
6799b38ed872
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changeset

468 
else cs; 
1800  469 

42790  470 
fun delSE th 
471 
(cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, 

472 
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = 

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changeset

473 
if Item_Net.member safeEs th then 
42790  474 
let 
475 
val th' = classical_rule (flat_rule th); 

476 
val (safe0_rls, safep_rls) = List.partition (fn rl => nprems_of rl = 1) [th']; 

477 
in 

478 
CS 

479 
{safe0_netpair = delete ([], safe0_rls) safe0_netpair, 

480 
safep_netpair = delete ([], safep_rls) safep_netpair, 

481 
safeIs = safeIs, 

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482 
safeEs = Item_Net.remove th safeEs, 
42790  483 
hazIs = hazIs, 
484 
hazEs = hazEs, 

485 
swrappers = swrappers, 

486 
uwrappers = uwrappers, 

487 
haz_netpair = haz_netpair, 

488 
dup_netpair = dup_netpair, 

489 
xtra_netpair = delete' ([], [th]) xtra_netpair} 

490 
end 

491 
else cs; 

1800  492 

42793  493 
fun delI context th 
42790  494 
(cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, 
495 
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = 

42810
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changeset

496 
if Item_Net.member hazIs th then 
42790  497 
let val th' = flat_rule th in 
498 
CS 

499 
{haz_netpair = delete ([th'], []) haz_netpair, 

23594
e65e466dda01
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wenzelm
parents:
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diff
changeset

500 
dup_netpair = delete ([dup_intr th'], []) dup_netpair, 
42790  501 
safeIs = safeIs, 
502 
safeEs = safeEs, 

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changeset

503 
hazIs = Item_Net.remove th hazIs, 
42790  504 
hazEs = hazEs, 
505 
swrappers = swrappers, 

506 
uwrappers = uwrappers, 

9938  507 
safe0_netpair = safe0_netpair, 
508 
safep_netpair = safep_netpair, 

12401  509 
xtra_netpair = delete' ([th], []) xtra_netpair} 
23594
e65e466dda01
renamed ObjectLogic.atomize_tac to ObjectLogic.atomize_prems_tac;
wenzelm
parents:
23178
diff
changeset

510 
end 
42790  511 
else cs 
512 
handle THM ("RSN: no unifiers", _, _) => (*from dup_intr*) (* FIXME !? *) 

42793  513 
error ("Illformed introduction rule\n" ^ string_of_thm context th); 
1800  514 

2813
cc4c816dafdc
delrules now deletes ALL occurrences of a rule, since it may appear in any of
paulson
parents:
2689
diff
changeset

515 
fun delE th 
42790  516 
(cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, 
517 
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

518 
if Item_Net.member hazEs th then 
42790  519 
let val th' = classical_rule (flat_rule th) in 
520 
CS 

521 
{haz_netpair = delete ([], [th']) haz_netpair, 

18534
6799b38ed872
added classical_rule, which replaces Data.make_elim;
wenzelm
parents:
18374
diff
changeset

522 
dup_netpair = delete ([], [dup_elim th']) dup_netpair, 
42790  523 
safeIs = safeIs, 
524 
safeEs = safeEs, 

525 
hazIs = hazIs, 

42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset

526 
hazEs = Item_Net.remove th hazEs, 
42790  527 
swrappers = swrappers, 
528 
uwrappers = uwrappers, 

9938  529 
safe0_netpair = safe0_netpair, 
530 
safep_netpair = safep_netpair, 

12401  531 
xtra_netpair = delete' ([], [th]) xtra_netpair} 
42790  532 
end 
533 
else cs; 

1800  534 

2813
cc4c816dafdc
delrules now deletes ALL occurrences of a rule, since it may appear in any of
paulson
parents:
2689
diff
changeset

535 
(*Delete ALL occurrences of "th" in the claset (perhaps from several lists)*) 
42793  536 
fun delrule context th (cs as CS {safeIs, safeEs, hazIs, hazEs, ...}) = 
537 
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

538 
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

539 
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

540 
Item_Net.member safeEs th' orelse Item_Net.member hazEs th' 
42793  541 
then delSI th (delSE th (delI context th (delE th (delSE th' (delE th' cs))))) 
42807
e639d91d9073
more precise warnings: observe context visibility;
wenzelm
parents:
42799
diff
changeset

542 
else (warn_thm context "Undeclared classical rule\n" th; cs) 
9938  543 
end; 
1800  544 

545 

42793  546 

547 
(** claset data **) 

42790  548 

42793  549 
(* wrappers *) 
42790  550 

22674  551 
fun map_swrappers f 
552 
(CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, 

553 
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = 

554 
CS {safeIs = safeIs, safeEs = safeEs, hazIs = hazIs, hazEs = hazEs, 

4767
b9f3468c6ee2
introduced functions for updating the wrapper lists
oheimb
parents:
4765
diff
changeset

555 
swrappers = f swrappers, uwrappers = uwrappers, 
b9f3468c6ee2
introduced functions for updating the wrapper lists
oheimb
parents:
4765
diff
changeset

556 
safe0_netpair = safe0_netpair, safep_netpair = safep_netpair, 
6955  557 
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

558 

22674  559 
fun map_uwrappers f 
42793  560 
(CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, 
22674  561 
safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) = 
562 
CS {safeIs = safeIs, safeEs = safeEs, hazIs = hazIs, hazEs = hazEs, 

4767
b9f3468c6ee2
introduced functions for updating the wrapper lists
oheimb
parents:
4765
diff
changeset

563 
swrappers = swrappers, uwrappers = f uwrappers, 
b9f3468c6ee2
introduced functions for updating the wrapper lists
oheimb
parents:
4765
diff
changeset

564 
safe0_netpair = safe0_netpair, safep_netpair = safep_netpair, 
6955  565 
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

566 

22674  567 

42793  568 
(* merge_cs *) 
982
4fe0b642b7d5
Addition of wrappers for integration with the simplifier.
lcp
parents:
747
diff
changeset

569 

42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset

570 
(*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

571 
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

572 

2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset

573 
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

574 
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

575 

22674  576 
fun merge_cs (cs as CS {safeIs, safeEs, hazIs, hazEs, ...}, 
24358  577 
cs' as CS {safeIs = safeIs2, safeEs = safeEs2, hazIs = hazIs2, hazEs = hazEs2, 
22674  578 
swrappers, uwrappers, ...}) = 
24358  579 
if pointer_eq (cs, cs') then cs 
580 
else 

42810
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset

581 
cs 
2425068fe13a
slightly more efficient claset operations, using Item_Net to maintain rules in canonical order;
wenzelm
parents:
42807
diff
changeset

582 
> 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

583 
> 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

584 
> 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

585 
> 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

586 
> 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

587 
> map_uwrappers (fn ws => AList.merge (op =) (K true) (ws, uwrappers)); 
42793  588 

589 

590 
(* data *) 

591 

592 
structure Claset = Generic_Data 

593 
( 

594 
type T = claset; 

595 
val empty = empty_cs; 

596 
val extend = I; 

597 
val merge = merge_cs; 

598 
); 

599 

600 
val claset_of = Claset.get o Context.Proof; 

601 
val rep_claset_of = rep_cs o claset_of; 

602 

603 
val get_cs = Claset.get; 

604 
val map_cs = Claset.map; 

605 

51703
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

606 
fun map_theory_claset f thy = 
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

607 
let 
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

608 
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

609 
val thy' = Proof_Context.theory_of ctxt'; 
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

610 
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

611 

42793  612 
fun map_claset f = Context.proof_map (map_cs f); 
613 
fun put_claset cs = map_claset (K cs); 

614 

615 
fun print_claset ctxt = 

616 
let 

617 
val {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, ...} = rep_claset_of ctxt; 

51584  618 
val pretty_thms = map (Display.pretty_thm_item ctxt) o Item_Net.content; 
42793  619 
in 
620 
[Pretty.big_list "safe introduction rules (intro!):" (pretty_thms safeIs), 

621 
Pretty.big_list "introduction rules (intro):" (pretty_thms hazIs), 

622 
Pretty.big_list "safe elimination rules (elim!):" (pretty_thms safeEs), 

623 
Pretty.big_list "elimination rules (elim):" (pretty_thms hazEs), 

624 
Pretty.strs ("safe wrappers:" :: map #1 swrappers), 

625 
Pretty.strs ("unsafe wrappers:" :: map #1 uwrappers)] 

626 
> Pretty.chunks > Pretty.writeln 

627 
end; 

628 

629 

630 
(* oldstyle declarations *) 

631 

632 
fun decl f (ctxt, ths) = map_claset (fold_rev (f (SOME (Context.Proof ctxt))) ths) ctxt; 

633 

634 
val op addSIs = decl (addSI NONE); 

635 
val op addSEs = decl (addSE NONE); 

636 
val op addSDs = decl (addSD NONE); 

637 
val op addIs = decl (addI NONE); 

638 
val op addEs = decl (addE NONE); 

639 
val op addDs = decl (addD NONE); 

640 
val op delrules = decl delrule; 

641 

642 

643 

644 
(*** Modifying the wrapper tacticals ***) 

645 

646 
fun appSWrappers ctxt = fold (fn (_, w) => w ctxt) (#swrappers (rep_claset_of ctxt)); 

647 
fun appWrappers ctxt = fold (fn (_, w) => w ctxt) (#uwrappers (rep_claset_of ctxt)); 

648 

649 
fun update_warn msg (p as (key : string, _)) xs = 

650 
(if AList.defined (op =) xs key then warning msg else (); AList.update (op =) p xs); 

651 

652 
fun delete_warn msg (key : string) xs = 

653 
if AList.defined (op =) xs key then AList.delete (op =) key xs 

654 
else (warning msg; xs); 

655 

656 
(*Add/replace a safe wrapper*) 

51703
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

657 
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

658 
(map_swrappers (update_warn ("Overwriting safe wrapper " ^ fst new_swrapper) new_swrapper)); 
42793  659 

660 
(*Add/replace an unsafe wrapper*) 

51703
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

661 
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

662 
(map_uwrappers (update_warn ("Overwriting unsafe wrapper " ^ fst new_uwrapper) new_uwrapper)); 
42793  663 

664 
(*Remove a safe wrapper*) 

51703
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

665 
fun ctxt delSWrapper name = ctxt > map_claset 
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

666 
(map_swrappers (delete_warn ("No such safe wrapper in claset: " ^ name) name)); 
42793  667 

668 
(*Remove an unsafe wrapper*) 

51703
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

669 
fun ctxt delWrapper name = ctxt > map_claset 
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

670 
(map_uwrappers (delete_warn ("No such unsafe wrapper in claset: " ^ name) name)); 
42793  671 

672 
(* compose a safe tactic alternatively before/after safe_step_tac *) 

51703
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

673 
fun ctxt addSbefore (name, tac1) = ctxt addSWrapper (name, fn _ => fn tac2 => tac1 ORELSE' tac2); 
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

674 
fun ctxt addSafter (name, tac2) = ctxt addSWrapper (name, fn _ => fn tac1 => tac1 ORELSE' tac2); 
42793  675 

676 
(*compose a tactic alternatively before/after the step tactic *) 

51703
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

677 
fun ctxt addbefore (name, tac1) = ctxt addWrapper (name, fn _ => fn tac2 => tac1 APPEND' tac2); 
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

678 
fun ctxt addafter (name, tac2) = ctxt addWrapper (name, fn _ => fn tac1 => tac1 APPEND' tac2); 
42793  679 

51703
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

680 
fun ctxt addD2 (name, thm) = ctxt addafter (name, dtac thm THEN' assume_tac); 
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

681 
fun ctxt addE2 (name, thm) = ctxt addafter (name, etac thm THEN' assume_tac); 
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

682 
fun ctxt addSD2 (name, thm) = ctxt addSafter (name, dmatch_tac [thm] THEN' eq_assume_tac); 
f2e92fc0c8aa
modifiers for classical wrappers operate on Proof.context instead of claset;
wenzelm
parents:
51688
diff
changeset

683 
fun ctxt addSE2 (name, thm) = ctxt addSafter (name, ematch_tac [thm] THEN' eq_assume_tac); 
42793  684 

1711  685 

982
4fe0b642b7d5
Addition of wrappers for integration with the simplifier.
lcp
parents:
747
diff
changeset

686 

1800  687 
(**** Simple tactics for theorem proving ****) 
0  688 

689 
(*Attack subgoals using safe inferences  matching, not resolution*) 

42793  690 
fun safe_step_tac ctxt = 
691 
let val {safe0_netpair, safep_netpair, ...} = rep_claset_of ctxt in 

692 
appSWrappers ctxt 

693 
(FIRST' 

694 
[eq_assume_tac, 

9938  695 
eq_mp_tac, 
696 
bimatch_from_nets_tac safe0_netpair, 

42792  697 
FIRST' Data.hyp_subst_tacs, 
42793  698 
bimatch_from_nets_tac safep_netpair]) 
699 
end; 

0  700 

5757  701 
(*Repeatedly attack a subgoal using safe inferences  it's deterministic!*) 
42793  702 
fun safe_steps_tac ctxt = 
703 
REPEAT_DETERM1 o (fn i => COND (has_fewer_prems i) no_tac (safe_step_tac ctxt i)); 

5757  704 

0  705 
(*Repeatedly attack subgoals using safe inferences  it's deterministic!*) 
42793  706 
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

707 

3705
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset

708 

76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset

709 
(*** 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

710 

42790  711 
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

712 

76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset

713 
(*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

714 
create precisely n subgoals.*) 
10736  715 
fun n_bimatch_from_nets_tac n = 
42790  716 
biresolution_from_nets_tac (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

717 

42792  718 
fun eq_contr_tac i = ematch_tac [Data.not_elim] i THEN eq_assume_tac i; 
3705
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset

719 
val eq_assume_contr_tac = eq_assume_tac ORELSE' eq_contr_tac; 
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset

720 

76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset

721 
(*Twoway branching is allowed only if one of the branches immediately closes*) 
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset

722 
fun bimatch2_tac netpair i = 
42790  723 
n_bimatch_from_nets_tac 2 netpair i THEN 
724 
(eq_assume_contr_tac i ORELSE eq_assume_contr_tac (i + 1)); 

3705
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset

725 

76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset

726 
(*Attack subgoals using safe inferences  matching, not resolution*) 
42793  727 
fun clarify_step_tac ctxt = 
728 
let val {safe0_netpair, safep_netpair, ...} = rep_claset_of ctxt in 

729 
appSWrappers ctxt 

730 
(FIRST' 

731 
[eq_assume_contr_tac, 

9938  732 
bimatch_from_nets_tac safe0_netpair, 
42792  733 
FIRST' Data.hyp_subst_tacs, 
9938  734 
n_bimatch_from_nets_tac 1 safep_netpair, 
42793  735 
bimatch2_tac safep_netpair]) 
736 
end; 

3705
76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset

737 

42793  738 
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

739 

76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset

740 

76f3b2803982
Addition of clarify_tac, clarify_step_tac, Clarify_tac, Clarify_step_tac
paulson
parents:
3546
diff
changeset

741 
(*** 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

742 

4066  743 
(*Backtracking is allowed among the various these unsafe ways of 
744 
proving a subgoal. *) 

42793  745 
fun inst0_step_tac ctxt = 
32862  746 
assume_tac APPEND' 
747 
contr_tac APPEND' 

42793  748 
biresolve_from_nets_tac (#safe0_netpair (rep_claset_of ctxt)); 
747
bdc066781063
deepen_tac: modified due to outcome of experiments. Its
lcp
parents:
681
diff
changeset

749 

4066  750 
(*These unsafe steps could generate more subgoals.*) 
42793  751 
fun instp_step_tac ctxt = 
752 
biresolve_from_nets_tac (#safep_netpair (rep_claset_of ctxt)); 

0  753 

754 
(*These steps could instantiate variables and are therefore unsafe.*) 

42793  755 
fun inst_step_tac ctxt = inst0_step_tac ctxt APPEND' instp_step_tac ctxt; 
0  756 

42793  757 
fun haz_step_tac ctxt = 
758 
biresolve_from_nets_tac (#haz_netpair (rep_claset_of ctxt)); 

681
9b02474744ca
Provers/classical: now takes theorem "classical" as argument, proves "swap"
lcp
parents:
469
diff
changeset

759 

0  760 
(*Single step for the prover. FAILS unless it makes progress. *) 
42793  761 
fun step_tac ctxt i = 
762 
safe_tac ctxt ORELSE appWrappers ctxt (inst_step_tac ctxt ORELSE' haz_step_tac ctxt) i; 

0  763 

764 
(*Using a "safe" rule to instantiate variables is unsafe. This tactic 

765 
allows backtracking from "safe" rules to "unsafe" rules here.*) 

42793  766 
fun slow_step_tac ctxt i = 
767 
safe_tac ctxt ORELSE appWrappers ctxt (inst_step_tac ctxt APPEND' haz_step_tac ctxt) i; 

0  768 

42791
36f787ae5f70
eliminated weight_ASTAR: int Unsynchronized.ref (astar_tac appears to be obsolete anyway);
wenzelm
parents:
42790
diff
changeset

769 

1800  770 
(**** The following tactics all fail unless they solve one goal ****) 
0  771 

772 
(*Dumb but fast*) 

42793  773 
fun fast_tac ctxt = 
774 
Object_Logic.atomize_prems_tac THEN' SELECT_GOAL (DEPTH_SOLVE (step_tac ctxt 1)); 

0  775 

776 
(*Slower but smarter than fast_tac*) 

42793  777 
fun best_tac ctxt = 
35625  778 
Object_Logic.atomize_prems_tac THEN' 
42793  779 
SELECT_GOAL (BEST_FIRST (has_fewer_prems 1, Data.sizef) (step_tac ctxt 1)); 
0  780 

9402  781 
(*even a bit smarter than best_tac*) 
42793  782 
fun first_best_tac ctxt = 
35625  783 
Object_Logic.atomize_prems_tac THEN' 
42793  784 
SELECT_GOAL (BEST_FIRST (has_fewer_prems 1, Data.sizef) (FIRSTGOAL (step_tac ctxt))); 
9402  785 

42793  786 
fun slow_tac ctxt = 
35625  787 
Object_Logic.atomize_prems_tac THEN' 
42793  788 
SELECT_GOAL (DEPTH_SOLVE (slow_step_tac ctxt 1)); 
0  789 

42793  790 
fun slow_best_tac ctxt = 
35625  791 
Object_Logic.atomize_prems_tac THEN' 
42793  792 
SELECT_GOAL (BEST_FIRST (has_fewer_prems 1, Data.sizef) (slow_step_tac ctxt 1)); 
0  793 

681
9b02474744ca
Provers/classical: now takes theorem "classical" as argument, proves "swap"
lcp
parents:
469
diff
changeset

794 

10736  795 
(***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

796 

36f787ae5f70
eliminated weight_ASTAR: int Unsynchronized.ref (astar_tac appears to be obsolete anyway);
wenzelm
parents:
42790
diff
changeset

797 
val weight_ASTAR = 5; 
1587
e7d8a4957bac
Now provides astar versions (thanks to Norbert Voelker)
paulson
parents:
1524
diff
changeset

798 

42793  799 
fun astar_tac ctxt = 
35625  800 
Object_Logic.atomize_prems_tac THEN' 
10382
1fb807260ff1
atomize: all automated tactics that "solve" goals;
wenzelm
parents:
10309
diff
changeset

801 
SELECT_GOAL 
42791
36f787ae5f70
eliminated weight_ASTAR: int Unsynchronized.ref (astar_tac appears to be obsolete anyway);
wenzelm
parents:
42790
diff
changeset

802 
(ASTAR (has_fewer_prems 1, fn lev => fn thm => size_of_thm thm + weight_ASTAR * lev) 
42793  803 
(step_tac ctxt 1)); 
1587
e7d8a4957bac
Now provides astar versions (thanks to Norbert Voelker)
paulson
parents:
1524
diff
changeset

804 

42793  805 
fun slow_astar_tac ctxt = 
35625  806 
Object_Logic.atomize_prems_tac THEN' 
10382
1fb807260ff1
atomize: all automated tactics that "solve" goals;
wenzelm
parents:
10309
diff
changeset

807 
SELECT_GOAL 
42791
36f787ae5f70
eliminated weight_ASTAR: int Unsynchronized.ref (astar_tac appears to be obsolete anyway);
wenzelm
parents:
42790
diff
changeset

808 
(ASTAR (has_fewer_prems 1, fn lev => fn thm => size_of_thm thm + weight_ASTAR * lev) 
42793  809 
(slow_step_tac ctxt 1)); 
1587
e7d8a4957bac
Now provides astar versions (thanks to Norbert Voelker)
paulson
parents:
1524
diff
changeset

810 

42790  811 

1800  812 
(**** 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

813 
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

814 
easy theorems faster, but loses completeness  and many of the harder 
1800  815 
theorems such as 43. ****) 
681
9b02474744ca
Provers/classical: now takes theorem "classical" as argument, proves "swap"
lcp
parents:
469
diff
changeset

816 

747
bdc066781063
deepen_tac: modified due to outcome of experiments. Its
lcp
parents:
681
diff
changeset

817 
(*Nondeterministic! Could always expand the first unsafe connective. 
bdc066781063
deepen_tac: modified due to outcome of experiments. Its
lcp
parents:
681
diff
changeset

818 
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

819 
greater search depth required.*) 
42793  820 
fun dup_step_tac ctxt = 
821 
biresolve_from_nets_tac (#dup_netpair (rep_claset_of ctxt)); 

681
9b02474744ca
Provers/classical: now takes theorem "classical" as argument, proves "swap"
lcp
parents:
469
diff
changeset

822 

5523  823 
(*Searching to depth m. A variant called nodup_depth_tac appears in clasimp.ML*) 
5757  824 
local 
42793  825 
fun slow_step_tac' ctxt = appWrappers ctxt (instp_step_tac ctxt APPEND' dup_step_tac ctxt); 
42790  826 
in 
42793  827 
fun depth_tac ctxt m i state = SELECT_GOAL 
828 
(safe_steps_tac ctxt 1 THEN_ELSE 

829 
(DEPTH_SOLVE (depth_tac ctxt m 1), 

830 
inst0_step_tac ctxt 1 APPEND COND (K (m = 0)) no_tac 

831 
(slow_step_tac' ctxt 1 THEN DEPTH_SOLVE (depth_tac ctxt (m  1) 1)))) i state; 

5757  832 
end; 
747
bdc066781063
deepen_tac: modified due to outcome of experiments. Its
lcp
parents:
681
diff
changeset

833 

10736  834 
(*Search, with depth bound m. 
2173  835 
This is the "entry point", which does safe inferences first.*) 
42793  836 
fun safe_depth_tac ctxt m = SUBGOAL (fn (prem, i) => 
837 
let 

838 
val deti = (*No Vars in the goal? No need to backtrack between goals.*) 

839 
if exists_subterm (fn Var _ => true  _ => false) prem then DETERM else I; 

42790  840 
in 
42793  841 
SELECT_GOAL (TRY (safe_tac ctxt) THEN DEPTH_SOLVE (deti (depth_tac ctxt m 1))) i 
42790  842 
end); 
681
9b02474744ca
Provers/classical: now takes theorem "classical" as argument, proves "swap"
lcp
parents:
469
diff
changeset

843 

42793  844 
fun deepen_tac ctxt = DEEPEN (2, 10) (safe_depth_tac ctxt); 
24021  845 

846 

5885  847 
(* attributes *) 
848 

42793  849 
fun attrib f = 
850 
Thm.declaration_attribute (fn th => fn context => map_cs (f (SOME context) th) context); 

5885  851 

18691  852 
val safe_elim = attrib o addSE; 
853 
val safe_intro = attrib o addSI; 

42793  854 
val safe_dest = attrib o addSD; 
18691  855 
val haz_elim = attrib o addE; 
856 
val haz_intro = attrib o addI; 

42793  857 
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

858 

7fe19930dfc9
more explicit representation of rule_attribute vs. declaration_attribute vs. mixed_attribute;
wenzelm
parents:
42817
diff
changeset

859 
val rule_del = 
7fe19930dfc9
more explicit representation of rule_attribute vs. declaration_attribute vs. mixed_attribute;
wenzelm
parents:
42817
diff
changeset

860 
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

861 
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

862 
Thm.attribute_declaration Context_Rules.rule_del th); 
5885  863 

864 

5841  865 

5885  866 
(** concrete syntax of attributes **) 
5841  867 

868 
val introN = "intro"; 

869 
val elimN = "elim"; 

870 
val destN = "dest"; 

871 

30528  872 
val setup_attrs = 
873 
Attrib.setup @{binding swapped} (Scan.succeed swapped) 

874 
"classical swap of introduction rule" #> 

33369  875 
Attrib.setup @{binding dest} (Context_Rules.add safe_dest haz_dest Context_Rules.dest_query) 
30528  876 
"declaration of Classical destruction rule" #> 
33369  877 
Attrib.setup @{binding elim} (Context_Rules.add safe_elim haz_elim Context_Rules.elim_query) 
30528  878 
"declaration of Classical elimination rule" #> 
33369  879 
Attrib.setup @{binding intro} (Context_Rules.add safe_intro haz_intro Context_Rules.intro_query) 
30528  880 
"declaration of Classical introduction rule" #> 
881 
Attrib.setup @{binding rule} (Scan.lift Args.del >> K rule_del) 

882 
"remove declaration of intro/elim/dest rule"; 

5841  883 

884 

885 

7230  886 
(** proof methods **) 
887 

888 
local 

889 

30609
983e8b6e4e69
Disposed old declarations, tactics, tactic combinators that refer to the simpset or claset of an implicit theory;
wenzelm
parents:
30558
diff
changeset

890 
fun some_rule_tac ctxt facts = SUBGOAL (fn (goal, i) => 
5841  891 
let 
33369  892 
val [rules1, rules2, rules4] = Context_Rules.find_rules false facts goal ctxt; 
42793  893 
val {xtra_netpair, ...} = rep_claset_of ctxt; 
33369  894 
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

895 
val rules = rules1 @ rules2 @ rules3 @ rules4; 
18223  896 
val ruleq = Drule.multi_resolves facts rules; 
12376
480303e3fa08
simplified (and clarified) integration with Pure/ContextRules;
wenzelm
parents:
12362
diff
changeset

897 
in 
480303e3fa08
simplified (and clarified) integration with Pure/ContextRules;
wenzelm
parents:
12362
diff
changeset

898 
Method.trace ctxt rules; 
32952  899 
fn st => Seq.maps (fn rule => Tactic.rtac rule i st) ruleq 
18834  900 
end) 
21687  901 
THEN_ALL_NEW Goal.norm_hhf_tac; 
5841  902 

30609
983e8b6e4e69
Disposed old declarations, tactics, tactic combinators that refer to the simpset or claset of an implicit theory;
wenzelm
parents:
30558
diff
changeset

903 
in 
7281  904 

30609
983e8b6e4e69
Disposed old declarations, tactics, tactic combinators that refer to the simpset or claset of an implicit theory;
wenzelm
parents:
30558
diff
changeset

905 
fun rule_tac ctxt [] facts = some_rule_tac ctxt facts 
983e8b6e4e69
Disposed old declarations, tactics, tactic combinators that refer to the simpset or claset of an implicit theory;
wenzelm
parents:
30558
diff
changeset

906 
 rule_tac _ rules facts = Method.rule_tac 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

907 

983e8b6e4e69
Disposed old declarations, tactics, tactic combinators that refer to the simpset or claset of an implicit theory;
wenzelm
parents:
30558
diff
changeset

908 
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

909 
HEADGOAL (rule_tac ctxt rules facts) ORELSE 
26470  910 
Class.default_intro_tac ctxt facts; 
10309  911 

7230  912 
end; 
5841  913 

914 

6502  915 
(* automatic methods *) 
5841  916 

5927  917 
val cla_modifiers = 
18728  918 
[Args.$$$ destN  Args.bang_colon >> K ((I, safe_dest NONE): Method.modifier), 
919 
Args.$$$ destN  Args.colon >> K (I, haz_dest NONE), 

920 
Args.$$$ elimN  Args.bang_colon >> K (I, safe_elim NONE), 

921 
Args.$$$ elimN  Args.colon >> K (I, haz_elim NONE), 

922 
Args.$$$ introN  Args.bang_colon >> K (I, safe_intro NONE), 

923 
Args.$$$ introN  Args.colon >> K (I, haz_intro NONE), 

924 
Args.del  Args.colon >> K (I, rule_del)]; 

5927  925 

42793  926 
fun cla_method tac = Method.sections cla_modifiers >> K (SIMPLE_METHOD o tac); 
927 
fun cla_method' tac = Method.sections cla_modifiers >> K (SIMPLE_METHOD' o tac); 

5841  928 

929 

930 

931 
(** setup_methods **) 

932 

30541  933 
val setup_methods = 
30609
983e8b6e4e69
Disposed old declarations, tactics, tactic combinators that refer to the simpset or claset of an implicit theory;
wenzelm
parents:
30558
diff
changeset

934 
Method.setup @{binding default} 
983e8b6e4e69
Disposed old declarations, tactics, tactic combinators that refer to the simpset or claset of an implicit theory;
wenzelm
parents:
30558
diff
changeset

935 
(Attrib.thms >> (fn rules => fn ctxt => METHOD (default_tac ctxt rules))) 
30541  936 
"apply some intro/elim rule (potentially classical)" #> 
30609
983e8b6e4e69
Disposed old declarations, tactics, tactic combinators that refer to the simpset or claset of an implicit theory;
wenzelm
parents:
30558
diff
changeset

937 
Method.setup @{binding rule} 
983e8b6e4e69
Disposed old declarations, tactics, tactic combinators that refer to the simpset or claset of an implicit theory;
wenzelm
parents:
30558
diff
changeset

938 
(Attrib.thms >> (fn rules => fn ctxt => METHOD (HEADGOAL o rule_tac ctxt rules))) 
30541  939 
"apply some intro/elim rule (potentially classical)" #> 
50112
11cd86c5af3a
tuned  eliminate pointless ML method definition;
wenzelm
parents:
50108
diff
changeset

940 
Method.setup @{binding contradiction} 
11cd86c5af3a
tuned  eliminate pointless ML method definition;
wenzelm
parents:
50108
diff
changeset

941 
(Scan.succeed (K (Method.rule [Data.not_elim, Drule.rotate_prems 1 Data.not_elim]))) 
30541  942 
"proof by contradiction" #> 
943 
Method.setup @{binding clarify} (cla_method' (CHANGED_PROP oo clarify_tac)) 

944 
"repeatedly apply safe steps" #> 

945 
Method.setup @{binding fast} (cla_method' fast_tac) "classical prover (depthfirst)" #> 

946 
Method.setup @{binding slow} (cla_method' slow_tac) "classical prover (slow depthfirst)" #> 

947 
Method.setup @{binding best} (cla_method' best_tac) "classical prover (bestfirst)" #> 

42798  948 
Method.setup @{binding deepen} 
949 
(Scan.lift (Scan.optional Parse.nat 4)  Method.sections cla_modifiers 

950 
>> (fn n => fn ctxt => SIMPLE_METHOD' (deepen_tac ctxt n))) 

30541  951 
"classical prover (iterative deepening)" #> 
952 
Method.setup @{binding safe} (cla_method (CHANGED_PROP o safe_tac)) 

50108  953 
"classical prover (apply safe rules)" #> 
954 
Method.setup @{binding safe_step} (cla_method' safe_step_tac) 

955 
"single classical step (safe rules)" #> 

956 
Method.setup @{binding inst_step} (cla_method' inst_step_tac) 

957 
"single classical step (safe rules, allow instantiations)" #> 

958 
Method.setup @{binding step} (cla_method' step_tac) 

959 
"single classical step (safe and unsafe rules)" #> 

960 
Method.setup @{binding slow_step} (cla_method' slow_step_tac) 

961 
"single classical step (safe and unsafe rules, allow backtracking)" #> 

962 
Method.setup @{binding clarify_step} (cla_method' clarify_step_tac) 

963 
"single classical step (safe rules, without splitting)"; 

5841  964 

965 

966 

967 
(** theory setup **) 

968 

26497
1873915c64a9
purely functional setup of claset/simpset/clasimpset;
wenzelm
parents:
26470
diff
changeset

969 
val setup = setup_attrs #> setup_methods; 
5841  970 

971 

8667  972 

973 
(** outer syntax **) 

974 

24867  975 
val _ = 
46961
5c6955f487e5
outer syntax command definitions based on formal command_spec derived from theory header declarations;
wenzelm
parents:
46874
diff
changeset

976 
Outer_Syntax.improper_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

977 
(Scan.succeed (Toplevel.unknown_context o Toplevel.keep (print_claset o Toplevel.context_of))); 
8667  978 

5841  979 
end; 