author | wenzelm |
Tue, 13 Jun 2006 23:41:37 +0200 | |
changeset 19875 | 7405ce9d4f25 |
parent 19728 | 6c47d9295dca |
child 19894 | 7c7e15b27145 |
permissions | -rw-r--r-- |
9869 | 1 |
(* Title: HOL/Tools/meson.ML |
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ID: $Id$ |
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3 |
Author: Lawrence C Paulson, Cambridge University Computer Laboratory |
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Copyright 1992 University of Cambridge |
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The MESON resolution proof procedure for HOL. |
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|
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When making clauses, avoids using the rewriter -- instead uses RS recursively |
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|
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NEED TO SORT LITERALS BY # OF VARS, USING ==>I/E. ELIMINATES NEED FOR |
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FUNCTION nodups -- if done to goal clauses too! |
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*) |
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|
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signature BASIC_MESON = |
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sig |
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val size_of_subgoals : thm -> int |
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val make_cnf : thm list -> thm -> thm list |
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val make_nnf : thm -> thm |
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val make_nnf1 : thm -> thm |
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val skolemize : thm -> thm |
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val make_clauses : thm list -> thm list |
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val make_horns : thm list -> thm list |
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val best_prolog_tac : (thm -> int) -> thm list -> tactic |
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val depth_prolog_tac : thm list -> tactic |
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val gocls : thm list -> thm list |
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val skolemize_prems_tac : thm list -> int -> tactic |
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val MESON : (thm list -> tactic) -> int -> tactic |
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val best_meson_tac : (thm -> int) -> int -> tactic |
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val safe_best_meson_tac : int -> tactic |
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val depth_meson_tac : int -> tactic |
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val prolog_step_tac' : thm list -> int -> tactic |
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val iter_deepen_prolog_tac : thm list -> tactic |
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val iter_deepen_meson_tac : thm list -> int -> tactic |
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val meson_tac : int -> tactic |
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val negate_head : thm -> thm |
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val select_literal : int -> thm -> thm |
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val skolemize_tac : int -> tactic |
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val make_clauses_tac : int -> tactic |
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val check_is_fol_term : term -> term |
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end |
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|
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|
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structure Meson = |
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struct |
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|
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val not_conjD = thm "meson_not_conjD"; |
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val not_disjD = thm "meson_not_disjD"; |
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val not_notD = thm "meson_not_notD"; |
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val not_allD = thm "meson_not_allD"; |
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val not_exD = thm "meson_not_exD"; |
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val imp_to_disjD = thm "meson_imp_to_disjD"; |
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val not_impD = thm "meson_not_impD"; |
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val iff_to_disjD = thm "meson_iff_to_disjD"; |
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val not_iffD = thm "meson_not_iffD"; |
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val conj_exD1 = thm "meson_conj_exD1"; |
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val conj_exD2 = thm "meson_conj_exD2"; |
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val disj_exD = thm "meson_disj_exD"; |
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val disj_exD1 = thm "meson_disj_exD1"; |
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val disj_exD2 = thm "meson_disj_exD2"; |
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val disj_assoc = thm "meson_disj_assoc"; |
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val disj_comm = thm "meson_disj_comm"; |
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val disj_FalseD1 = thm "meson_disj_FalseD1"; |
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val disj_FalseD2 = thm "meson_disj_FalseD2"; |
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val depth_limit = ref 2000; |
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(**** Operators for forward proof ****) |
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|
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(*Like RS, but raises Option if there are no unifiers and allows multiple unifiers.*) |
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fun resolve1 (tha,thb) = Seq.hd (biresolution false [(false,tha)] 1 thb); |
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(*raises exception if no rules apply -- unlike RL*) |
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fun tryres (th, rls) = |
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let fun tryall [] = raise THM("tryres", 0, th::rls) |
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| tryall (rl::rls) = (resolve1(th,rl) handle Option.Option => tryall rls) |
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in tryall rls end; |
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(*Permits forward proof from rules that discharge assumptions*) |
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fun forward_res nf st = |
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case Seq.pull (ALLGOALS (METAHYPS (fn [prem] => rtac (nf prem) 1)) st) |
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of SOME(th,_) => th |
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| NONE => raise THM("forward_res", 0, [st]); |
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(*Are any of the constants in "bs" present in the term?*) |
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fun has_consts bs = |
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let fun has (Const(a,_)) = member (op =) bs a |
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| has (Const ("Hilbert_Choice.Eps",_) $ _) = false |
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(*ignore constants within @-terms*) |
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| has (f$u) = has f orelse has u |
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| has (Abs(_,_,t)) = has t |
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| has _ = false |
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in has end; |
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(**** Clause handling ****) |
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fun literals (Const("Trueprop",_) $ P) = literals P |
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| literals (Const("op |",_) $ P $ Q) = literals P @ literals Q |
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| literals (Const("Not",_) $ P) = [(false,P)] |
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| literals P = [(true,P)]; |
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(*number of literals in a term*) |
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val nliterals = length o literals; |
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(*** Tautology Checking ***) |
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||
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fun signed_lits_aux (Const ("op |", _) $ P $ Q) (poslits, neglits) = |
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signed_lits_aux Q (signed_lits_aux P (poslits, neglits)) |
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| signed_lits_aux (Const("Not",_) $ P) (poslits, neglits) = (poslits, P::neglits) |
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| signed_lits_aux P (poslits, neglits) = (P::poslits, neglits); |
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fun signed_lits th = signed_lits_aux (HOLogic.dest_Trueprop (concl_of th)) ([],[]); |
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(*Literals like X=X are tautologous*) |
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fun taut_poslit (Const("op =",_) $ t $ u) = t aconv u |
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| taut_poslit (Const("True",_)) = true |
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| taut_poslit _ = false; |
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fun is_taut th = |
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let val (poslits,neglits) = signed_lits th |
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in exists taut_poslit poslits |
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orelse |
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exists (fn t => mem_term (t, neglits)) (HOLogic.false_const :: poslits) |
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end; |
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||
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||
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(*** To remove trivial negated equality literals from clauses ***) |
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(*They are typically functional reflexivity axioms and are the converses of |
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injectivity equivalences*) |
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val not_refl_disj_D = thm"meson_not_refl_disj_D"; |
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fun refl_clause_aux 0 th = th |
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| refl_clause_aux n th = |
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case HOLogic.dest_Trueprop (concl_of th) of |
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(Const ("op |", _) $ (Const ("op |", _) $ _ $ _) $ _) => |
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refl_clause_aux n (th RS disj_assoc) (*isolate an atom as first disjunct*) |
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| (Const ("op |", _) $ (Const("Not",_) $ (Const("op =",_) $ t $ u)) $ _) => |
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if is_Var t orelse is_Var u then (*Var inequation: delete or ignore*) |
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(refl_clause_aux (n-1) (th RS not_refl_disj_D) (*delete*) |
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handle THM _ => refl_clause_aux (n-1) (th RS disj_comm)) (*ignore*) |
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else refl_clause_aux (n-1) (th RS disj_comm) (*not between Vars: ignore*) |
|
146 |
| (Const ("op |", _) $ _ $ _) => refl_clause_aux n (th RS disj_comm) |
|
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| _ => (*not a disjunction*) th; |
18389 | 148 |
|
149 |
fun notequal_lits_count (Const ("op |", _) $ P $ Q) = |
|
150 |
notequal_lits_count P + notequal_lits_count Q |
|
151 |
| notequal_lits_count (Const("Not",_) $ (Const("op =",_) $ _ $ _)) = 1 |
|
152 |
| notequal_lits_count _ = 0; |
|
153 |
||
154 |
(*Simplify a clause by applying reflexivity to its negated equality literals*) |
|
155 |
fun refl_clause th = |
|
156 |
let val neqs = notequal_lits_count (HOLogic.dest_Trueprop (concl_of th)) |
|
157 |
in zero_var_indexes (refl_clause_aux neqs th) end; |
|
158 |
||
159 |
||
160 |
(*** The basic CNF transformation ***) |
|
161 |
||
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162 |
(*Replaces universally quantified variables by FREE variables -- because |
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assumptions may not contain scheme variables. Later, call "generalize". *) |
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164 |
fun freeze_spec th = |
19728 | 165 |
let val newname = gensym "A_" |
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val spec' = read_instantiate [("x", newname)] spec |
167 |
in th RS spec' end; |
|
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168 |
|
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|
169 |
(*Used with METAHYPS below. There is one assumption, which gets bound to prem |
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and then normalized via function nf. The normal form is given to resolve_tac, |
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presumably to instantiate a Boolean variable.*) |
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fun resop nf [prem] = resolve_tac (nf prem) 1; |
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173 |
|
18389 | 174 |
val has_meta_conn = |
175 |
exists_Const (fn (c,_) => c mem_string ["==", "==>", "all", "prop"]); |
|
176 |
||
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177 |
(*Conjunctive normal form, adding clauses from th in front of ths (for foldr). |
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|
178 |
Strips universal quantifiers and breaks up conjunctions. |
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|
179 |
Eliminates existential quantifiers using skoths: Skolemization theorems.*) |
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180 |
fun cnf skoths (th,ths) = |
18389 | 181 |
let fun cnf_aux (th,ths) = |
182 |
if has_meta_conn (prop_of th) then ths (*meta-level: ignore*) |
|
183 |
else if not (has_consts ["All","Ex","op &"] (prop_of th)) |
|
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184 |
then th::ths (*no work to do, terminate*) |
16588 | 185 |
else case head_of (HOLogic.dest_Trueprop (concl_of th)) of |
186 |
Const ("op &", _) => (*conjunction*) |
|
18389 | 187 |
cnf_aux (th RS conjunct1, |
188 |
cnf_aux (th RS conjunct2, ths)) |
|
16588 | 189 |
| Const ("All", _) => (*universal quantifier*) |
18389 | 190 |
cnf_aux (freeze_spec th, ths) |
16588 | 191 |
| Const ("Ex", _) => |
192 |
(*existential quantifier: Insert Skolem functions*) |
|
18389 | 193 |
cnf_aux (tryres (th,skoths), ths) |
16588 | 194 |
| Const ("op |", _) => (*disjunction*) |
195 |
let val tac = |
|
18389 | 196 |
(METAHYPS (resop cnf_nil) 1) THEN |
19154 | 197 |
(fn st' => st' |> METAHYPS (resop cnf_nil) 1) |
16588 | 198 |
in Seq.list_of (tac (th RS disj_forward)) @ ths end |
199 |
| _ => (*no work to do*) th::ths |
|
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and cnf_nil th = cnf_aux (th,[]) |
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201 |
in |
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202 |
cnf_aux (th,ths) |
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203 |
end; |
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|
204 |
|
16012 | 205 |
(*Convert all suitable free variables to schematic variables, |
206 |
but don't discharge assumptions.*) |
|
16173 | 207 |
fun generalize th = Thm.varifyT (forall_elim_vars 0 (forall_intr_frees th)); |
16012 | 208 |
|
18389 | 209 |
fun make_cnf skoths th = |
210 |
filter (not o is_taut) |
|
211 |
(map (refl_clause o generalize) (cnf skoths (th, []))); |
|
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|
212 |
|
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|
213 |
|
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|
214 |
(**** Removal of duplicate literals ****) |
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|
215 |
|
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|
216 |
(*Forward proof, passing extra assumptions as theorems to the tactic*) |
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|
217 |
fun forward_res2 nf hyps st = |
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218 |
case Seq.pull |
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219 |
(REPEAT |
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220 |
(METAHYPS (fn major::minors => rtac (nf (minors@hyps) major) 1) 1) |
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221 |
st) |
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|
222 |
of SOME(th,_) => th |
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223 |
| NONE => raise THM("forward_res2", 0, [st]); |
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|
224 |
|
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|
225 |
(*Remove duplicates in P|Q by assuming ~P in Q |
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|
226 |
rls (initially []) accumulates assumptions of the form P==>False*) |
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fun nodups_aux rls th = nodups_aux rls (th RS disj_assoc) |
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228 |
handle THM _ => tryres(th,rls) |
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|
229 |
handle THM _ => tryres(forward_res2 nodups_aux rls (th RS disj_forward2), |
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|
230 |
[disj_FalseD1, disj_FalseD2, asm_rl]) |
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|
231 |
handle THM _ => th; |
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|
232 |
|
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|
233 |
(*Remove duplicate literals, if there are any*) |
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|
234 |
fun nodups th = |
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|
235 |
if null(findrep(literals(prop_of th))) then th |
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|
236 |
else nodups_aux [] th; |
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|
237 |
|
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|
238 |
|
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|
239 |
(**** Generation of contrapositives ****) |
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|
240 |
|
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|
241 |
(*Associate disjuctions to right -- make leftmost disjunct a LITERAL*) |
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242 |
fun assoc_right th = assoc_right (th RS disj_assoc) |
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|
243 |
handle THM _ => th; |
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|
244 |
|
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|
245 |
(*Must check for negative literal first!*) |
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|
246 |
val clause_rules = [disj_assoc, make_neg_rule, make_pos_rule]; |
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|
247 |
|
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|
248 |
(*For ordinary resolution. *) |
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|
249 |
val resolution_clause_rules = [disj_assoc, make_neg_rule', make_pos_rule']; |
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|
250 |
|
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|
251 |
(*Create a goal or support clause, conclusing False*) |
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|
252 |
fun make_goal th = (*Must check for negative literal first!*) |
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|
253 |
make_goal (tryres(th, clause_rules)) |
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|
254 |
handle THM _ => tryres(th, [make_neg_goal, make_pos_goal]); |
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|
255 |
|
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|
256 |
(*Sort clauses by number of literals*) |
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|
257 |
fun fewerlits(th1,th2) = nliterals(prop_of th1) < nliterals(prop_of th2); |
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|
258 |
|
18389 | 259 |
fun sort_clauses ths = sort (make_ord fewerlits) ths; |
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|
260 |
|
15581 | 261 |
(*True if the given type contains bool anywhere*) |
262 |
fun has_bool (Type("bool",_)) = true |
|
263 |
| has_bool (Type(_, Ts)) = exists has_bool Ts |
|
264 |
| has_bool _ = false; |
|
265 |
||
15613 | 266 |
(*Is the string the name of a connective? It doesn't matter if this list is |
267 |
incomplete, since when actually called, the only connectives likely to |
|
268 |
remain are & | Not.*) |
|
19875 | 269 |
val is_conn = member (op =) |
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|
270 |
["Trueprop", "HOL.tag", "op &", "op |", "op -->", "op =", "Not", |
15613 | 271 |
"All", "Ex", "Ball", "Bex"]; |
272 |
||
273 |
(*True if the term contains a function where the type of any argument contains |
|
274 |
bool.*) |
|
275 |
val has_bool_arg_const = |
|
276 |
exists_Const |
|
277 |
(fn (c,T) => not(is_conn c) andalso exists (has_bool) (binder_types T)); |
|
15908 | 278 |
|
16588 | 279 |
(*Raises an exception if any Vars in the theorem mention type bool; they |
280 |
could cause make_horn to loop! Also rejects functions whose arguments are |
|
281 |
Booleans or other functions.*) |
|
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|
282 |
fun is_fol_term t = |
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|
283 |
not (exists (has_bool o fastype_of) (term_vars t) orelse |
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|
284 |
not (Term.is_first_order ["all","All","Ex"] t) orelse |
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|
285 |
has_bool_arg_const t orelse |
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|
286 |
has_meta_conn t); |
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|
287 |
|
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|
288 |
(*FIXME: replace this by the boolean-valued version above!*) |
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|
289 |
fun check_is_fol_term t = |
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|
290 |
if is_fol_term t then t else raise TERM("check_is_fol_term",[t]); |
18194
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|
291 |
|
18508 | 292 |
fun check_is_fol th = (check_is_fol_term (prop_of th); th); |
293 |
||
18194
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|
294 |
|
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|
295 |
(*Create a meta-level Horn clause*) |
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|
296 |
fun make_horn crules th = make_horn crules (tryres(th,crules)) |
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|
297 |
handle THM _ => th; |
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|
298 |
|
16563 | 299 |
(*Generate Horn clauses for all contrapositives of a clause. The input, th, |
300 |
is a HOL disjunction.*) |
|
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|
301 |
fun add_contras crules (th,hcs) = |
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|
302 |
let fun rots (0,th) = hcs |
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|
303 |
| rots (k,th) = zero_var_indexes (make_horn crules th) :: |
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|
304 |
rots(k-1, assoc_right (th RS disj_comm)) |
15862 | 305 |
in case nliterals(prop_of th) of |
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|
306 |
1 => th::hcs |
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|
307 |
| n => rots(n, assoc_right th) |
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|
308 |
end; |
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changeset
|
309 |
|
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diff
changeset
|
310 |
(*Use "theorem naming" to label the clauses*) |
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diff
changeset
|
311 |
fun name_thms label = |
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diff
changeset
|
312 |
let fun name1 (th, (k,ths)) = |
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diff
changeset
|
313 |
(k-1, Thm.name_thm (label ^ string_of_int k, th) :: ths) |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
314 |
|
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diff
changeset
|
315 |
in fn ths => #2 (foldr name1 (length ths, []) ths) end; |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
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parents:
diff
changeset
|
316 |
|
16563 | 317 |
(*Is the given disjunction an all-negative support clause?*) |
15579
32bee18c675f
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diff
changeset
|
318 |
fun is_negative th = forall (not o #1) (literals (prop_of th)); |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
319 |
|
15579
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Tools/meson.ML: signature, structure and "open" rather than "local"
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parents:
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diff
changeset
|
320 |
val neg_clauses = List.filter is_negative; |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
321 |
|
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
322 |
|
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Tools/meson.ML: signature, structure and "open" rather than "local"
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parents:
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diff
changeset
|
323 |
(***** MESON PROOF PROCEDURE *****) |
9840
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meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
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parents:
diff
changeset
|
324 |
|
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diff
changeset
|
325 |
fun rhyps (Const("==>",_) $ (Const("Trueprop",_) $ A) $ phi, |
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diff
changeset
|
326 |
As) = rhyps(phi, A::As) |
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Tools/meson.ML: signature, structure and "open" rather than "local"
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diff
changeset
|
327 |
| rhyps (_, As) = As; |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
328 |
|
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Tools/meson.ML: signature, structure and "open" rather than "local"
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diff
changeset
|
329 |
(** Detecting repeated assumptions in a subgoal **) |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
330 |
|
15579
32bee18c675f
Tools/meson.ML: signature, structure and "open" rather than "local"
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diff
changeset
|
331 |
(*The stringtree detects repeated assumptions.*) |
16801 | 332 |
fun ins_term (net,t) = Net.insert_term (op aconv) (t,t) net; |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
333 |
|
15579
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Tools/meson.ML: signature, structure and "open" rather than "local"
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diff
changeset
|
334 |
(*detects repetitions in a list of terms*) |
32bee18c675f
Tools/meson.ML: signature, structure and "open" rather than "local"
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parents:
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diff
changeset
|
335 |
fun has_reps [] = false |
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Tools/meson.ML: signature, structure and "open" rather than "local"
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diff
changeset
|
336 |
| has_reps [_] = false |
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parents:
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diff
changeset
|
337 |
| has_reps [t,u] = (t aconv u) |
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Tools/meson.ML: signature, structure and "open" rather than "local"
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parents:
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diff
changeset
|
338 |
| has_reps ts = (Library.foldl ins_term (Net.empty, ts); false) |
19875 | 339 |
handle Net.INSERT => true; |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
340 |
|
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parents:
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diff
changeset
|
341 |
(*Like TRYALL eq_assume_tac, but avoids expensive THEN calls*) |
18508 | 342 |
fun TRYING_eq_assume_tac 0 st = Seq.single st |
343 |
| TRYING_eq_assume_tac i st = |
|
344 |
TRYING_eq_assume_tac (i-1) (eq_assumption i st) |
|
345 |
handle THM _ => TRYING_eq_assume_tac (i-1) st; |
|
346 |
||
347 |
fun TRYALL_eq_assume_tac st = TRYING_eq_assume_tac (nprems_of st) st; |
|
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
348 |
|
15579
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Tools/meson.ML: signature, structure and "open" rather than "local"
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parents:
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diff
changeset
|
349 |
(*Loop checking: FAIL if trying to prove the same thing twice |
32bee18c675f
Tools/meson.ML: signature, structure and "open" rather than "local"
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diff
changeset
|
350 |
-- if *ANY* subgoal has repeated literals*) |
32bee18c675f
Tools/meson.ML: signature, structure and "open" rather than "local"
paulson
parents:
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diff
changeset
|
351 |
fun check_tac st = |
32bee18c675f
Tools/meson.ML: signature, structure and "open" rather than "local"
paulson
parents:
15574
diff
changeset
|
352 |
if exists (fn prem => has_reps (rhyps(prem,[]))) (prems_of st) |
32bee18c675f
Tools/meson.ML: signature, structure and "open" rather than "local"
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parents:
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diff
changeset
|
353 |
then Seq.empty else Seq.single st; |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
354 |
|
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
355 |
|
15579
32bee18c675f
Tools/meson.ML: signature, structure and "open" rather than "local"
paulson
parents:
15574
diff
changeset
|
356 |
(* net_resolve_tac actually made it slower... *) |
32bee18c675f
Tools/meson.ML: signature, structure and "open" rather than "local"
paulson
parents:
15574
diff
changeset
|
357 |
fun prolog_step_tac horns i = |
32bee18c675f
Tools/meson.ML: signature, structure and "open" rather than "local"
paulson
parents:
15574
diff
changeset
|
358 |
(assume_tac i APPEND resolve_tac horns i) THEN check_tac THEN |
18508 | 359 |
TRYALL_eq_assume_tac; |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
360 |
|
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
361 |
(*Sums the sizes of the subgoals, ignoring hypotheses (ancestors)*) |
15579
32bee18c675f
Tools/meson.ML: signature, structure and "open" rather than "local"
paulson
parents:
15574
diff
changeset
|
362 |
fun addconcl(prem,sz) = size_of_term(Logic.strip_assums_concl prem) + sz |
32bee18c675f
Tools/meson.ML: signature, structure and "open" rather than "local"
paulson
parents:
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diff
changeset
|
363 |
|
32bee18c675f
Tools/meson.ML: signature, structure and "open" rather than "local"
paulson
parents:
15574
diff
changeset
|
364 |
fun size_of_subgoals st = foldr addconcl 0 (prems_of st); |
32bee18c675f
Tools/meson.ML: signature, structure and "open" rather than "local"
paulson
parents:
15574
diff
changeset
|
365 |
|
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
366 |
|
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
367 |
(*Negation Normal Form*) |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
368 |
val nnf_rls = [imp_to_disjD, iff_to_disjD, not_conjD, not_disjD, |
9869 | 369 |
not_impD, not_iffD, not_allD, not_exD, not_notD]; |
15581 | 370 |
|
371 |
fun make_nnf1 th = make_nnf1 (tryres(th, nnf_rls)) |
|
9869 | 372 |
handle THM _ => |
15581 | 373 |
forward_res make_nnf1 |
9869 | 374 |
(tryres(th, [conj_forward,disj_forward,all_forward,ex_forward])) |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
375 |
handle THM _ => th; |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
376 |
|
18405
afb1a52a7011
removal of some redundancies (e.g. one-point-rules) in clause production
paulson
parents:
18389
diff
changeset
|
377 |
(*The simplification removes defined quantifiers and occurrences of True and False, |
afb1a52a7011
removal of some redundancies (e.g. one-point-rules) in clause production
paulson
parents:
18389
diff
changeset
|
378 |
as well as tags applied to True and False. nnf_ss also includes the one-point simprocs, |
afb1a52a7011
removal of some redundancies (e.g. one-point-rules) in clause production
paulson
parents:
18389
diff
changeset
|
379 |
which are needed to avoid the various one-point theorems from generating junk clauses.*) |
17404
d16c3a62c396
the experimental tagging system, and the usual tidying
paulson
parents:
16801
diff
changeset
|
380 |
val tag_True = thm "tag_True"; |
d16c3a62c396
the experimental tagging system, and the usual tidying
paulson
parents:
16801
diff
changeset
|
381 |
val tag_False = thm "tag_False"; |
d16c3a62c396
the experimental tagging system, and the usual tidying
paulson
parents:
16801
diff
changeset
|
382 |
val nnf_simps = [Ex1_def,Ball_def,Bex_def,tag_True,tag_False] |
18405
afb1a52a7011
removal of some redundancies (e.g. one-point-rules) in clause production
paulson
parents:
18389
diff
changeset
|
383 |
|
afb1a52a7011
removal of some redundancies (e.g. one-point-rules) in clause production
paulson
parents:
18389
diff
changeset
|
384 |
val nnf_ss = |
afb1a52a7011
removal of some redundancies (e.g. one-point-rules) in clause production
paulson
parents:
18389
diff
changeset
|
385 |
HOL_basic_ss addsimps |
18752
c9c6ae9e8b88
Clausification now handles some IFs in rewrite rules (if-split did not work)
paulson
parents:
18708
diff
changeset
|
386 |
(nnf_simps @ [if_True, if_False, if_cancel, if_eq_cancel, cases_simp] @ |
c9c6ae9e8b88
Clausification now handles some IFs in rewrite rules (if-split did not work)
paulson
parents:
18708
diff
changeset
|
387 |
thms"split_ifs" @ ex_simps @ all_simps @ simp_thms) |
c9c6ae9e8b88
Clausification now handles some IFs in rewrite rules (if-split did not work)
paulson
parents:
18708
diff
changeset
|
388 |
addsimprocs [defALL_regroup,defEX_regroup,neq_simproc,let_simproc]; |
15872 | 389 |
|
390 |
fun make_nnf th = th |> simplify nnf_ss |
|
18194
940515d2fa26
-- removed "check_is_fol" from "make_nnf" so that the NNF procedure doesn't check whether a thm is FOL.
mengj
parents:
18175
diff
changeset
|
391 |
|> make_nnf1 |
15581 | 392 |
|
15965
f422f8283491
Use of IntInf.int instead of int in most numeric simprocs; avoids
paulson
parents:
15946
diff
changeset
|
393 |
(*Pull existential quantifiers to front. This accomplishes Skolemization for |
f422f8283491
Use of IntInf.int instead of int in most numeric simprocs; avoids
paulson
parents:
15946
diff
changeset
|
394 |
clauses that arise from a subgoal.*) |
9869 | 395 |
fun skolemize th = |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
396 |
if not (has_consts ["Ex"] (prop_of th)) then th |
15773
f14ae2432710
Completed integration of reconstruction code. Now finds and displays proofs when used with modified version
quigley
parents:
15736
diff
changeset
|
397 |
else (skolemize (tryres(th, [choice, conj_exD1, conj_exD2, |
15679
28eb0fe50533
Integrating the reconstruction files into the building of HOL
quigley
parents:
15653
diff
changeset
|
398 |
disj_exD, disj_exD1, disj_exD2]))) |
9869 | 399 |
handle THM _ => |
400 |
skolemize (forward_res skolemize |
|
401 |
(tryres (th, [conj_forward, disj_forward, all_forward]))) |
|
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
402 |
handle THM _ => forward_res skolemize (th RS ex_forward); |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
403 |
|
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
404 |
|
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
405 |
(*Make clauses from a list of theorems, previously Skolemized and put into nnf. |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
406 |
The resulting clauses are HOL disjunctions.*) |
9869 | 407 |
fun make_clauses ths = |
15998
bc916036cf84
new cnf function taking Skolemization theorems as an extra argument
paulson
parents:
15965
diff
changeset
|
408 |
(sort_clauses (map (generalize o nodups) (foldr (cnf[]) [] ths))); |
15773
f14ae2432710
Completed integration of reconstruction code. Now finds and displays proofs when used with modified version
quigley
parents:
15736
diff
changeset
|
409 |
|
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
410 |
|
16563 | 411 |
(*Convert a list of clauses (disjunctions) to Horn clauses (contrapositives)*) |
9869 | 412 |
fun make_horns ths = |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
413 |
name_thms "Horn#" |
19046
bc5c6c9b114e
removed distinct, renamed gen_distinct to distinct;
wenzelm
parents:
18817
diff
changeset
|
414 |
(distinct Drule.eq_thm_prop (foldr (add_contras clause_rules) [] ths)); |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
415 |
|
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
416 |
(*Could simply use nprems_of, which would count remaining subgoals -- no |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
417 |
discrimination as to their size! With BEST_FIRST, fails for problem 41.*) |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
418 |
|
9869 | 419 |
fun best_prolog_tac sizef horns = |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
420 |
BEST_FIRST (has_fewer_prems 1, sizef) (prolog_step_tac horns 1); |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
421 |
|
9869 | 422 |
fun depth_prolog_tac horns = |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
423 |
DEPTH_FIRST (has_fewer_prems 1) (prolog_step_tac horns 1); |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
424 |
|
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
425 |
(*Return all negative clauses, as possible goal clauses*) |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
426 |
fun gocls cls = name_thms "Goal#" (map make_goal (neg_clauses cls)); |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
427 |
|
15008 | 428 |
fun skolemize_prems_tac prems = |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
429 |
cut_facts_tac (map (skolemize o make_nnf) prems) THEN' |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
430 |
REPEAT o (etac exE); |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
431 |
|
18141
89e2e8bed08f
Skolemization by inference, but not quite finished
paulson
parents:
18024
diff
changeset
|
432 |
(*Expand all definitions (presumably of Skolem functions) in a proof state.*) |
89e2e8bed08f
Skolemization by inference, but not quite finished
paulson
parents:
18024
diff
changeset
|
433 |
fun expand_defs_tac st = |
89e2e8bed08f
Skolemization by inference, but not quite finished
paulson
parents:
18024
diff
changeset
|
434 |
let val defs = filter (can dest_equals) (#hyps (crep_thm st)) |
18817 | 435 |
in LocalDefs.def_export false defs st end; |
18141
89e2e8bed08f
Skolemization by inference, but not quite finished
paulson
parents:
18024
diff
changeset
|
436 |
|
16588 | 437 |
(*Basis of all meson-tactics. Supplies cltac with clauses: HOL disjunctions*) |
438 |
fun MESON cltac i st = |
|
439 |
SELECT_GOAL |
|
18141
89e2e8bed08f
Skolemization by inference, but not quite finished
paulson
parents:
18024
diff
changeset
|
440 |
(EVERY [rtac ccontr 1, |
16588 | 441 |
METAHYPS (fn negs => |
442 |
EVERY1 [skolemize_prems_tac negs, |
|
18141
89e2e8bed08f
Skolemization by inference, but not quite finished
paulson
parents:
18024
diff
changeset
|
443 |
METAHYPS (cltac o make_clauses)]) 1, |
89e2e8bed08f
Skolemization by inference, but not quite finished
paulson
parents:
18024
diff
changeset
|
444 |
expand_defs_tac]) i st |
18508 | 445 |
handle TERM _ => no_tac st; (*probably from check_is_fol*) |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
446 |
|
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
447 |
(** Best-first search versions **) |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
448 |
|
16563 | 449 |
(*ths is a list of additional clauses (HOL disjunctions) to use.*) |
9869 | 450 |
fun best_meson_tac sizef = |
451 |
MESON (fn cls => |
|
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
452 |
THEN_BEST_FIRST (resolve_tac (gocls cls) 1) |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
453 |
(has_fewer_prems 1, sizef) |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
454 |
(prolog_step_tac (make_horns cls) 1)); |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
455 |
|
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
456 |
(*First, breaks the goal into independent units*) |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
457 |
val safe_best_meson_tac = |
9869 | 458 |
SELECT_GOAL (TRY Safe_tac THEN |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
459 |
TRYALL (best_meson_tac size_of_subgoals)); |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
460 |
|
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
461 |
(** Depth-first search version **) |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
462 |
|
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
463 |
val depth_meson_tac = |
9869 | 464 |
MESON (fn cls => EVERY [resolve_tac (gocls cls) 1, |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
465 |
depth_prolog_tac (make_horns cls)]); |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
466 |
|
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
467 |
|
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
468 |
(** Iterative deepening version **) |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
469 |
|
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
470 |
(*This version does only one inference per call; |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
471 |
having only one eq_assume_tac speeds it up!*) |
9869 | 472 |
fun prolog_step_tac' horns = |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
473 |
let val (horn0s, hornps) = (*0 subgoals vs 1 or more*) |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
474 |
take_prefix Thm.no_prems horns |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
475 |
val nrtac = net_resolve_tac horns |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
476 |
in fn i => eq_assume_tac i ORELSE |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
477 |
match_tac horn0s i ORELSE (*no backtracking if unit MATCHES*) |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
478 |
((assume_tac i APPEND nrtac i) THEN check_tac) |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
479 |
end; |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
480 |
|
9869 | 481 |
fun iter_deepen_prolog_tac horns = |
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
482 |
ITER_DEEPEN (has_fewer_prems 1) (prolog_step_tac' horns); |
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
483 |
|
16563 | 484 |
fun iter_deepen_meson_tac ths = |
9869 | 485 |
MESON (fn cls => |
16563 | 486 |
case (gocls (cls@ths)) of |
487 |
[] => no_tac (*no goal clauses*) |
|
488 |
| goes => |
|
489 |
(THEN_ITER_DEEPEN (resolve_tac goes 1) |
|
490 |
(has_fewer_prems 1) |
|
491 |
(prolog_step_tac' (make_horns (cls@ths))))); |
|
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
492 |
|
16563 | 493 |
fun meson_claset_tac ths cs = |
494 |
SELECT_GOAL (TRY (safe_tac cs) THEN TRYALL (iter_deepen_meson_tac ths)); |
|
9869 | 495 |
|
16563 | 496 |
val meson_tac = CLASET' (meson_claset_tac []); |
9869 | 497 |
|
498 |
||
14813 | 499 |
(**** Code to support ordinary resolution, rather than Model Elimination ****) |
14744 | 500 |
|
15008 | 501 |
(*Convert a list of clauses (disjunctions) to meta-level clauses (==>), |
502 |
with no contrapositives, for ordinary resolution.*) |
|
14744 | 503 |
|
504 |
(*Rules to convert the head literal into a negated assumption. If the head |
|
505 |
literal is already negated, then using notEfalse instead of notEfalse' |
|
506 |
prevents a double negation.*) |
|
507 |
val notEfalse = read_instantiate [("R","False")] notE; |
|
508 |
val notEfalse' = rotate_prems 1 notEfalse; |
|
509 |
||
15448 | 510 |
fun negated_asm_of_head th = |
14744 | 511 |
th RS notEfalse handle THM _ => th RS notEfalse'; |
512 |
||
513 |
(*Converting one clause*) |
|
15581 | 514 |
fun make_meta_clause th = |
16588 | 515 |
negated_asm_of_head (make_horn resolution_clause_rules (check_is_fol th)); |
14744 | 516 |
|
517 |
fun make_meta_clauses ths = |
|
518 |
name_thms "MClause#" |
|
19046
bc5c6c9b114e
removed distinct, renamed gen_distinct to distinct;
wenzelm
parents:
18817
diff
changeset
|
519 |
(distinct Drule.eq_thm_prop (map make_meta_clause ths)); |
14744 | 520 |
|
521 |
(*Permute a rule's premises to move the i-th premise to the last position.*) |
|
522 |
fun make_last i th = |
|
523 |
let val n = nprems_of th |
|
524 |
in if 1 <= i andalso i <= n |
|
525 |
then Thm.permute_prems (i-1) 1 th |
|
15118 | 526 |
else raise THM("select_literal", i, [th]) |
14744 | 527 |
end; |
528 |
||
529 |
(*Maps a rule that ends "... ==> P ==> False" to "... ==> ~P" while suppressing |
|
530 |
double-negations.*) |
|
531 |
val negate_head = rewrite_rule [atomize_not, not_not RS eq_reflection]; |
|
532 |
||
533 |
(*Maps the clause [P1,...Pn]==>False to [P1,...,P(i-1),P(i+1),...Pn] ==> ~P*) |
|
534 |
fun select_literal i cl = negate_head (make_last i cl); |
|
535 |
||
18508 | 536 |
|
14813 | 537 |
(*Top-level Skolemization. Allows part of the conversion to clauses to be |
538 |
expressed as a tactic (or Isar method). Each assumption of the selected |
|
539 |
goal is converted to NNF and then its existential quantifiers are pulled |
|
540 |
to the front. Finally, all existential quantifiers are eliminated, |
|
541 |
leaving !!-quantified variables. Perhaps Safe_tac should follow, but it |
|
542 |
might generate many subgoals.*) |
|
18194
940515d2fa26
-- removed "check_is_fol" from "make_nnf" so that the NNF procedure doesn't check whether a thm is FOL.
mengj
parents:
18175
diff
changeset
|
543 |
|
19204
b8f7de7ef629
Tidying, and getting rid of SELECT_GOAL (as it does something different now)
paulson
parents:
19154
diff
changeset
|
544 |
fun skolemize_tac i st = |
b8f7de7ef629
Tidying, and getting rid of SELECT_GOAL (as it does something different now)
paulson
parents:
19154
diff
changeset
|
545 |
let val ts = Logic.strip_assums_hyp (List.nth (prems_of st, i-1)) |
b8f7de7ef629
Tidying, and getting rid of SELECT_GOAL (as it does something different now)
paulson
parents:
19154
diff
changeset
|
546 |
in |
b8f7de7ef629
Tidying, and getting rid of SELECT_GOAL (as it does something different now)
paulson
parents:
19154
diff
changeset
|
547 |
EVERY' [METAHYPS |
15773
f14ae2432710
Completed integration of reconstruction code. Now finds and displays proofs when used with modified version
quigley
parents:
15736
diff
changeset
|
548 |
(fn hyps => (cut_facts_tac (map (skolemize o make_nnf) hyps) 1 |
14813 | 549 |
THEN REPEAT (etac exE 1))), |
19204
b8f7de7ef629
Tidying, and getting rid of SELECT_GOAL (as it does something different now)
paulson
parents:
19154
diff
changeset
|
550 |
REPEAT_DETERM_N (length ts) o (etac thin_rl)] i st |
b8f7de7ef629
Tidying, and getting rid of SELECT_GOAL (as it does something different now)
paulson
parents:
19154
diff
changeset
|
551 |
end |
b8f7de7ef629
Tidying, and getting rid of SELECT_GOAL (as it does something different now)
paulson
parents:
19154
diff
changeset
|
552 |
handle Subscript => Seq.empty; |
18194
940515d2fa26
-- removed "check_is_fol" from "make_nnf" so that the NNF procedure doesn't check whether a thm is FOL.
mengj
parents:
18175
diff
changeset
|
553 |
|
15118 | 554 |
(*Top-level conversion to meta-level clauses. Each clause has |
555 |
leading !!-bound universal variables, to express generality. To get |
|
556 |
disjunctions instead of meta-clauses, remove "make_meta_clauses" below.*) |
|
15008 | 557 |
val make_clauses_tac = |
558 |
SUBGOAL |
|
559 |
(fn (prop,_) => |
|
560 |
let val ts = Logic.strip_assums_hyp prop |
|
561 |
in EVERY1 |
|
562 |
[METAHYPS |
|
563 |
(fn hyps => |
|
15151 | 564 |
(Method.insert_tac |
15118 | 565 |
(map forall_intr_vars |
566 |
(make_meta_clauses (make_clauses hyps))) 1)), |
|
15008 | 567 |
REPEAT_DETERM_N (length ts) o (etac thin_rl)] |
568 |
end); |
|
16563 | 569 |
|
570 |
||
571 |
(*** setup the special skoklemization methods ***) |
|
9869 | 572 |
|
16563 | 573 |
(*No CHANGED_PROP here, since these always appear in the preamble*) |
9869 | 574 |
|
16563 | 575 |
val skolemize_meth = Method.SIMPLE_METHOD' HEADGOAL skolemize_tac; |
576 |
||
577 |
val make_clauses_meth = Method.SIMPLE_METHOD' HEADGOAL make_clauses_tac; |
|
14890 | 578 |
|
16563 | 579 |
val skolemize_setup = |
18708 | 580 |
Method.add_methods |
581 |
[("skolemize", Method.no_args skolemize_meth, |
|
582 |
"Skolemization into existential quantifiers"), |
|
583 |
("make_clauses", Method.no_args make_clauses_meth, |
|
584 |
"Conversion to !!-quantified meta-level clauses")]; |
|
9840
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
585 |
|
9dfcb0224f8c
meson.ML moved from HOL/ex to HOL/Tools: meson_tac installed by default
paulson
parents:
diff
changeset
|
586 |
end; |
9869 | 587 |
|
15579
32bee18c675f
Tools/meson.ML: signature, structure and "open" rather than "local"
paulson
parents:
15574
diff
changeset
|
588 |
structure BasicMeson: BASIC_MESON = Meson; |
32bee18c675f
Tools/meson.ML: signature, structure and "open" rather than "local"
paulson
parents:
15574
diff
changeset
|
589 |
open BasicMeson; |