author | blanchet |
Wed, 03 Nov 2010 22:33:23 +0100 | |
changeset 40342 | 3154f63e2bda |
parent 39125 | f45d332a90e3 |
child 41228 | e1fce873b814 |
permissions | -rw-r--r-- |
17980 | 1 |
(* Title: Pure/goal.ML |
29345 | 2 |
Author: Makarius |
17980 | 3 |
|
18139 | 4 |
Goals in tactical theorem proving. |
17980 | 5 |
*) |
6 |
||
7 |
signature BASIC_GOAL = |
|
8 |
sig |
|
32738 | 9 |
val parallel_proofs: int Unsynchronized.ref |
17980 | 10 |
val SELECT_GOAL: tactic -> int -> tactic |
23418 | 11 |
val CONJUNCTS: tactic -> int -> tactic |
23414
927203ad4b3a
tuned conjunction tactics: slightly smaller proof terms;
wenzelm
parents:
23356
diff
changeset
|
12 |
val PRECISE_CONJUNCTS: int -> tactic -> int -> tactic |
32365 | 13 |
val PARALLEL_CHOICE: tactic list -> tactic |
14 |
val PARALLEL_GOALS: tactic -> tactic |
|
17980 | 15 |
end; |
16 |
||
17 |
signature GOAL = |
|
18 |
sig |
|
19 |
include BASIC_GOAL |
|
20 |
val init: cterm -> thm |
|
18027
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
21 |
val protect: thm -> thm |
17980 | 22 |
val conclude: thm -> thm |
32197 | 23 |
val check_finished: Proof.context -> thm -> unit |
24 |
val finish: Proof.context -> thm -> thm |
|
21604
1af327306c8e
added norm/close_result (supercede local_standard etc.);
wenzelm
parents:
21579
diff
changeset
|
25 |
val norm_result: thm -> thm |
37186
349e9223c685
explicit markup for forked goals, as indicated by Goal.fork;
wenzelm
parents:
36613
diff
changeset
|
26 |
val fork: (unit -> 'a) -> 'a future |
29448
34b9652b2f45
added Goal.future_enabled abstraction -- now also checks that this is already
wenzelm
parents:
29435
diff
changeset
|
27 |
val future_enabled: unit -> bool |
32061
11f8ee55662d
parallel_proofs: more fine-grained control with optional parallel checking of nested Isar proofs;
wenzelm
parents:
32058
diff
changeset
|
28 |
val local_future_enabled: unit -> bool |
28973
c549650d1442
future proofs: pass actual futures to facilitate composite computations;
wenzelm
parents:
28619
diff
changeset
|
29 |
val future_result: Proof.context -> thm future -> term -> thm |
23356 | 30 |
val prove_internal: cterm list -> cterm -> (thm list -> tactic) -> thm |
20290 | 31 |
val prove_multi: Proof.context -> string list -> term list -> term list -> |
32 |
({prems: thm list, context: Proof.context} -> tactic) -> thm list |
|
28446
a01de3b3fa2e
renamed promise to future, tuned related interfaces;
wenzelm
parents:
28363
diff
changeset
|
33 |
val prove_future: Proof.context -> string list -> term list -> term -> |
28340 | 34 |
({prems: thm list, context: Proof.context} -> tactic) -> thm |
20290 | 35 |
val prove: Proof.context -> string list -> term list -> term -> |
36 |
({prems: thm list, context: Proof.context} -> tactic) -> thm |
|
26713
1c6181def1d0
prove_global: Variable.set_body true, pass context;
wenzelm
parents:
26628
diff
changeset
|
37 |
val prove_global: theory -> string list -> term list -> term -> |
1c6181def1d0
prove_global: Variable.set_body true, pass context;
wenzelm
parents:
26628
diff
changeset
|
38 |
({prems: thm list, context: Proof.context} -> tactic) -> thm |
19184 | 39 |
val extract: int -> int -> thm -> thm Seq.seq |
40 |
val retrofit: int -> int -> thm -> thm -> thm Seq.seq |
|
23418 | 41 |
val conjunction_tac: int -> tactic |
23414
927203ad4b3a
tuned conjunction tactics: slightly smaller proof terms;
wenzelm
parents:
23356
diff
changeset
|
42 |
val precise_conjunction_tac: int -> int -> tactic |
23418 | 43 |
val recover_conjunction_tac: tactic |
21687 | 44 |
val norm_hhf_tac: int -> tactic |
45 |
val compose_hhf_tac: thm -> int -> tactic |
|
23237 | 46 |
val assume_rule_tac: Proof.context -> int -> tactic |
17980 | 47 |
end; |
48 |
||
49 |
structure Goal: GOAL = |
|
50 |
struct |
|
51 |
||
18027
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
52 |
(** goals **) |
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
53 |
|
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
54 |
(* |
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
55 |
-------- (init) |
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
56 |
C ==> #C |
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
57 |
*) |
20290 | 58 |
val init = |
22902
ac833b4bb7ee
moved some Drule operations to Thm (see more_thm.ML);
wenzelm
parents:
21687
diff
changeset
|
59 |
let val A = #1 (Thm.dest_implies (Thm.cprop_of Drule.protectI)) |
20290 | 60 |
in fn C => Thm.instantiate ([], [(A, C)]) Drule.protectI end; |
17980 | 61 |
|
62 |
(* |
|
18119 | 63 |
C |
64 |
--- (protect) |
|
65 |
#C |
|
17980 | 66 |
*) |
29345 | 67 |
fun protect th = Drule.comp_no_flatten (th, 0) 1 Drule.protectI; |
17980 | 68 |
|
69 |
(* |
|
18027
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
70 |
A ==> ... ==> #C |
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
71 |
---------------- (conclude) |
17980 | 72 |
A ==> ... ==> C |
73 |
*) |
|
29345 | 74 |
fun conclude th = Drule.comp_no_flatten (th, Thm.nprems_of th) 1 Drule.protectD; |
17980 | 75 |
|
76 |
(* |
|
18027
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
77 |
#C |
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
78 |
--- (finish) |
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
79 |
C |
17983 | 80 |
*) |
32197 | 81 |
fun check_finished ctxt th = |
17980 | 82 |
(case Thm.nprems_of th of |
32197 | 83 |
0 => () |
17980 | 84 |
| n => raise THM ("Proof failed.\n" ^ |
32197 | 85 |
Pretty.string_of (Pretty.chunks |
39125
f45d332a90e3
pretty_goals: turned some global references and function arguments into configuration options (goals_limit = 10, goals_total = true, show_main_goal = false) depending on the context;
wenzelm
parents:
38875
diff
changeset
|
86 |
(Goal_Display.pretty_goals |
f45d332a90e3
pretty_goals: turned some global references and function arguments into configuration options (goals_limit = 10, goals_total = true, show_main_goal = false) depending on the context;
wenzelm
parents:
38875
diff
changeset
|
87 |
(ctxt |
f45d332a90e3
pretty_goals: turned some global references and function arguments into configuration options (goals_limit = 10, goals_total = true, show_main_goal = false) depending on the context;
wenzelm
parents:
38875
diff
changeset
|
88 |
|> Config.put Goal_Display.goals_limit n |
f45d332a90e3
pretty_goals: turned some global references and function arguments into configuration options (goals_limit = 10, goals_total = true, show_main_goal = false) depending on the context;
wenzelm
parents:
38875
diff
changeset
|
89 |
|> Config.put Goal_Display.show_main_goal true) th)) ^ |
32197 | 90 |
"\n" ^ string_of_int n ^ " unsolved goal(s)!", 0, [th])); |
91 |
||
92 |
fun finish ctxt th = (check_finished ctxt th; conclude th); |
|
17980 | 93 |
|
94 |
||
18027
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
95 |
|
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
96 |
(** results **) |
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
97 |
|
28340 | 98 |
(* normal form *) |
99 |
||
21604
1af327306c8e
added norm/close_result (supercede local_standard etc.);
wenzelm
parents:
21579
diff
changeset
|
100 |
val norm_result = |
1af327306c8e
added norm/close_result (supercede local_standard etc.);
wenzelm
parents:
21579
diff
changeset
|
101 |
Drule.flexflex_unique |
1af327306c8e
added norm/close_result (supercede local_standard etc.);
wenzelm
parents:
21579
diff
changeset
|
102 |
#> MetaSimplifier.norm_hhf_protect |
1af327306c8e
added norm/close_result (supercede local_standard etc.);
wenzelm
parents:
21579
diff
changeset
|
103 |
#> Thm.strip_shyps |
1af327306c8e
added norm/close_result (supercede local_standard etc.);
wenzelm
parents:
21579
diff
changeset
|
104 |
#> Drule.zero_var_indexes; |
1af327306c8e
added norm/close_result (supercede local_standard etc.);
wenzelm
parents:
21579
diff
changeset
|
105 |
|
1af327306c8e
added norm/close_result (supercede local_standard etc.);
wenzelm
parents:
21579
diff
changeset
|
106 |
|
37186
349e9223c685
explicit markup for forked goals, as indicated by Goal.fork;
wenzelm
parents:
36613
diff
changeset
|
107 |
(* parallel proofs *) |
349e9223c685
explicit markup for forked goals, as indicated by Goal.fork;
wenzelm
parents:
36613
diff
changeset
|
108 |
|
38236
d8c7be27e01d
explicitly distinguish Output.status (essential feedback) vs. Output.report (useful markup);
wenzelm
parents:
38218
diff
changeset
|
109 |
fun fork e = Future.fork_pri ~1 (fn () => Future.status e); |
29448
34b9652b2f45
added Goal.future_enabled abstraction -- now also checks that this is already
wenzelm
parents:
29435
diff
changeset
|
110 |
|
32738 | 111 |
val parallel_proofs = Unsynchronized.ref 1; |
29448
34b9652b2f45
added Goal.future_enabled abstraction -- now also checks that this is already
wenzelm
parents:
29435
diff
changeset
|
112 |
|
34b9652b2f45
added Goal.future_enabled abstraction -- now also checks that this is already
wenzelm
parents:
29435
diff
changeset
|
113 |
fun future_enabled () = |
32255
d302f1c9e356
eliminated separate Future.enabled -- let Future.join fail explicitly in critical section, instead of entering sequential mode silently;
wenzelm
parents:
32197
diff
changeset
|
114 |
Multithreading.enabled () andalso Future.is_worker () andalso ! parallel_proofs >= 1; |
32061
11f8ee55662d
parallel_proofs: more fine-grained control with optional parallel checking of nested Isar proofs;
wenzelm
parents:
32058
diff
changeset
|
115 |
|
11f8ee55662d
parallel_proofs: more fine-grained control with optional parallel checking of nested Isar proofs;
wenzelm
parents:
32058
diff
changeset
|
116 |
fun local_future_enabled () = future_enabled () andalso ! parallel_proofs >= 2; |
29448
34b9652b2f45
added Goal.future_enabled abstraction -- now also checks that this is already
wenzelm
parents:
29435
diff
changeset
|
117 |
|
34b9652b2f45
added Goal.future_enabled abstraction -- now also checks that this is already
wenzelm
parents:
29435
diff
changeset
|
118 |
|
28446
a01de3b3fa2e
renamed promise to future, tuned related interfaces;
wenzelm
parents:
28363
diff
changeset
|
119 |
(* future_result *) |
28340 | 120 |
|
28446
a01de3b3fa2e
renamed promise to future, tuned related interfaces;
wenzelm
parents:
28363
diff
changeset
|
121 |
fun future_result ctxt result prop = |
28340 | 122 |
let |
123 |
val thy = ProofContext.theory_of ctxt; |
|
124 |
val _ = Context.reject_draft thy; |
|
125 |
val cert = Thm.cterm_of thy; |
|
126 |
val certT = Thm.ctyp_of thy; |
|
127 |
||
30473
e0b66c11e7e4
Assumption.all_prems_of, Assumption.all_assms_of;
wenzelm
parents:
29448
diff
changeset
|
128 |
val assms = Assumption.all_assms_of ctxt; |
28340 | 129 |
val As = map Thm.term_of assms; |
130 |
||
131 |
val xs = map Free (fold Term.add_frees (prop :: As) []); |
|
132 |
val fixes = map cert xs; |
|
133 |
||
134 |
val tfrees = fold Term.add_tfrees (prop :: As) []; |
|
135 |
val instT = map (fn (a, S) => (certT (TVar ((a, 0), S)), certT (TFree (a, S)))) tfrees; |
|
136 |
||
137 |
val global_prop = |
|
35845
e5980f0ad025
renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents:
35021
diff
changeset
|
138 |
cert (Term.map_types Logic.varifyT_global |
e5980f0ad025
renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents:
35021
diff
changeset
|
139 |
(fold_rev Logic.all xs (Logic.list_implies (As, prop)))) |
32056
f4b74cbecdaf
future_result: explicitly impose Variable.sorts_of again;
wenzelm
parents:
30473
diff
changeset
|
140 |
|> Thm.weaken_sorts (Variable.sorts_of ctxt); |
28973
c549650d1442
future proofs: pass actual futures to facilitate composite computations;
wenzelm
parents:
28619
diff
changeset
|
141 |
val global_result = result |> Future.map |
33768
bba9eac8aa25
future_result: purge flexflex pairs, which should normally be trivial anyway -- prevent Thm.future_result from complaining about tpairs;
wenzelm
parents:
32788
diff
changeset
|
142 |
(Drule.flexflex_unique #> |
bba9eac8aa25
future_result: purge flexflex pairs, which should normally be trivial anyway -- prevent Thm.future_result from complaining about tpairs;
wenzelm
parents:
32788
diff
changeset
|
143 |
Thm.adjust_maxidx_thm ~1 #> |
28973
c549650d1442
future proofs: pass actual futures to facilitate composite computations;
wenzelm
parents:
28619
diff
changeset
|
144 |
Drule.implies_intr_list assms #> |
c549650d1442
future proofs: pass actual futures to facilitate composite computations;
wenzelm
parents:
28619
diff
changeset
|
145 |
Drule.forall_intr_list fixes #> |
36613
f3157c288aca
simplified primitive Thm.future: more direct theory check, do not hardwire strip_shyps here;
wenzelm
parents:
36610
diff
changeset
|
146 |
Thm.generalize (map #1 tfrees, []) 0 #> |
f3157c288aca
simplified primitive Thm.future: more direct theory check, do not hardwire strip_shyps here;
wenzelm
parents:
36610
diff
changeset
|
147 |
Thm.strip_shyps); |
28340 | 148 |
val local_result = |
32056
f4b74cbecdaf
future_result: explicitly impose Variable.sorts_of again;
wenzelm
parents:
30473
diff
changeset
|
149 |
Thm.future global_result global_prop |
28340 | 150 |
|> Thm.instantiate (instT, []) |
151 |
|> Drule.forall_elim_list fixes |
|
152 |
|> fold (Thm.elim_implies o Thm.assume) assms; |
|
153 |
in local_result end; |
|
154 |
||
155 |
||
18027
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
156 |
|
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
157 |
(** tactical theorem proving **) |
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
158 |
|
23356 | 159 |
(* prove_internal -- minimal checks, no normalization of result! *) |
20250
c3f209752749
prove: proper assumption context, more tactic arguments;
wenzelm
parents:
20228
diff
changeset
|
160 |
|
23356 | 161 |
fun prove_internal casms cprop tac = |
20250
c3f209752749
prove: proper assumption context, more tactic arguments;
wenzelm
parents:
20228
diff
changeset
|
162 |
(case SINGLE (tac (map Assumption.assume casms)) (init cprop) of |
32197 | 163 |
SOME th => Drule.implies_intr_list casms |
164 |
(finish (Syntax.init_pretty_global (Thm.theory_of_thm th)) th) |
|
38875
c7a66b584147
tuned messages: discontinued spurious full-stops (messages are occasionally composed unexpectedly);
wenzelm
parents:
38236
diff
changeset
|
165 |
| NONE => error "Tactic failed"); |
20250
c3f209752749
prove: proper assumption context, more tactic arguments;
wenzelm
parents:
20228
diff
changeset
|
166 |
|
c3f209752749
prove: proper assumption context, more tactic arguments;
wenzelm
parents:
20228
diff
changeset
|
167 |
|
28340 | 168 |
(* prove_common etc. *) |
17986 | 169 |
|
28340 | 170 |
fun prove_common immediate ctxt xs asms props tac = |
17980 | 171 |
let |
21516 | 172 |
val thy = ProofContext.theory_of ctxt; |
26939
1035c89b4c02
moved global pretty/string_of functions from Sign to Syntax;
wenzelm
parents:
26713
diff
changeset
|
173 |
val string_of_term = Syntax.string_of_term ctxt; |
20056 | 174 |
|
28355 | 175 |
val pos = Position.thread_data (); |
20250
c3f209752749
prove: proper assumption context, more tactic arguments;
wenzelm
parents:
20228
diff
changeset
|
176 |
fun err msg = cat_error msg |
c3f209752749
prove: proper assumption context, more tactic arguments;
wenzelm
parents:
20228
diff
changeset
|
177 |
("The error(s) above occurred for the goal statement:\n" ^ |
28355 | 178 |
string_of_term (Logic.list_implies (asms, Logic.mk_conjunction_list props)) ^ |
179 |
(case Position.str_of pos of "" => "" | s => "\n" ^ s)); |
|
17980 | 180 |
|
20250
c3f209752749
prove: proper assumption context, more tactic arguments;
wenzelm
parents:
20228
diff
changeset
|
181 |
fun cert_safe t = Thm.cterm_of thy (Envir.beta_norm (Term.no_dummy_patterns t)) |
17980 | 182 |
handle TERM (msg, _) => err msg | TYPE (msg, _, _) => err msg; |
20250
c3f209752749
prove: proper assumption context, more tactic arguments;
wenzelm
parents:
20228
diff
changeset
|
183 |
val casms = map cert_safe asms; |
c3f209752749
prove: proper assumption context, more tactic arguments;
wenzelm
parents:
20228
diff
changeset
|
184 |
val cprops = map cert_safe props; |
17980 | 185 |
|
20250
c3f209752749
prove: proper assumption context, more tactic arguments;
wenzelm
parents:
20228
diff
changeset
|
186 |
val (prems, ctxt') = ctxt |
c3f209752749
prove: proper assumption context, more tactic arguments;
wenzelm
parents:
20228
diff
changeset
|
187 |
|> Variable.add_fixes_direct xs |
27218
4548c83cd508
prove: full Variable.declare_term, including constraints;
wenzelm
parents:
26939
diff
changeset
|
188 |
|> fold Variable.declare_term (asms @ props) |
26713
1c6181def1d0
prove_global: Variable.set_body true, pass context;
wenzelm
parents:
26628
diff
changeset
|
189 |
|> Assumption.add_assumes casms |
1c6181def1d0
prove_global: Variable.set_body true, pass context;
wenzelm
parents:
26628
diff
changeset
|
190 |
||> Variable.set_body true; |
28619
89f9dd800a22
prove_common: include all sorts from context into statement, check shyps of result;
wenzelm
parents:
28446
diff
changeset
|
191 |
val sorts = Variable.sorts_of ctxt'; |
17980 | 192 |
|
28619
89f9dd800a22
prove_common: include all sorts from context into statement, check shyps of result;
wenzelm
parents:
28446
diff
changeset
|
193 |
val stmt = Thm.weaken_sorts sorts (Conjunction.mk_conjunction_balanced cprops); |
28340 | 194 |
|
195 |
fun result () = |
|
196 |
(case SINGLE (tac {prems = prems, context = ctxt'}) (init stmt) of |
|
38875
c7a66b584147
tuned messages: discontinued spurious full-stops (messages are occasionally composed unexpectedly);
wenzelm
parents:
38236
diff
changeset
|
197 |
NONE => err "Tactic failed" |
28340 | 198 |
| SOME st => |
32197 | 199 |
let val res = finish ctxt' st handle THM (msg, _, _) => err msg in |
28619
89f9dd800a22
prove_common: include all sorts from context into statement, check shyps of result;
wenzelm
parents:
28446
diff
changeset
|
200 |
if Unify.matches_list thy [Thm.term_of stmt] [Thm.prop_of res] |
89f9dd800a22
prove_common: include all sorts from context into statement, check shyps of result;
wenzelm
parents:
28446
diff
changeset
|
201 |
then Thm.check_shyps sorts res |
28340 | 202 |
else err ("Proved a different theorem: " ^ string_of_term (Thm.prop_of res)) |
203 |
end); |
|
204 |
val res = |
|
29448
34b9652b2f45
added Goal.future_enabled abstraction -- now also checks that this is already
wenzelm
parents:
29435
diff
changeset
|
205 |
if immediate orelse #maxidx (Thm.rep_cterm stmt) >= 0 orelse not (future_enabled ()) |
29088
95a239a5e055
future proofs: more robust check via Future.enabled;
wenzelm
parents:
28973
diff
changeset
|
206 |
then result () |
37186
349e9223c685
explicit markup for forked goals, as indicated by Goal.fork;
wenzelm
parents:
36613
diff
changeset
|
207 |
else future_result ctxt' (fork result) (Thm.term_of stmt); |
17980 | 208 |
in |
28340 | 209 |
Conjunction.elim_balanced (length props) res |
20290 | 210 |
|> map (Assumption.export false ctxt' ctxt) |
20056 | 211 |
|> Variable.export ctxt' ctxt |
20250
c3f209752749
prove: proper assumption context, more tactic arguments;
wenzelm
parents:
20228
diff
changeset
|
212 |
|> map Drule.zero_var_indexes |
17980 | 213 |
end; |
214 |
||
28341 | 215 |
val prove_multi = prove_common true; |
17980 | 216 |
|
28446
a01de3b3fa2e
renamed promise to future, tuned related interfaces;
wenzelm
parents:
28363
diff
changeset
|
217 |
fun prove_future ctxt xs asms prop tac = hd (prove_common false ctxt xs asms [prop] tac); |
28340 | 218 |
fun prove ctxt xs asms prop tac = hd (prove_common true ctxt xs asms [prop] tac); |
20056 | 219 |
|
220 |
fun prove_global thy xs asms prop tac = |
|
36610
bafd82950e24
renamed ProofContext.init to ProofContext.init_global to emphasize that this is not the real thing;
wenzelm
parents:
35845
diff
changeset
|
221 |
Drule.export_without_context (prove (ProofContext.init_global thy) xs asms prop tac); |
18027
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
222 |
|
09ab79d4e8e1
renamed Goal constant to prop, more general protect/unprotect interfaces;
wenzelm
parents:
17986
diff
changeset
|
223 |
|
17980 | 224 |
|
21687 | 225 |
(** goal structure **) |
226 |
||
227 |
(* nested goals *) |
|
18207 | 228 |
|
19184 | 229 |
fun extract i n st = |
230 |
(if i < 1 orelse n < 1 orelse i + n - 1 > Thm.nprems_of st then Seq.empty |
|
231 |
else if n = 1 then Seq.single (Thm.cprem_of st i) |
|
23418 | 232 |
else |
233 |
Seq.single (Conjunction.mk_conjunction_balanced (map (Thm.cprem_of st) (i upto i + n - 1)))) |
|
20260 | 234 |
|> Seq.map (Thm.adjust_maxidx_cterm ~1 #> init); |
17980 | 235 |
|
19221 | 236 |
fun retrofit i n st' st = |
237 |
(if n = 1 then st |
|
23418 | 238 |
else st |> Drule.with_subgoal i (Conjunction.uncurry_balanced n)) |
19221 | 239 |
|> Thm.compose_no_flatten false (conclude st', Thm.nprems_of st') i; |
18207 | 240 |
|
17980 | 241 |
fun SELECT_GOAL tac i st = |
19191 | 242 |
if Thm.nprems_of st = 1 andalso i = 1 then tac st |
19184 | 243 |
else Seq.lifts (retrofit i 1) (Seq.maps tac (extract i 1 st)) st; |
17980 | 244 |
|
21687 | 245 |
|
246 |
(* multiple goals *) |
|
247 |
||
23418 | 248 |
fun precise_conjunction_tac 0 i = eq_assume_tac i |
249 |
| precise_conjunction_tac 1 i = SUBGOAL (K all_tac) i |
|
250 |
| precise_conjunction_tac n i = PRIMITIVE (Drule.with_subgoal i (Conjunction.curry_balanced n)); |
|
23414
927203ad4b3a
tuned conjunction tactics: slightly smaller proof terms;
wenzelm
parents:
23356
diff
changeset
|
251 |
|
23418 | 252 |
val adhoc_conjunction_tac = REPEAT_ALL_NEW |
253 |
(SUBGOAL (fn (goal, i) => |
|
254 |
if can Logic.dest_conjunction goal then rtac Conjunction.conjunctionI i |
|
255 |
else no_tac)); |
|
21687 | 256 |
|
23418 | 257 |
val conjunction_tac = SUBGOAL (fn (goal, i) => |
258 |
precise_conjunction_tac (length (Logic.dest_conjunctions goal)) i ORELSE |
|
259 |
TRY (adhoc_conjunction_tac i)); |
|
21687 | 260 |
|
23418 | 261 |
val recover_conjunction_tac = PRIMITIVE (fn th => |
262 |
Conjunction.uncurry_balanced (Thm.nprems_of th) th); |
|
23414
927203ad4b3a
tuned conjunction tactics: slightly smaller proof terms;
wenzelm
parents:
23356
diff
changeset
|
263 |
|
927203ad4b3a
tuned conjunction tactics: slightly smaller proof terms;
wenzelm
parents:
23356
diff
changeset
|
264 |
fun PRECISE_CONJUNCTS n tac = |
927203ad4b3a
tuned conjunction tactics: slightly smaller proof terms;
wenzelm
parents:
23356
diff
changeset
|
265 |
SELECT_GOAL (precise_conjunction_tac n 1 |
927203ad4b3a
tuned conjunction tactics: slightly smaller proof terms;
wenzelm
parents:
23356
diff
changeset
|
266 |
THEN tac |
23418 | 267 |
THEN recover_conjunction_tac); |
23414
927203ad4b3a
tuned conjunction tactics: slightly smaller proof terms;
wenzelm
parents:
23356
diff
changeset
|
268 |
|
21687 | 269 |
fun CONJUNCTS tac = |
270 |
SELECT_GOAL (conjunction_tac 1 |
|
271 |
THEN tac |
|
23418 | 272 |
THEN recover_conjunction_tac); |
21687 | 273 |
|
274 |
||
275 |
(* hhf normal form *) |
|
276 |
||
277 |
val norm_hhf_tac = |
|
278 |
rtac Drule.asm_rl (*cheap approximation -- thanks to builtin Logic.flatten_params*) |
|
279 |
THEN' SUBGOAL (fn (t, i) => |
|
280 |
if Drule.is_norm_hhf t then all_tac |
|
28619
89f9dd800a22
prove_common: include all sorts from context into statement, check shyps of result;
wenzelm
parents:
28446
diff
changeset
|
281 |
else MetaSimplifier.rewrite_goal_tac Drule.norm_hhf_eqs i); |
21687 | 282 |
|
25301 | 283 |
fun compose_hhf_tac th i st = |
284 |
PRIMSEQ (Thm.bicompose false (false, Drule.lift_all (Thm.cprem_of st i) th, 0) i) st; |
|
21687 | 285 |
|
23237 | 286 |
|
287 |
(* non-atomic goal assumptions *) |
|
288 |
||
23356 | 289 |
fun non_atomic (Const ("==>", _) $ _ $ _) = true |
290 |
| non_atomic (Const ("all", _) $ _) = true |
|
291 |
| non_atomic _ = false; |
|
292 |
||
23237 | 293 |
fun assume_rule_tac ctxt = norm_hhf_tac THEN' CSUBGOAL (fn (goal, i) => |
294 |
let |
|
295 |
val ((_, goal'), ctxt') = Variable.focus goal ctxt; |
|
296 |
val goal'' = Drule.cterm_rule (singleton (Variable.export ctxt' ctxt)) goal'; |
|
23356 | 297 |
val Rs = filter (non_atomic o Thm.term_of) (Drule.strip_imp_prems goal''); |
23237 | 298 |
val tacs = Rs |> map (fn R => |
299 |
Tactic.etac (MetaSimplifier.norm_hhf (Thm.trivial R)) THEN_ALL_NEW assume_tac); |
|
300 |
in fold_rev (curry op APPEND') tacs (K no_tac) i end); |
|
301 |
||
32365 | 302 |
|
303 |
(* parallel tacticals *) |
|
304 |
||
305 |
(*parallel choice of single results*) |
|
306 |
fun PARALLEL_CHOICE tacs st = |
|
307 |
(case Par_List.get_some (fn tac => SINGLE tac st) tacs of |
|
308 |
NONE => Seq.empty |
|
309 |
| SOME st' => Seq.single st'); |
|
310 |
||
311 |
(*parallel refinement of non-schematic goal by single results*) |
|
32788
a65deb8f9434
PARALLEL_GOALS: proper scope for exception FAILED, with dummy argument to prevent its interpretation as variable;
wenzelm
parents:
32738
diff
changeset
|
312 |
exception FAILED of unit; |
32365 | 313 |
fun PARALLEL_GOALS tac st = |
314 |
let |
|
315 |
val st0 = Thm.adjust_maxidx_thm ~1 st; |
|
316 |
val _ = Thm.maxidx_of st0 >= 0 andalso |
|
317 |
raise THM ("PARALLEL_GOALS: schematic goal state", 0, [st]); |
|
318 |
||
319 |
fun try_tac g = |
|
320 |
(case SINGLE tac g of |
|
32788
a65deb8f9434
PARALLEL_GOALS: proper scope for exception FAILED, with dummy argument to prevent its interpretation as variable;
wenzelm
parents:
32738
diff
changeset
|
321 |
NONE => raise FAILED () |
32365 | 322 |
| SOME g' => g'); |
323 |
||
324 |
val goals = Drule.strip_imp_prems (Thm.cprop_of st0); |
|
325 |
val results = Par_List.map (try_tac o init) goals; |
|
326 |
in ALLGOALS (fn i => retrofit i 1 (nth results (i - 1))) st0 end |
|
32788
a65deb8f9434
PARALLEL_GOALS: proper scope for exception FAILED, with dummy argument to prevent its interpretation as variable;
wenzelm
parents:
32738
diff
changeset
|
327 |
handle FAILED () => Seq.empty; |
32365 | 328 |
|
18207 | 329 |
end; |
330 |
||
32365 | 331 |
structure Basic_Goal: BASIC_GOAL = Goal; |
332 |
open Basic_Goal; |