1 (* Title: Provers/clasimp.ML
3 Author: David von Oheimb, TU Muenchen
5 Combination of classical reasoner and simplifier (depends on
6 simplifier.ML, splitter.ML classical.ML, blast.ML).
9 infix 4 addSIs2 addSEs2 addSDs2 addIs2 addEs2 addDs2 addsimps2 delsimps2;
12 signature CLASIMP_DATA =
14 structure Simplifier: SIMPLIFIER
15 structure Splitter: SPLITTER
16 structure Classical: CLASSICAL
17 structure Blast: BLAST
18 sharing type Classical.claset = Blast.claset
27 val addSIs2 : clasimpset * thm list -> clasimpset
28 val addSEs2 : clasimpset * thm list -> clasimpset
29 val addSDs2 : clasimpset * thm list -> clasimpset
30 val addIs2 : clasimpset * thm list -> clasimpset
31 val addEs2 : clasimpset * thm list -> clasimpset
32 val addDs2 : clasimpset * thm list -> clasimpset
33 val addsimps2 : clasimpset * thm list -> clasimpset
34 val delsimps2 : clasimpset * thm list -> clasimpset
35 val addSss : claset * simpset -> claset
36 val addss : claset * simpset -> claset
37 val CLASIMPSET :(clasimpset -> tactic) -> tactic
38 val CLASIMPSET' :(clasimpset -> 'a -> tactic) -> 'a -> tactic
39 val clarsimp_tac: clasimpset -> int -> tactic
40 val Clarsimp_tac: int -> tactic
41 val mk_auto_tac : clasimpset -> int -> int -> tactic
42 val auto_tac : clasimpset -> tactic
44 val auto : unit -> unit
45 val force_tac : clasimpset -> int -> tactic
46 val Force_tac : int -> tactic
47 val force : int -> unit
48 val change_global_css: (clasimpset * thm list -> clasimpset) -> theory attribute
49 val change_local_css: (clasimpset * thm list -> clasimpset) -> Proof.context attribute
50 val setup : (theory -> theory) list
53 functor ClasimpFun(Data: CLASIMP_DATA): CLASIMP =
58 type claset = Classical.claset;
59 type simpset = Simplifier.simpset;
60 type clasimpset = claset * simpset;
63 (* clasimpset operations *)
65 (*this interface for updating a clasimpset is rudimentary and just for
66 convenience for the most common cases*)
68 fun pair_upd1 f ((a,b),x) = (f(a,x), b);
69 fun pair_upd2 f ((a,b),x) = (a, f(b,x));
71 fun op addSIs2 arg = pair_upd1 Classical.addSIs arg;
72 fun op addSEs2 arg = pair_upd1 Classical.addSEs arg;
73 fun op addSDs2 arg = pair_upd1 Classical.addSDs arg;
74 fun op addIs2 arg = pair_upd1 Classical.addIs arg;
75 fun op addEs2 arg = pair_upd1 Classical.addEs arg;
76 fun op addDs2 arg = pair_upd1 Classical.addDs arg;
77 fun op addsimps2 arg = pair_upd2 Simplifier.addsimps arg;
78 fun op delsimps2 arg = pair_upd2 Simplifier.delsimps arg;
80 (*not totally safe: may instantiate unknowns that appear also in other subgoals*)
81 val safe_asm_full_simp_tac = Simplifier.generic_simp_tac true (true,true,true);
83 (*Add a simpset to a classical set!*)
84 (*Caution: only one simpset added can be added by each of addSss and addss*)
85 fun cs addSss ss = Classical.addSaltern (cs, ("safe_asm_full_simp_tac",
86 CHANGED o safe_asm_full_simp_tac ss));
87 fun cs addss ss = Classical.addbefore (cs, ("asm_full_simp_tac",
88 CHANGED o Simplifier.asm_full_simp_tac ss));
92 fun CLASIMPSET tacf state =
93 Classical.CLASET (fn cs => Simplifier.SIMPSET (fn ss => tacf (cs, ss))) state;
95 fun CLASIMPSET' tacf i state =
96 Classical.CLASET (fn cs => Simplifier.SIMPSET (fn ss => tacf (cs, ss) i)) state;
99 fun clarsimp_tac (cs, ss) = safe_asm_full_simp_tac ss THEN_ALL_NEW
100 Classical.clarify_tac (cs addSss ss);
101 fun Clarsimp_tac i = clarsimp_tac (Classical.claset(), Simplifier.simpset()) i;
106 fun blast_depth_tac cs m i thm =
107 Blast.depth_tac cs m i thm
108 handle Blast.TRANS s => (warning ("Blast_tac: " ^ s); Seq.empty);
110 (* a variant of depth_tac that avoids interference of the simplifier
111 with dup_step_tac when they are combined by auto_tac *)
113 fun slow_step_tac' cs = Classical.appWrappers cs
114 (Classical.instp_step_tac cs APPEND' Classical.haz_step_tac cs);
115 in fun nodup_depth_tac cs m i state = SELECT_GOAL
116 (Classical.safe_steps_tac cs 1 THEN_ELSE
117 (DEPTH_SOLVE (nodup_depth_tac cs m 1),
118 Classical.inst0_step_tac cs 1 APPEND COND (K (m=0)) no_tac
119 (slow_step_tac' cs 1 THEN DEPTH_SOLVE (nodup_depth_tac cs (m-1) 1))
123 (*Designed to be idempotent, except if blast_depth_tac instantiates variables
124 in some of the subgoals*)
125 fun mk_auto_tac (cs, ss) m n =
126 let val cs' = cs addss ss
128 blast_depth_tac cs m (* fast but can't use wrappers *)
130 (CHANGED o nodup_depth_tac cs' n); (* slower but more general *)
131 in EVERY [ALLGOALS (Simplifier.asm_full_simp_tac ss),
132 TRY (Classical.safe_tac cs),
133 REPEAT (FIRSTGOAL maintac),
134 TRY (Classical.safe_tac (cs addSss ss)),
138 fun auto_tac (cs,ss) = mk_auto_tac (cs,ss) 4 2;
140 fun Auto_tac st = auto_tac (Classical.claset(), Simplifier.simpset()) st;
142 fun auto () = by Auto_tac;
146 (* aimed to solve the given subgoal totally, using whatever tools possible *)
147 fun force_tac (cs,ss) = let val cs' = cs addss ss in SELECT_GOAL (EVERY [
148 Classical.clarify_tac cs' 1,
149 IF_UNSOLVED (Simplifier.asm_full_simp_tac ss 1),
150 ALLGOALS (Classical.first_best_tac cs')]) end;
151 fun Force_tac i = force_tac (Classical.claset(), Simplifier.simpset()) i;
152 fun force i = by (Force_tac i);
157 fun change_global_css f (thy, th) =
159 val cs_ref = Classical.claset_ref_of thy;
160 val ss_ref = Simplifier.simpset_ref_of thy;
161 val (cs', ss') = f ((! cs_ref, ! ss_ref), [th]);
162 in cs_ref := cs'; ss_ref := ss'; (thy, th) end;
164 fun change_local_css f (ctxt, th) =
166 val cs = Classical.get_local_claset ctxt;
167 val ss = Simplifier.get_local_simpset ctxt;
168 val (cs', ss') = f ((cs, ss), [th]);
171 |> Classical.put_local_claset cs'
172 |> Simplifier.put_local_simpset ss';
178 fun get_local_clasimpset ctxt =
179 (Classical.get_local_claset ctxt, Simplifier.get_local_simpset ctxt);
181 val clasimp_modifiers =
182 Simplifier.simp_modifiers @ Splitter.split_modifiers @ Classical.cla_modifiers;
184 fun clasimp_meth tac prems ctxt = Method.METHOD (fn facts =>
185 ALLGOALS (Method.insert_tac (prems @ facts)) THEN tac (get_local_clasimpset ctxt));
187 fun clasimp_meth' tac prems ctxt = Method.METHOD (fn facts =>
188 HEADGOAL (Method.insert_tac (prems @ facts) THEN' tac (get_local_clasimpset ctxt)));
190 val clasimp_method = Method.bang_sectioned_args clasimp_modifiers o clasimp_meth;
191 val clasimp_method' = Method.bang_sectioned_args clasimp_modifiers o clasimp_meth';
196 [("clarsimp_tac", clasimp_method' clarsimp_tac, "clarsimp (improper!)"),
197 ("auto", clasimp_method (CHANGED o auto_tac), "auto"),
198 ("force", clasimp_method' force_tac, "force")]];