# HG changeset patch # User haftmann # Date 1253865031 -7200 # Node ID 04ce6bb14d852e457199534bef9cc2e8fb3e563e # Parent 304a477394079d32b2286bb57be4e14b296f8214# Parent 6f0a56d255f43ec656148881189a0713369ad243 merged diff -r 6f0a56d255f4 -r 04ce6bb14d85 Admin/E/eproof --- a/Admin/E/eproof Wed Sep 23 16:32:53 2009 +0200 +++ b/Admin/E/eproof Fri Sep 25 09:50:31 2009 +0200 @@ -11,6 +11,7 @@ use File::Basename qw/ dirname /; use File::Temp qw/ tempfile /; +use English; # E executables @@ -44,7 +45,7 @@ # run E, redirecting output into a temporary file my ($fh, $filename) = tempfile(UNLINK => 1); -my $r = system "$eprover_cmd > $filename"; +my $r = system "$eprover_cmd > '$filename'"; exit ($r >> 8) if $r != 0; @@ -55,7 +56,7 @@ # Note: Like the original eproof, we only look at the last 60 lines. if ($content =~ m/Total time\s*:\s*([0-9]+\.[0-9]+)/) { - $timelimit = $timelimit - $1 - 1; + $timelimit = int($timelimit - $1 - 1); if ($content =~ m/No proof found!/) { print "# Problem is satisfiable (or invalid), " . @@ -85,7 +86,7 @@ print if (m/# SZS status/ or m/"# Failure"/); } $r = system ("exec bash -c \"ulimit -S -t $timelimit; " . - "'$epclextract' $format -f --competition-framing $filename\""); + "'$epclextract' $format -f --competition-framing '$filename'\""); # Note: Setting the user time is not supported on Cygwin, i.e., ulimit fails # and prints and error message. How could we then limit the execution time? exit ($r >> 8); diff -r 6f0a56d255f4 -r 04ce6bb14d85 Admin/isatest/isatest-makedist --- a/Admin/isatest/isatest-makedist Wed Sep 23 16:32:53 2009 +0200 +++ b/Admin/isatest/isatest-makedist Fri Sep 25 09:50:31 2009 +0200 @@ -102,9 +102,9 @@ #sleep 15 $SSH macbroy21 "$MAKEALL $HOME/settings/at64-poly-5.1-para" sleep 15 -$SSH macbroy23 -l HOL images "$MAKEALL $HOME/settings/at-sml-dev-e" -sleep 15 -$SSH atbroy101 "$MAKEALL $HOME/settings/at64-poly" +#$SSH macbroy23 -l HOL images "$MAKEALL $HOME/settings/at-sml-dev-e" +#sleep 15 +$SSH atbroy99 "$MAKEALL $HOME/settings/at64-poly" sleep 15 $SSH macbroy2 "$MAKEALL $HOME/settings/mac-poly-M4; $MAKEALL $HOME/settings/mac-poly-M8; $MAKEALL $HOME/settings/mac-poly64-M4; $MAKEALL $HOME/settings/mac-poly64-M8" sleep 15 diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Complete_Lattice.thy --- a/src/HOL/Complete_Lattice.thy Wed Sep 23 16:32:53 2009 +0200 +++ b/src/HOL/Complete_Lattice.thy Fri Sep 25 09:50:31 2009 +0200 @@ -10,7 +10,9 @@ less_eq (infix "\" 50) and less (infix "\" 50) and inf (infixl "\" 70) and - sup (infixl "\" 65) + sup (infixl "\" 65) and + top ("\") and + bot ("\") subsection {* Abstract complete lattices *} @@ -24,6 +26,15 @@ and Sup_least: "(\x. x \ A \ x \ z) \ \A \ z" begin +term complete_lattice + +lemma dual_complete_lattice: + "complete_lattice (op \) (op >) (op \) (op \) \ \ Sup Inf" + by (auto intro!: complete_lattice.intro dual_lattice + bot.intro top.intro dual_preorder, unfold_locales) + (fact bot_least top_greatest + Sup_upper Sup_least Inf_lower Inf_greatest)+ + lemma Inf_Sup: "\A = \{b. \a \ A. b \ a}" by (auto intro: antisym Inf_lower Inf_greatest Sup_upper Sup_least) @@ -784,7 +795,9 @@ inf (infixl "\" 70) and sup (infixl "\" 65) and Inf ("\_" [900] 900) and - Sup ("\_" [900] 900) + Sup ("\_" [900] 900) and + top ("\") and + bot ("\") lemmas mem_simps = insert_iff empty_iff Un_iff Int_iff Compl_iff Diff_iff diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Finite_Set.thy --- a/src/HOL/Finite_Set.thy Wed Sep 23 16:32:53 2009 +0200 +++ b/src/HOL/Finite_Set.thy Fri Sep 25 09:50:31 2009 +0200 @@ -2613,6 +2613,23 @@ finally show ?case . qed +lemma fold1_eq_fold_idem: + assumes "finite A" + shows "fold1 times (insert a A) = fold times a A" +proof (cases "a \ A") + case False + with assms show ?thesis by (simp add: fold1_eq_fold) +next + interpret fun_left_comm_idem times by (fact fun_left_comm_idem) + case True then obtain b B + where A: "A = insert a B" and "a \ B" by (rule set_insert) + with assms have "finite B" by auto + then have "fold times a (insert a B) = fold times (a * a) B" + using `a \ B` by (rule fold_insert2) + then show ?thesis + using `a \ B` `finite B` by (simp add: fold1_eq_fold A) +qed + end diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/HOL.thy --- a/src/HOL/HOL.thy Wed Sep 23 16:32:53 2009 +0200 +++ b/src/HOL/HOL.thy Fri Sep 25 09:50:31 2009 +0200 @@ -2021,6 +2021,29 @@ quickcheck_params [size = 5, iterations = 50] +subsection {* Preprocessing for the predicate compiler *} + +ML {* +structure Predicate_Compile_Alternative_Defs = Named_Thms +( + val name = "code_pred_def" + val description = "alternative definitions of constants for the Predicate Compiler" +) +*} + +ML {* +structure Predicate_Compile_Inline_Defs = Named_Thms +( + val name = "code_pred_inline" + val description = "inlining definitions for the Predicate Compiler" +) +*} + +setup {* + Predicate_Compile_Alternative_Defs.setup + #> Predicate_Compile_Inline_Defs.setup + #> Predicate_Compile_Preproc_Const_Defs.setup +*} subsection {* Nitpick setup *} diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Induct/LList.thy --- a/src/HOL/Induct/LList.thy Wed Sep 23 16:32:53 2009 +0200 +++ b/src/HOL/Induct/LList.thy Fri Sep 25 09:50:31 2009 +0200 @@ -665,7 +665,7 @@ apply (subst LList_corec, force) done -lemma llist_corec: +lemma llist_corec [nitpick_const_simp]: "llist_corec a f = (case f a of None => LNil | Some(z,w) => LCons z (llist_corec w f))" apply (unfold llist_corec_def LNil_def LCons_def) @@ -774,10 +774,11 @@ subsection{* The functional @{text lmap} *} -lemma lmap_LNil [simp]: "lmap f LNil = LNil" +lemma lmap_LNil [simp, nitpick_const_simp]: "lmap f LNil = LNil" by (rule lmap_def [THEN def_llist_corec, THEN trans], simp) -lemma lmap_LCons [simp]: "lmap f (LCons M N) = LCons (f M) (lmap f N)" +lemma lmap_LCons [simp, nitpick_const_simp]: +"lmap f (LCons M N) = LCons (f M) (lmap f N)" by (rule lmap_def [THEN def_llist_corec, THEN trans], simp) @@ -792,7 +793,7 @@ subsection{* iterates -- @{text llist_fun_equalityI} cannot be used! *} -lemma iterates: "iterates f x = LCons x (iterates f (f x))" +lemma iterates [nitpick_const_simp]: "iterates f x = LCons x (iterates f (f x))" by (rule iterates_def [THEN def_llist_corec, THEN trans], simp) lemma lmap_iterates [simp]: "lmap f (iterates f x) = iterates f (f x)" @@ -847,18 +848,18 @@ subsection{* @{text lappend} -- its two arguments cause some complications! *} -lemma lappend_LNil_LNil [simp]: "lappend LNil LNil = LNil" +lemma lappend_LNil_LNil [simp, nitpick_const_simp]: "lappend LNil LNil = LNil" apply (simp add: lappend_def) apply (rule llist_corec [THEN trans], simp) done -lemma lappend_LNil_LCons [simp]: +lemma lappend_LNil_LCons [simp, nitpick_const_simp]: "lappend LNil (LCons l l') = LCons l (lappend LNil l')" apply (simp add: lappend_def) apply (rule llist_corec [THEN trans], simp) done -lemma lappend_LCons [simp]: +lemma lappend_LCons [simp, nitpick_const_simp]: "lappend (LCons l l') N = LCons l (lappend l' N)" apply (simp add: lappend_def) apply (rule llist_corec [THEN trans], simp) diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/IsaMakefile --- a/src/HOL/IsaMakefile Wed Sep 23 16:32:53 2009 +0200 +++ b/src/HOL/IsaMakefile Fri Sep 25 09:50:31 2009 +0200 @@ -909,7 +909,7 @@ ex/Sudoku.thy ex/Tarski.thy \ ex/Termination.thy ex/Transfer_Ex.thy ex/Unification.thy ex/document/root.bib \ ex/document/root.tex ex/set.thy ex/svc_funcs.ML ex/svc_test.thy \ - ex/Predicate_Compile.thy ex/predicate_compile.ML ex/Predicate_Compile_ex.thy + ex/Predicate_Compile.thy Tools/Predicate_Compile/predicate_compile_core.ML ex/Predicate_Compile_ex.thy @$(ISABELLE_TOOL) usedir $(OUT)/HOL ex diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Library/Coinductive_List.thy --- a/src/HOL/Library/Coinductive_List.thy Wed Sep 23 16:32:53 2009 +0200 +++ b/src/HOL/Library/Coinductive_List.thy Fri Sep 25 09:50:31 2009 +0200 @@ -260,7 +260,7 @@ qed qed -lemma llist_corec [code]: +lemma llist_corec [code, nitpick_const_simp]: "llist_corec a f = (case f a of None \ LNil | Some (z, w) \ LCons z (llist_corec w f))" proof (cases "f a") @@ -656,8 +656,9 @@ qed qed -lemma lmap_LNil [simp]: "lmap f LNil = LNil" - and lmap_LCons [simp]: "lmap f (LCons M N) = LCons (f M) (lmap f N)" +lemma lmap_LNil [simp, nitpick_const_simp]: "lmap f LNil = LNil" + and lmap_LCons [simp, nitpick_const_simp]: + "lmap f (LCons M N) = LCons (f M) (lmap f N)" by (simp_all add: lmap_def llist_corec) lemma lmap_compose [simp]: "lmap (f o g) l = lmap f (lmap g l)" @@ -728,9 +729,9 @@ qed qed -lemma lappend_LNil_LNil [simp]: "lappend LNil LNil = LNil" - and lappend_LNil_LCons [simp]: "lappend LNil (LCons l l') = LCons l (lappend LNil l')" - and lappend_LCons [simp]: "lappend (LCons l l') m = LCons l (lappend l' m)" +lemma lappend_LNil_LNil [simp, nitpick_const_simp]: "lappend LNil LNil = LNil" + and lappend_LNil_LCons [simp, nitpick_const_simp]: "lappend LNil (LCons l l') = LCons l (lappend LNil l')" + and lappend_LCons [simp, nitpick_const_simp]: "lappend (LCons l l') m = LCons l (lappend l' m)" by (simp_all add: lappend_def llist_corec) lemma lappend_LNil1 [simp]: "lappend LNil l = l" @@ -754,7 +755,7 @@ iterates :: "('a \ 'a) \ 'a \ 'a llist" where "iterates f a = llist_corec a (\x. Some (x, f x))" -lemma iterates: "iterates f x = LCons x (iterates f (f x))" +lemma iterates [nitpick_const_simp]: "iterates f x = LCons x (iterates f (f x))" apply (unfold iterates_def) apply (subst llist_corec) apply simp diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Library/Executable_Set.thy --- a/src/HOL/Library/Executable_Set.thy Wed Sep 23 16:32:53 2009 +0200 +++ b/src/HOL/Library/Executable_Set.thy Fri Sep 25 09:50:31 2009 +0200 @@ -47,9 +47,6 @@ declare inter [code] -declare Inter_image_eq [symmetric, code_unfold] -declare Union_image_eq [symmetric, code_unfold] - declare List_Set.project_def [symmetric, code_unfold] definition Inter :: "'a set set \ 'a set" where diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/List.thy --- a/src/HOL/List.thy Wed Sep 23 16:32:53 2009 +0200 +++ b/src/HOL/List.thy Fri Sep 25 09:50:31 2009 +0200 @@ -2167,6 +2167,71 @@ "fold f y (set xs) = foldl (\y x. f x y) y xs" by (rule sym, induct xs arbitrary: y) (simp_all add: fold_fun_comm) +lemma (in ab_semigroup_idem_mult) fold1_set: + assumes "xs \ []" + shows "fold1 times (set xs) = foldl times (hd xs) (tl xs)" +proof - + interpret fun_left_comm_idem times by (fact fun_left_comm_idem) + from assms obtain y ys where xs: "xs = y # ys" + by (cases xs) auto + show ?thesis + proof (cases "set ys = {}") + case True with xs show ?thesis by simp + next + case False + then have "fold1 times (insert y (set ys)) = fold times y (set ys)" + by (simp only: finite_set fold1_eq_fold_idem) + with xs show ?thesis by (simp add: fold_set mult_commute) + qed +qed + +lemma (in lattice) Inf_fin_set_fold [code_unfold]: + "Inf_fin (set (x # xs)) = foldl inf x xs" +proof - + interpret ab_semigroup_idem_mult "inf :: 'a \ 'a \ 'a" + by (fact ab_semigroup_idem_mult_inf) + show ?thesis + by (simp add: Inf_fin_def fold1_set del: set.simps) +qed + +lemma (in lattice) Sup_fin_set_fold [code_unfold]: + "Sup_fin (set (x # xs)) = foldl sup x xs" +proof - + interpret ab_semigroup_idem_mult "sup :: 'a \ 'a \ 'a" + by (fact ab_semigroup_idem_mult_sup) + show ?thesis + by (simp add: Sup_fin_def fold1_set del: set.simps) +qed + +lemma (in linorder) Min_fin_set_fold [code_unfold]: + "Min (set (x # xs)) = foldl min x xs" +proof - + interpret ab_semigroup_idem_mult "min :: 'a \ 'a \ 'a" + by (fact ab_semigroup_idem_mult_min) + show ?thesis + by (simp add: Min_def fold1_set del: set.simps) +qed + +lemma (in linorder) Max_fin_set_fold [code_unfold]: + "Max (set (x # xs)) = foldl max x xs" +proof - + interpret ab_semigroup_idem_mult "max :: 'a \ 'a \ 'a" + by (fact ab_semigroup_idem_mult_max) + show ?thesis + by (simp add: Max_def fold1_set del: set.simps) +qed + +lemma (in complete_lattice) Inf_set_fold [code_unfold]: + "Inf (set xs) = foldl inf top xs" + by (cases xs) + (simp_all add: Inf_fin_Inf [symmetric] Inf_fin_set_fold + inf_commute del: set.simps, simp add: top_def) + +lemma (in complete_lattice) Sup_set_fold [code_unfold]: + "Sup (set xs) = foldl sup bot xs" + by (cases xs) + (simp_all add: Sup_fin_Sup [symmetric] Sup_fin_set_fold + sup_commute del: set.simps, simp add: bot_def) subsubsection {* List summation: @{const listsum} and @{text"\"}*} @@ -3763,6 +3828,11 @@ "length (remdups xs) = length_unique xs" by (induct xs) simp_all +declare INFI_def [code_unfold] +declare SUPR_def [code_unfold] + +declare set_map [symmetric, code_unfold] + hide (open) const length_unique diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Mirabelle/Tools/mirabelle.ML --- a/src/HOL/Mirabelle/Tools/mirabelle.ML Wed Sep 23 16:32:53 2009 +0200 +++ b/src/HOL/Mirabelle/Tools/mirabelle.ML Fri Sep 25 09:50:31 2009 +0200 @@ -16,7 +16,7 @@ type done_args = {last: Toplevel.state, log: string -> unit} type done_action = int -> done_args -> unit type run_args = {pre: Proof.state, post: Toplevel.state option, - timeout: Time.time, log: string -> unit, pos: Position.T} + timeout: Time.time, log: string -> unit, pos: Position.T, name: string} type run_action = int -> run_args -> unit type action = init_action * run_action * done_action val catch : (int -> string) -> run_action -> run_action @@ -56,7 +56,7 @@ type done_args = {last: Toplevel.state, log: string -> unit} type done_action = int -> done_args -> unit type run_args = {pre: Proof.state, post: Toplevel.state option, - timeout: Time.time, log: string -> unit, pos: Position.T} + timeout: Time.time, log: string -> unit, pos: Position.T, name: string} type run_action = int -> run_args -> unit type action = init_action * run_action * done_action @@ -95,9 +95,9 @@ fun log_sep thy = log thy "------------------" -fun apply_actions thy pos info (pre, post, time) actions = +fun apply_actions thy pos name info (pre, post, time) actions = let - fun apply f = f {pre=pre, post=post, timeout=time, log=log thy, pos=pos} + fun apply f = f {pre=pre, post=post, timeout=time, log=log thy, pos=pos, name=name} fun run (id, run, _) = (apply (run id); log_sep thy) in (log thy info; log_sep thy; List.app run actions) end @@ -121,7 +121,7 @@ val loc = str0 (Position.line_of pos) ^ ":" ^ str0 (Position.column_of pos) val info = "\n\nat " ^ loc ^ " (" ^ name ^ "):" in - only_within_range thy pos (apply_actions thy pos info st) (Actions.get thy) + only_within_range thy pos (apply_actions thy pos name info st) (Actions.get thy) end fun done_actions st = diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Mirabelle/Tools/mirabelle_sledgehammer.ML --- a/src/HOL/Mirabelle/Tools/mirabelle_sledgehammer.ML Wed Sep 23 16:32:53 2009 +0200 +++ b/src/HOL/Mirabelle/Tools/mirabelle_sledgehammer.ML Fri Sep 25 09:50:31 2009 +0200 @@ -31,6 +31,7 @@ datatype me_data = MeData of { calls: int, success: int, + proofs: int, time: int, timeout: int, lemmas: int, @@ -55,14 +56,14 @@ fun make_min_data (succs, ab_ratios, it_ratios) = MinData{succs=succs, ab_ratios=ab_ratios, it_ratios=it_ratios} -fun make_me_data (calls, success, time, timeout, lemmas, posns) = - MeData{calls=calls, success=success, time=time, timeout=timeout, lemmas=lemmas, posns=posns} +fun make_me_data (calls, success, proofs, time, timeout, lemmas, posns) = + MeData{calls=calls, success=success, proofs=proofs, time=time, timeout=timeout, lemmas=lemmas, posns=posns} val empty_data = Data(make_sh_data (0, 0, 0, 0, 0, 0), - make_me_data(0, 0, 0, 0, 0, []), + make_me_data(0, 0, 0, 0, 0, 0, []), MinData{succs=0, ab_ratios=0, it_ratios=0}, - make_me_data(0, 0, 0, 0, 0, [])) + make_me_data(0, 0, 0, 0, 0, 0, [])) fun map_sh_data f (Data (ShData{calls, success, lemmas, time_isa, time_atp, time_atp_fail}, meda0, minda, meda)) = @@ -73,11 +74,11 @@ (Data(shda, meda0, MinData{succs,ab_ratios,it_ratios}, meda)) = Data(shda, meda0, make_min_data(f(succs,ab_ratios,it_ratios)), meda) -fun map_me_data0 f (Data (shda, MeData{calls,success,time,timeout,lemmas,posns}, minda, meda)) = - Data(shda, make_me_data(f (calls,success,time,timeout,lemmas,posns)), minda, meda) +fun map_me_data0 f (Data (shda, MeData{calls,success,proofs,time,timeout,lemmas,posns}, minda, meda)) = + Data(shda, make_me_data(f (calls,success,proofs,time,timeout,lemmas,posns)), minda, meda) -fun map_me_data f (Data (shda, meda0, minda, MeData{calls,success,time,timeout,lemmas,posns})) = - Data(shda, meda0, minda, make_me_data(f (calls,success,time,timeout,lemmas,posns))) +fun map_me_data f (Data (shda, meda0, minda, MeData{calls,success,proofs,time,timeout,lemmas,posns})) = + Data(shda, meda0, minda, make_me_data(f (calls,success,proofs,time,timeout,lemmas,posns))) val inc_sh_calls = map_sh_data (fn (calls, success, lemmas, time_isa, time_atp, time_atp_fail) @@ -113,52 +114,60 @@ map_min_data (fn (succs, ab_ratios, it_ratios) => (succs, ab_ratios, it_ratios+r)) val inc_metis_calls = map_me_data - (fn (calls, success, time, timeout, lemmas,posns) - => (calls + 1, success, time, timeout, lemmas,posns)) + (fn (calls,success,proofs,time,timeout,lemmas,posns) + => (calls + 1, success, proofs, time, timeout, lemmas,posns)) val inc_metis_success = map_me_data - (fn (calls,success,time,timeout,lemmas,posns) - => (calls, success + 1, time, timeout, lemmas,posns)) + (fn (calls,success,proofs,time,timeout,lemmas,posns) + => (calls, success + 1, proofs, time, timeout, lemmas,posns)) + +val inc_metis_proofs = map_me_data + (fn (calls,success,proofs,time,timeout,lemmas,posns) + => (calls, success, proofs + 1, time, timeout, lemmas,posns)) fun inc_metis_time t = map_me_data - (fn (calls,success,time,timeout,lemmas,posns) - => (calls, success, time + t, timeout, lemmas,posns)) + (fn (calls,success,proofs,time,timeout,lemmas,posns) + => (calls, success, proofs, time + t, timeout, lemmas,posns)) val inc_metis_timeout = map_me_data - (fn (calls,success,time,timeout,lemmas,posns) - => (calls, success, time, timeout + 1, lemmas,posns)) + (fn (calls,success,proofs,time,timeout,lemmas,posns) + => (calls, success, proofs, time, timeout + 1, lemmas,posns)) fun inc_metis_lemmas n = map_me_data - (fn (calls,success,time,timeout,lemmas,posns) - => (calls, success, time, timeout, lemmas + n, posns)) + (fn (calls,success,proofs,time,timeout,lemmas,posns) + => (calls, success, proofs, time, timeout, lemmas + n, posns)) fun inc_metis_posns pos = map_me_data - (fn (calls,success,time,timeout,lemmas,posns) - => (calls, success, time, timeout, lemmas, pos::posns)) + (fn (calls,success,proofs,time,timeout,lemmas,posns) + => (calls, success, proofs, time, timeout, lemmas, pos::posns)) val inc_metis_calls0 = map_me_data0 -(fn (calls, success, time, timeout, lemmas,posns) - => (calls + 1, success, time, timeout, lemmas,posns)) +(fn (calls,success,proofs,time,timeout,lemmas,posns) + => (calls + 1, success, proofs, time, timeout, lemmas,posns)) val inc_metis_success0 = map_me_data0 - (fn (calls,success,time,timeout,lemmas,posns) - => (calls, success + 1, time, timeout, lemmas,posns)) + (fn (calls,success,proofs,time,timeout,lemmas,posns) + => (calls, success + 1, proofs, time, timeout, lemmas,posns)) + +val inc_metis_proofs0 = map_me_data0 + (fn (calls,success,proofs,time,timeout,lemmas,posns) + => (calls, success, proofs + 1, time, timeout, lemmas,posns)) fun inc_metis_time0 t = map_me_data0 - (fn (calls,success,time,timeout,lemmas,posns) - => (calls, success, time + t, timeout, lemmas,posns)) + (fn (calls,success,proofs,time,timeout,lemmas,posns) + => (calls, success, proofs, time + t, timeout, lemmas,posns)) val inc_metis_timeout0 = map_me_data0 - (fn (calls,success,time,timeout,lemmas,posns) - => (calls, success, time, timeout + 1, lemmas,posns)) + (fn (calls,success,proofs,time,timeout,lemmas,posns) + => (calls, success, proofs, time, timeout + 1, lemmas,posns)) fun inc_metis_lemmas0 n = map_me_data0 - (fn (calls,success,time,timeout,lemmas,posns) - => (calls, success, time, timeout, lemmas + n, posns)) + (fn (calls,success,proofs,time,timeout,lemmas,posns) + => (calls, success, proofs, time, timeout, lemmas + n, posns)) fun inc_metis_posns0 pos = map_me_data0 - (fn (calls,success,time,timeout,lemmas,posns) - => (calls, success, time, timeout, lemmas, pos::posns)) + (fn (calls,success,proofs,time,timeout,lemmas,posns) + => (calls, success, proofs, time, timeout, lemmas, pos::posns)) local @@ -190,10 +199,10 @@ let val str0 = string_of_int o the_default 0 in str0 (Position.line_of pos) ^ ":" ^ str0 (Position.column_of pos) end -fun log_metis_data log tag sh_calls sh_success metis_calls metis_success metis_time +fun log_metis_data log tag sh_calls sh_success metis_calls metis_success metis_proofs metis_time metis_timeout metis_lemmas metis_posns = (log ("Total number of " ^ tag ^ "metis calls: " ^ str metis_calls); - log ("Number of successful " ^ tag ^ "metis calls: " ^ str metis_success); + log ("Number of successful " ^ tag ^ "metis calls: " ^ str metis_success ^ " (proof: " ^ str metis_proofs ^ ")"); log ("Number of " ^ tag ^ "metis timeouts: " ^ str metis_timeout); log ("Success rate: " ^ percentage metis_success sh_calls ^ "%"); log ("Number of successful " ^ tag ^ "metis lemmas: " ^ str metis_lemmas); @@ -216,11 +225,11 @@ fun log_data id log (Data (ShData{calls=sh_calls, lemmas=sh_lemmas, success=sh_success, time_isa=sh_time_isa,time_atp=sh_time_atp,time_atp_fail=sh_time_atp_fail}, - MeData{calls=metis_calls0, + MeData{calls=metis_calls0, proofs=metis_proofs0, success=metis_success0, time=metis_time0, timeout=metis_timeout0, lemmas=metis_lemmas0,posns=metis_posns0}, MinData{succs=min_succs, ab_ratios=ab_ratios, it_ratios=it_ratios}, - MeData{calls=metis_calls, + MeData{calls=metis_calls, proofs=metis_proofs, success=metis_success, time=metis_time, timeout=metis_timeout, lemmas=metis_lemmas,posns=metis_posns})) = if sh_calls > 0 @@ -229,12 +238,12 @@ log_sh_data log sh_calls sh_success sh_lemmas sh_time_isa sh_time_atp sh_time_atp_fail; log ""; if metis_calls > 0 then log_metis_data log "" sh_calls sh_success metis_calls - metis_success metis_time metis_timeout metis_lemmas metis_posns else (); + metis_success metis_proofs metis_time metis_timeout metis_lemmas metis_posns else (); log ""; if metis_calls0 > 0 then (log_min_data log min_succs ab_ratios it_ratios; log ""; log_metis_data log "unminimized " sh_calls sh_success metis_calls0 - metis_success0 metis_time0 metis_timeout0 metis_lemmas0 metis_posns0) + metis_success0 metis_proofs0 metis_time0 metis_timeout0 metis_lemmas0 metis_posns0) else () ) else () @@ -376,8 +385,8 @@ end -fun run_metis (inc_metis_calls, inc_metis_success, inc_metis_time, inc_metis_timeout, - inc_metis_lemmas, inc_metis_posns) args named_thms id +fun run_metis (inc_metis_calls, inc_metis_success, inc_metis_proofs, inc_metis_time, inc_metis_timeout, + inc_metis_lemmas, inc_metis_posns) args name named_thms id ({pre=st, timeout, log, pos, ...}: Mirabelle.run_args) = let fun metis thms ctxt = MetisTools.metis_tac ctxt thms @@ -388,6 +397,7 @@ change_data id (inc_metis_lemmas (length named_thms)); change_data id (inc_metis_time t); change_data id (inc_metis_posns pos); + if name = "proof" then change_data id inc_metis_proofs else (); "succeeded (" ^ string_of_int t ^ ")") fun timed_metis thms = with_time (Mirabelle.cpu_time apply_metis thms) handle TimeLimit.TimeOut => (change_data id inc_metis_timeout; "timeout") @@ -401,13 +411,13 @@ |> log o prefix (metis_tag id) end -fun sledgehammer_action args id (st as {log, pre, ...}: Mirabelle.run_args) = +fun sledgehammer_action args id (st as {log, pre, name, ...}: Mirabelle.run_args) = if can Logic.dest_conjunction (Thm.major_prem_of(snd(snd(Proof.get_goal pre)))) then () else let - val metis_fns = (inc_metis_calls, inc_metis_success, inc_metis_time, + val metis_fns = (inc_metis_calls, inc_metis_success, inc_metis_proofs, inc_metis_time, inc_metis_timeout, inc_metis_lemmas, inc_metis_posns) - val metis0_fns = (inc_metis_calls0, inc_metis_success0, inc_metis_time0, + val metis0_fns = (inc_metis_calls0, inc_metis_success0, inc_metis_proofs0, inc_metis_time0, inc_metis_timeout0, inc_metis_lemmas0, inc_metis_posns0) val named_thms = ref (NONE : (string * thm list) list option) val minimize = AList.defined (op =) args minimizeK @@ -416,12 +426,12 @@ if is_some (!named_thms) then (if minimize - then Mirabelle.catch metis_tag (run_metis metis0_fns args (these (!named_thms))) id st + then Mirabelle.catch metis_tag (run_metis metis0_fns args name (these (!named_thms))) id st else (); if minimize andalso not(null(these(!named_thms))) then Mirabelle.catch minimize_tag (run_minimize args named_thms) id st else (); - Mirabelle.catch metis_tag (run_metis metis_fns args (these (!named_thms))) id st) + Mirabelle.catch metis_tag (run_metis metis_fns args name (these (!named_thms))) id st) else () end diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Predicate.thy --- a/src/HOL/Predicate.thy Wed Sep 23 16:32:53 2009 +0200 +++ b/src/HOL/Predicate.thy Fri Sep 25 09:50:31 2009 +0200 @@ -797,6 +797,10 @@ (auto simp add: Seq_def the_only_singleton is_empty_def null_is_empty singleton_bot singleton_single singleton_sup Let_def) +lemma meta_fun_cong: +"f == g ==> f x == g x" +by simp + ML {* signature PREDICATE = sig diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Tools/Datatype/datatype.ML --- a/src/HOL/Tools/Datatype/datatype.ML Wed Sep 23 16:32:53 2009 +0200 +++ b/src/HOL/Tools/Datatype/datatype.ML Fri Sep 25 09:50:31 2009 +0200 @@ -26,7 +26,7 @@ val info_of_case : theory -> string -> info option val interpretation : (config -> string list -> theory -> theory) -> theory -> theory val distinct_simproc : simproc - val make_case : Proof.context -> bool -> string list -> term -> + val make_case : Proof.context -> DatatypeCase.config -> string list -> term -> (term * term) list -> term * (term * (int * bool)) list val strip_case : Proof.context -> bool -> term -> (term * (term * term) list) option val read_typ: theory -> diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Tools/Datatype/datatype_case.ML --- a/src/HOL/Tools/Datatype/datatype_case.ML Wed Sep 23 16:32:53 2009 +0200 +++ b/src/HOL/Tools/Datatype/datatype_case.ML Fri Sep 25 09:50:31 2009 +0200 @@ -7,8 +7,9 @@ signature DATATYPE_CASE = sig + datatype config = Error | Warning | Quiet; val make_case: (string -> DatatypeAux.info option) -> - Proof.context -> bool -> string list -> term -> (term * term) list -> + Proof.context -> config -> string list -> term -> (term * term) list -> term * (term * (int * bool)) list val dest_case: (string -> DatatypeAux.info option) -> bool -> string list -> term -> (term * (term * term) list) option @@ -23,6 +24,8 @@ structure DatatypeCase : DATATYPE_CASE = struct +datatype config = Error | Warning | Quiet; + exception CASE_ERROR of string * int; fun match_type thy pat ob = Sign.typ_match thy (pat, ob) Vartab.empty; @@ -260,7 +263,7 @@ else x :: xs) | _ => I) pat []; -fun gen_make_case ty_match ty_inst type_of tab ctxt err used x clauses = +fun gen_make_case ty_match ty_inst type_of tab ctxt config used x clauses = let fun string_of_clause (pat, rhs) = Syntax.string_of_term ctxt (Syntax.const "_case1" $ pat $ rhs); @@ -285,7 +288,7 @@ val originals = map (row_of_pat o #2) rows val _ = case originals \\ finals of [] => () - | is => (if err then case_error else warning) + | is => (case config of Error => case_error | Warning => warning | Quiet => fn _ => {}) ("The following clauses are redundant (covered by preceding clauses):\n" ^ cat_lines (map (string_of_clause o nth clauses) is)); in @@ -338,7 +341,8 @@ fun dest_case2 (Const ("_case2", _) $ t $ u) = t :: dest_case2 u | dest_case2 t = [t]; val (cases, cnstrts) = split_list (map dest_case1 (dest_case2 u)); - val (case_tm, _) = make_case_untyped (tab_of thy) ctxt err [] + val (case_tm, _) = make_case_untyped (tab_of thy) ctxt + (if err then Error else Warning) [] (fold (fn tT => fn t => Syntax.const "_constrain" $ t $ tT) (flat cnstrts) t) cases; in case_tm end diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Tools/Predicate_Compile/pred_compile_aux.ML --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/Tools/Predicate_Compile/pred_compile_aux.ML Fri Sep 25 09:50:31 2009 +0200 @@ -0,0 +1,100 @@ +(* Author: Lukas Bulwahn, TU Muenchen + +Auxilary functions for predicate compiler +*) + +structure Predicate_Compile_Aux = +struct + +(* syntactic functions *) + +fun is_equationlike_term (Const ("==", _) $ _ $ _) = true + | is_equationlike_term (Const ("Trueprop", _) $ (Const ("op =", _) $ _ $ _)) = true + | is_equationlike_term _ = false + +val is_equationlike = is_equationlike_term o prop_of + +fun is_pred_equation_term (Const ("==", _) $ u $ v) = + (fastype_of u = @{typ bool}) andalso (fastype_of v = @{typ bool}) + | is_pred_equation_term _ = false + +val is_pred_equation = is_pred_equation_term o prop_of + +fun is_intro_term constname t = + case fst (strip_comb (HOLogic.dest_Trueprop (Logic.strip_imp_concl t))) of + Const (c, _) => c = constname + | _ => false + +fun is_intro constname t = is_intro_term constname (prop_of t) + +fun is_pred thy constname = + let + val T = (Sign.the_const_type thy constname) + in body_type T = @{typ "bool"} end; + + +fun is_predT (T as Type("fun", [_, _])) = (snd (strip_type T) = HOLogic.boolT) + | is_predT _ = false + + +(*** check if a term contains only constructor functions ***) +fun is_constrt thy = + let + val cnstrs = flat (maps + (map (fn (_, (Tname, _, cs)) => map (apsnd (rpair Tname o length)) cs) o #descr o snd) + (Symtab.dest (Datatype.get_all thy))); + fun check t = (case strip_comb t of + (Free _, []) => true + | (Const (s, T), ts) => (case (AList.lookup (op =) cnstrs s, body_type T) of + (SOME (i, Tname), Type (Tname', _)) => length ts = i andalso Tname = Tname' andalso forall check ts + | _ => false) + | _ => false) + in check end; + +fun strip_ex (Const ("Ex", _) $ Abs (x, T, t)) = + let + val (xTs, t') = strip_ex t + in + ((x, T) :: xTs, t') + end + | strip_ex t = ([], t) + +fun focus_ex t nctxt = + let + val ((xs, Ts), t') = apfst split_list (strip_ex t) + val (xs', nctxt') = Name.variants xs nctxt; + val ps' = xs' ~~ Ts; + val vs = map Free ps'; + val t'' = Term.subst_bounds (rev vs, t'); + in ((ps', t''), nctxt') end; + + + + +(* +fun map_atoms f intro = +fun fold_atoms f intro = +*) +fun fold_map_atoms f intro s = + let + val (literals, head) = Logic.strip_horn intro + fun appl t s = (case t of + (@{term "Not"} $ t') => + let + val (t'', s') = f t' s + in (@{term "Not"} $ t'', s') end + | _ => f t s) + val (literals', s') = fold_map appl (map HOLogic.dest_Trueprop literals) s + in + (Logic.list_implies (map HOLogic.mk_Trueprop literals', head), s') + end; + +(* +fun equals_conv lhs_cv rhs_cv ct = + case Thm.term_of ct of + Const ("==", _) $ _ $ _ => Conv.arg_conv cv ct + | _ => error "equals_conv" +*) + + +end; diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Tools/Predicate_Compile/pred_compile_data.ML --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/Tools/Predicate_Compile/pred_compile_data.ML Fri Sep 25 09:50:31 2009 +0200 @@ -0,0 +1,223 @@ +(* Author: Lukas Bulwahn, TU Muenchen + +Book-keeping datastructure for the predicate compiler + +*) +signature PRED_COMPILE_DATA = +sig + type specification_table; + val make_const_spec_table : theory -> specification_table + val get_specification : specification_table -> string -> thm list + val obtain_specification_graph : specification_table -> string -> thm list Graph.T + val normalize_equation : theory -> thm -> thm +end; + +structure Pred_Compile_Data : PRED_COMPILE_DATA = +struct + +open Predicate_Compile_Aux; + +structure Data = TheoryDataFun +( + type T = + {const_spec_table : thm list Symtab.table}; + val empty = + {const_spec_table = Symtab.empty}; + val copy = I; + val extend = I; + fun merge _ + ({const_spec_table = const_spec_table1}, + {const_spec_table = const_spec_table2}) = + {const_spec_table = Symtab.merge (K true) (const_spec_table1, const_spec_table2)} +); + +fun mk_data c = {const_spec_table = c} +fun map_data f {const_spec_table = c} = mk_data (f c) + +type specification_table = thm list Symtab.table + +fun defining_const_of_introrule_term t = + let + val _ $ u = Logic.strip_imp_concl t + val (pred, all_args) = strip_comb u + in case pred of + Const (c, T) => c + | _ => raise TERM ("defining_const_of_introrule_term failed: Not a constant", [t]) + end + +val defining_const_of_introrule = defining_const_of_introrule_term o prop_of + +(*TODO*) +fun is_introlike_term t = true + +val is_introlike = is_introlike_term o prop_of + +fun check_equation_format_term (t as (Const ("==", _) $ u $ v)) = + (case strip_comb u of + (Const (c, T), args) => + if (length (binder_types T) = length args) then + true + else + raise TERM ("check_equation_format_term failed: Number of arguments mismatch", [t]) + | _ => raise TERM ("check_equation_format_term failed: Not a constant", [t])) + | check_equation_format_term t = + raise TERM ("check_equation_format_term failed: Not an equation", [t]) + +val check_equation_format = check_equation_format_term o prop_of + +fun defining_const_of_equation_term (t as (Const ("==", _) $ u $ v)) = + (case fst (strip_comb u) of + Const (c, _) => c + | _ => raise TERM ("defining_const_of_equation_term failed: Not a constant", [t])) + | defining_const_of_equation_term t = + raise TERM ("defining_const_of_equation_term failed: Not an equation", [t]) + +val defining_const_of_equation = defining_const_of_equation_term o prop_of + +(* Normalizing equations *) + +fun mk_meta_equation th = + case prop_of th of + Const ("Trueprop", _) $ (Const ("op =", _) $ _ $ _) => th RS @{thm eq_reflection} + | _ => th + +fun full_fun_cong_expand th = + let + val (f, args) = strip_comb (fst (Logic.dest_equals (prop_of th))) + val i = length (binder_types (fastype_of f)) - length args + in funpow i (fn th => th RS @{thm meta_fun_cong}) th end; + +fun declare_names s xs ctxt = + let + val res = Name.names ctxt s xs + in (res, fold Name.declare (map fst res) ctxt) end + +fun split_all_pairs thy th = + let + val ctxt = ProofContext.init thy + val ((_, [th']), ctxt') = Variable.import true [th] ctxt + val t = prop_of th' + val frees = Term.add_frees t [] + val freenames = Term.add_free_names t [] + val nctxt = Name.make_context freenames + fun mk_tuple_rewrites (x, T) nctxt = + let + val Ts = HOLogic.flatten_tupleT T + val (xTs, nctxt') = declare_names x Ts nctxt + val paths = HOLogic.flat_tupleT_paths T + in ((Free (x, T), HOLogic.mk_ptuple paths T (map Free xTs)), nctxt') end + val (rewr, _) = fold_map mk_tuple_rewrites frees nctxt + val t' = Pattern.rewrite_term thy rewr [] t + val tac = setmp quick_and_dirty true (SkipProof.cheat_tac thy) + val th'' = Goal.prove ctxt (Term.add_free_names t' []) [] t' (fn {...} => tac) + val th''' = LocalDefs.unfold ctxt [@{thm split_conv}] th'' + in + th''' + end; + +fun normalize_equation thy th = + mk_meta_equation th + |> Pred_Compile_Set.unfold_set_notation + |> full_fun_cong_expand + |> split_all_pairs thy + |> tap check_equation_format + +fun inline_equations thy th = Conv.fconv_rule (Simplifier.rewrite +((Simplifier.theory_context thy Simplifier.empty_ss) addsimps (Predicate_Compile_Inline_Defs.get (ProofContext.init thy)))) th + +fun store_thm_in_table ignore_consts thy th= + let + val th = AxClass.unoverload thy th + |> inline_equations thy + val (const, th) = + if is_equationlike th then + let + val _ = priority "Normalizing definition..." + val eq = normalize_equation thy th + in + (defining_const_of_equation eq, eq) + end + else if (is_introlike th) then + let val th = Pred_Compile_Set.unfold_set_notation th + in (defining_const_of_introrule th, th) end + else error "store_thm: unexpected definition format" + in + if not (member (op =) ignore_consts const) then + Symtab.cons_list (const, th) + else I + end + +(* +fun make_const_spec_table_warning thy = + fold + (fn th => fn thy => case try (store_thm th) thy of + SOME thy => thy + | NONE => (warning ("store_thm fails for " ^ Display.string_of_thm_global thy th) ; thy)) + (Predicate_Compile_Preproc_Const_Defs.get (ProofContext.init thy)) thy + +fun make_const_spec_table thy = + fold store_thm (Predicate_Compile_Preproc_Const_Defs.get (ProofContext.init thy)) thy + |> (fn thy => fold store_thm (Nitpick_Const_Simps.get (ProofContext.init thy)) thy) +*) +fun make_const_spec_table thy = + let + fun store ignore_const f = fold (store_thm_in_table ignore_const thy) (map (Thm.transfer thy) (f (ProofContext.init thy))) + val table = Symtab.empty + |> store [] Predicate_Compile_Alternative_Defs.get + val ignore_consts = Symtab.keys table + in + table + |> store ignore_consts Predicate_Compile_Preproc_Const_Defs.get + |> store ignore_consts Nitpick_Const_Simps.get + |> store ignore_consts Nitpick_Ind_Intros.get + end + (* +fun get_specification thy constname = + case Symtab.lookup (#const_spec_table (Data.get thy)) constname of + SOME thms => thms + | NONE => error ("get_specification: lookup of constant " ^ quote constname ^ " failed") + *) +fun get_specification table constname = + case Symtab.lookup table constname of + SOME thms => + let + val _ = tracing ("Looking up specification of " ^ constname ^ ": " + ^ (commas (map Display.string_of_thm_without_context thms))) + in thms end + | NONE => error ("get_specification: lookup of constant " ^ quote constname ^ " failed") + +val logic_operator_names = + [@{const_name "=="}, @{const_name "op ="}, @{const_name "op -->"}, @{const_name "All"}, @{const_name "op &"}] + +val special_cases = member (op =) [@{const_name "Suc"}, @{const_name Nat.zero_nat_inst.zero_nat}, + @{const_name Nat.one_nat_inst.one_nat}, +@{const_name "HOL.ord_class.less"}, @{const_name "HOL.ord_class.less_eq"}, @{const_name "HOL.zero_class.zero"}, +@{const_name "HOL.one_class.one"}, @{const_name HOL.plus_class.plus}, +@{const_name "Nat.nat.nat_case"}, @{const_name "List.list.list_case"}, +@{const_name "Option.option.option_case"}, +@{const_name Nat.ord_nat_inst.less_eq_nat}, +@{const_name number_nat_inst.number_of_nat}, + @{const_name Int.Bit0}, + @{const_name Int.Bit1}, + @{const_name Int.Pls}, +@{const_name "Int.zero_int_inst.zero_int"}, +@{const_name "List.filter"}] + +fun obtain_specification_graph table constname = + let + fun is_nondefining_constname c = member (op =) logic_operator_names c + val is_defining_constname = member (op =) (Symtab.keys table) + fun defiants_of specs = + fold (Term.add_const_names o prop_of) specs [] + |> filter is_defining_constname + |> filter_out special_cases + fun extend constname = + let + val specs = get_specification table constname + in (specs, defiants_of specs) end; + in + Graph.extend extend constname Graph.empty + end; + + +end; diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Tools/Predicate_Compile/pred_compile_fun.ML --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/Tools/Predicate_Compile/pred_compile_fun.ML Fri Sep 25 09:50:31 2009 +0200 @@ -0,0 +1,424 @@ +(* Author: Lukas Bulwahn, TU Muenchen + +Preprocessing functions to predicates +*) + +signature PREDICATE_COMPILE_FUN = +sig + val define_predicates : (string * thm list) list -> theory -> theory + val rewrite_intro : theory -> thm -> thm list + val setup_oracle : theory -> theory +end; + +structure Predicate_Compile_Fun : PREDICATE_COMPILE_FUN = +struct + + +(* Oracle for preprocessing *) + +val (oracle : (string * (cterm -> thm)) option ref) = ref NONE; + +fun the_oracle () = + case !oracle of + NONE => error "Oracle is not setup" + | SOME (_, oracle) => oracle + +val setup_oracle = Thm.add_oracle (Binding.name "pred_compile_preprocessing", I) #-> + (fn ora => fn thy => let val _ = (oracle := SOME ora) in thy end) + + +fun is_funtype (Type ("fun", [_, _])) = true + | is_funtype _ = false; + +fun is_Type (Type _) = true + | is_Type _ = false + +(* returns true if t is an application of an datatype constructor *) +(* which then consequently would be splitted *) +(* else false *) +(* +fun is_constructor thy t = + if (is_Type (fastype_of t)) then + (case DatatypePackage.get_datatype thy ((fst o dest_Type o fastype_of) t) of + NONE => false + | SOME info => (let + val constr_consts = flat (map (fn (_, (_, _, constrs)) => map fst constrs) (#descr info)) + val (c, _) = strip_comb t + in (case c of + Const (name, _) => name mem_string constr_consts + | _ => false) end)) + else false +*) + +(* must be exported in code.ML *) +fun is_constr thy = is_some o Code.get_datatype_of_constr thy; + +(* Table from constant name (string) to term of inductive predicate *) +structure Pred_Compile_Preproc = TheoryDataFun +( + type T = string Symtab.table; + val empty = Symtab.empty; + val copy = I; + val extend = I; + fun merge _ = Symtab.merge (op =); +) + +fun defined thy = Symtab.defined (Pred_Compile_Preproc.get thy) + + +fun transform_ho_typ (T as Type ("fun", _)) = + let + val (Ts, T') = strip_type T + in if T' = @{typ "bool"} then T else (Ts @ [T']) ---> HOLogic.boolT end +| transform_ho_typ t = t + +fun transform_ho_arg arg = + case (fastype_of arg) of + (T as Type ("fun", _)) => + (case arg of + Free (name, _) => Free (name, transform_ho_typ T) + | _ => error "I am surprised") +| _ => arg + +fun pred_type T = + let + val (Ts, T') = strip_type T + val Ts' = map transform_ho_typ Ts + in + (Ts' @ [T']) ---> HOLogic.boolT + end; + +(* FIXME: create new predicate name -- does not avoid nameclashing *) +fun pred_of f = + let + val (name, T) = dest_Const f + in + if (body_type T = @{typ bool}) then + (Free (Long_Name.base_name name ^ "P", T)) + else + (Free (Long_Name.base_name name ^ "P", pred_type T)) + end + +fun mk_param lookup_pred (t as Free (v, _)) = lookup_pred t + | mk_param lookup_pred t = + let + val (vs, body) = strip_abs t + val names = Term.add_free_names body [] + val vs_names = Name.variant_list names (map fst vs) + val vs' = map2 (curry Free) vs_names (map snd vs) + val body' = subst_bounds (rev vs', body) + val (f, args) = strip_comb body' + val resname = Name.variant (vs_names @ names) "res" + val resvar = Free (resname, body_type (fastype_of body')) + val P = lookup_pred f + val pred_body = list_comb (P, args @ [resvar]) + val param = fold_rev lambda (vs' @ [resvar]) pred_body + in param end; + + +(* creates the list of premises for every intro rule *) +(* theory -> term -> (string list, term list list) *) + +fun dest_code_eqn eqn = let + val (lhs, rhs) = Logic.dest_equals (Logic.unvarify (Thm.prop_of eqn)) + val (func, args) = strip_comb lhs +in ((func, args), rhs) end; + +fun string_of_typ T = Syntax.string_of_typ_global @{theory} T + +fun string_of_term t = + case t of + Const (c, T) => "Const (" ^ c ^ ", " ^ string_of_typ T ^ ")" + | Free (c, T) => "Free (" ^ c ^ ", " ^ string_of_typ T ^ ")" + | Var ((c, i), T) => "Var ((" ^ c ^ ", " ^ string_of_int i ^ "), " ^ string_of_typ T ^ ")" + | Bound i => "Bound " ^ string_of_int i + | Abs (x, T, t) => "Abs (" ^ x ^ ", " ^ string_of_typ T ^ ", " ^ string_of_term t ^ ")" + | t1 $ t2 => "(" ^ string_of_term t1 ^ ") $ (" ^ string_of_term t2 ^ ")" + +fun ind_package_get_nparams thy name = + case try (Inductive.the_inductive (ProofContext.init thy)) name of + SOME (_, result) => length (Inductive.params_of (#raw_induct result)) + | NONE => error ("No such predicate: " ^ quote name) + +(* TODO: does not work with higher order functions yet *) +fun mk_rewr_eq (func, pred) = + let + val (argTs, resT) = (strip_type (fastype_of func)) + val nctxt = + Name.make_context (Term.fold_aterms (fn Free (x, _) => insert (op =) x | _ => I) (func $ pred) []) + val (argnames, nctxt') = Name.variants (replicate (length argTs) "a") nctxt + val ([resname], nctxt'') = Name.variants ["r"] nctxt' + val args = map Free (argnames ~~ argTs) + val res = Free (resname, resT) + in Logic.mk_equals + (HOLogic.mk_eq (res, list_comb (func, args)), list_comb (pred, args @ [res])) + end; + +fun has_split_rule_cname @{const_name "nat_case"} = true + | has_split_rule_cname @{const_name "list_case"} = true + | has_split_rule_cname _ = false + +fun has_split_rule_term thy (Const (@{const_name "nat_case"}, _)) = true + | has_split_rule_term thy (Const (@{const_name "list_case"}, _)) = true + | has_split_rule_term thy _ = false + +fun has_split_rule_term' thy (Const (@{const_name "If"}, _)) = true + | has_split_rule_term' thy (Const (@{const_name "Let"}, _)) = true + | has_split_rule_term' thy c = has_split_rule_term thy c + +fun prepare_split_thm ctxt split_thm = + (split_thm RS @{thm iffD2}) + |> LocalDefs.unfold ctxt [@{thm atomize_conjL[symmetric]}, + @{thm atomize_all[symmetric]}, @{thm atomize_imp[symmetric]}] + +fun find_split_thm thy (Const (name, typ)) = + let + fun split_name str = + case first_field "." str + of (SOME (field, rest)) => field :: split_name rest + | NONE => [str] + val splitted_name = split_name name + in + if length splitted_name > 0 andalso + String.isSuffix "_case" (List.last splitted_name) + then + (List.take (splitted_name, length splitted_name - 1)) @ ["split"] + |> String.concatWith "." + |> PureThy.get_thm thy + |> SOME + handle ERROR msg => NONE + else NONE + end + | find_split_thm _ _ = NONE + +fun find_split_thm' thy (Const (@{const_name "If"}, _)) = SOME @{thm split_if} + | find_split_thm' thy (Const (@{const_name "Let"}, _)) = SOME @{thm refl} (* TODO *) + | find_split_thm' thy c = find_split_thm thy c + +fun strip_all t = (Term.strip_all_vars t, Term.strip_all_body t) + +fun folds_map f xs y = + let + fun folds_map' acc [] y = [(rev acc, y)] + | folds_map' acc (x :: xs) y = + maps (fn (x, y) => folds_map' (x :: acc) xs y) (f x y) + in + folds_map' [] xs y + end; + +fun mk_prems thy (lookup_pred, get_nparams) t (names, prems) = + let + fun mk_prems' (t as Const (name, T)) (names, prems) = + if is_constr thy name orelse (is_none (try lookup_pred t)) then + [(t ,(names, prems))] + else [(lookup_pred t, (names, prems))] + | mk_prems' (t as Free (f, T)) (names, prems) = + [(lookup_pred t, (names, prems))] + | mk_prems' t (names, prems) = + if Predicate_Compile_Aux.is_constrt thy t then + [(t, (names, prems))] + else + if has_split_rule_term' thy (fst (strip_comb t)) then + let + val (f, args) = strip_comb t + val split_thm = prepare_split_thm (ProofContext.init thy) (the (find_split_thm' thy f)) + (* TODO: contextify things - this line is to unvarify the split_thm *) + (*val ((_, [isplit_thm]), _) = Variable.import true [split_thm] (ProofContext.init thy)*) + val (assms, concl) = Logic.strip_horn (Thm.prop_of split_thm) + val (P, [split_t]) = strip_comb (HOLogic.dest_Trueprop concl) + val subst = Pattern.match thy (split_t, t) (Vartab.empty, Vartab.empty) + val (_, split_args) = strip_comb split_t + val match = split_args ~~ args + fun mk_prems_of_assm assm = + let + val (vTs, assm') = strip_all (Envir.beta_norm (Envir.subst_term subst assm)) + val var_names = Name.variant_list names (map fst vTs) + val vars = map Free (var_names ~~ (map snd vTs)) + val (prems', pre_res) = Logic.strip_horn (subst_bounds (rev vars, assm')) + val (_, [inner_t]) = strip_comb (HOLogic.dest_Trueprop pre_res) + in + mk_prems' inner_t (var_names @ names, prems' @ prems) + end + in + maps mk_prems_of_assm assms + end + else + let + val (f, args) = strip_comb t + val resname = Name.variant names "res" + val resvar = Free (resname, body_type (fastype_of t)) + val names' = resname :: names + fun mk_prems'' (t as Const (c, _)) = + if is_constr thy c orelse (is_none (try lookup_pred t)) then + folds_map mk_prems' args (names', prems) |> + map + (fn (argvs, (names'', prems')) => + let + val prem = HOLogic.mk_Trueprop (HOLogic.mk_eq (resvar, list_comb (f, argvs))) + in (names'', prem :: prems') end) + else + let + val pred = lookup_pred t + val nparams = get_nparams pred + val (params, args) = chop nparams args + val _ = tracing ("mk_prems'': " ^ (Syntax.string_of_term_global thy t) ^ " has " ^ string_of_int nparams ^ " parameters.") + val params' = map (mk_param lookup_pred) params + in + folds_map mk_prems' args (names', prems) + |> map (fn (argvs, (names'', prems')) => + let + val prem = HOLogic.mk_Trueprop (list_comb (pred, params' @ argvs @ [resvar])) + in (names'', prem :: prems') end) + end + | mk_prems'' (t as Free (_, _)) = + let + (* higher order argument call *) + val pred = lookup_pred t + in + folds_map mk_prems' args (resname :: names, prems) + |> map (fn (argvs, (names', prems')) => + let + val prem = HOLogic.mk_Trueprop (list_comb (pred, argvs @ [resvar])) + in (names', prem :: prems') end) + end + | mk_prems'' t = error ("Invalid term: " ^ Syntax.string_of_term_global thy t) + in + map (pair resvar) (mk_prems'' f) + end + in + mk_prems' t (names, prems) + end; + +(* assumption: mutual recursive predicates all have the same parameters. *) +fun define_predicates specs thy = + if forall (fn (const, _) => member (op =) (Symtab.keys (Pred_Compile_Preproc.get thy)) const) specs then + thy + else + let + val consts = map fst specs + val eqns = maps snd specs + (*val eqns = maps (Predicate_Compile_Preproc_Data.get_specification thy) consts*) + (* create prednames *) + val ((funs, argss), rhss) = map_split dest_code_eqn eqns |>> split_list + val argss' = map (map transform_ho_arg) argss + val pnames = map dest_Free (distinct (op =) (maps (filter (is_funtype o fastype_of)) argss')) + val preds = map pred_of funs + val prednames = map (fst o dest_Free) preds + val funnames = map (fst o dest_Const) funs + val fun_pred_names = (funnames ~~ prednames) + (* mapping from term (Free or Const) to term *) + fun lookup_pred (Const (@{const_name Cons}, T)) = + Const ("Preprocessing.ConsP", pred_type T) (* FIXME: temporary - Cons lookup *) + | lookup_pred (Const (name, T)) = + (case (Symtab.lookup (Pred_Compile_Preproc.get thy) name) of + SOME c => Const (c, pred_type T) + | NONE => + (case AList.lookup op = fun_pred_names name of + SOME f => Free (f, pred_type T) + | NONE => Const (name, T))) + | lookup_pred (Free (name, T)) = + if member op = (map fst pnames) name then + Free (name, transform_ho_typ T) + else + Free (name, T) + | lookup_pred t = + error ("lookup function is not defined for " ^ Syntax.string_of_term_global thy t) + + (* mapping from term (predicate term, not function term!) to int *) + fun get_nparams (Const (name, _)) = + the_default 0 (try (ind_package_get_nparams thy) name) + | get_nparams (Free (name, _)) = + (if member op = prednames name then + length pnames + else 0) + | get_nparams t = error ("No parameters for " ^ (Syntax.string_of_term_global thy t)) + + (* create intro rules *) + + fun mk_intros ((func, pred), (args, rhs)) = + if (body_type (fastype_of func) = @{typ bool}) then + (*TODO: preprocess predicate definition of rhs *) + [Logic.list_implies ([HOLogic.mk_Trueprop rhs], HOLogic.mk_Trueprop (list_comb (pred, args)))] + else + let + val names = Term.add_free_names rhs [] + in mk_prems thy (lookup_pred, get_nparams) rhs (names, []) + |> map (fn (resultt, (names', prems)) => + Logic.list_implies (prems, HOLogic.mk_Trueprop (list_comb (pred, args @ [resultt])))) + end + fun mk_rewr_thm (func, pred) = @{thm refl} + in + case try (maps mk_intros) ((funs ~~ preds) ~~ (argss' ~~ rhss)) of + NONE => thy + | SOME intr_ts => let + val _ = map (tracing o (Syntax.string_of_term_global thy)) intr_ts + in + if is_some (try (map (cterm_of thy)) intr_ts) then + let + val (ind_result, thy') = + Inductive.add_inductive_global (serial_string ()) + {quiet_mode = false, verbose = false, kind = Thm.internalK, + alt_name = Binding.empty, coind = false, no_elim = false, + no_ind = false, skip_mono = false, fork_mono = false} + (map (fn (s, T) => ((Binding.name s, T), NoSyn)) (distinct (op =) (map dest_Free preds))) + pnames + (map (fn x => (Attrib.empty_binding, x)) intr_ts) + [] thy + val prednames = map (fst o dest_Const) (#preds ind_result) + (* val rewr_thms = map mk_rewr_eq ((distinct (op =) funs) ~~ (#preds ind_result)) *) + (* add constants to my table *) + in Pred_Compile_Preproc.map (fold Symtab.update_new (consts ~~ prednames)) thy' end + else + thy + end + end + +(* preprocessing intro rules - uses oracle *) + +(* theory -> thm -> thm *) +fun rewrite_intro thy intro = + let + fun lookup_pred (Const (name, T)) = + (case (Symtab.lookup (Pred_Compile_Preproc.get thy) name) of + SOME c => Const (c, pred_type T) + | NONE => error ("Function " ^ name ^ " is not inductified")) + | lookup_pred (Free (name, T)) = Free (name, T) + | lookup_pred _ = error "lookup function is not defined!" + + fun get_nparams (Const (name, _)) = + the_default 0 (try (ind_package_get_nparams thy) name) + | get_nparams (Free _) = 0 + | get_nparams t = error ("No parameters for " ^ (Syntax.string_of_term_global thy t)) + + val intro_t = (Logic.unvarify o prop_of) intro + val _ = tracing (Syntax.string_of_term_global thy intro_t) + val (prems, concl) = Logic.strip_horn intro_t + val frees = map fst (Term.add_frees intro_t []) + fun rewrite prem names = + let + val t = (HOLogic.dest_Trueprop prem) + val (lit, mk_lit) = case try HOLogic.dest_not t of + SOME t => (t, HOLogic.mk_not) + | NONE => (t, I) + val (P, args) = (strip_comb lit) + in + folds_map ( + fn t => if (is_funtype (fastype_of t)) then (fn x => [(t, x)]) + else mk_prems thy (lookup_pred, get_nparams) t) args (names, []) + |> map (fn (resargs, (names', prems')) => + let + val prem' = HOLogic.mk_Trueprop (mk_lit (list_comb (P, resargs))) + in (prem'::prems', names') end) + end + val intro_ts' = folds_map rewrite prems frees + |> maps (fn (prems', frees') => + rewrite concl frees' + |> map (fn (concl'::conclprems, _) => + Logic.list_implies ((flat prems') @ conclprems, concl'))) + val _ = Output.tracing ("intro_ts': " ^ + commas (map (Syntax.string_of_term_global thy) intro_ts')) + in + map (Drule.standard o the_oracle () o cterm_of thy) intro_ts' + end; + +end; diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Tools/Predicate_Compile/pred_compile_pred.ML --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/Tools/Predicate_Compile/pred_compile_pred.ML Fri Sep 25 09:50:31 2009 +0200 @@ -0,0 +1,138 @@ +(* Author: Lukas Bulwahn, TU Muenchen + +Preprocessing definitions of predicates to introduction rules +*) + +signature PREDICATE_COMPILE_PRED = +sig + (* preprocesses an equation to a set of intro rules; defines new constants *) + (* + val preprocess_pred_equation : thm -> theory -> thm list * theory + *) + val preprocess : string -> theory -> (thm list list * theory) + (* output is the term list of clauses of an unknown predicate *) + val preprocess_term : term -> theory -> (term list * theory) + + (*val rewrite : thm -> thm*) + +end; +(* : PREDICATE_COMPILE_PREPROC_PRED *) +structure Predicate_Compile_Pred = +struct + +open Predicate_Compile_Aux + +fun is_compound ((Const ("Not", _)) $ t) = + error "is_compound: Negation should not occur; preprocessing is defect" + | is_compound ((Const ("Ex", _)) $ _) = true + | is_compound ((Const (@{const_name "op |"}, _)) $ _ $ _) = true + | is_compound ((Const ("op &", _)) $ _ $ _) = + error "is_compound: Conjunction should not occur; preprocessing is defect" + | is_compound _ = false + +fun flatten constname atom (defs, thy) = + if is_compound atom then + let + val constname = Name.variant (map (Long_Name.base_name o fst) defs) + ((Long_Name.base_name constname) ^ "_aux") + val full_constname = Sign.full_bname thy constname + val (params, args) = List.partition (is_predT o fastype_of) + (map Free (Term.add_frees atom [])) + val constT = map fastype_of (params @ args) ---> HOLogic.boolT + val lhs = list_comb (Const (full_constname, constT), params @ args) + val def = Logic.mk_equals (lhs, atom) + val ([definition], thy') = thy + |> Sign.add_consts_i [(Binding.name constname, constT, NoSyn)] + |> PureThy.add_defs false [((Binding.name (constname ^ "_def"), def), [])] + in + (lhs, ((full_constname, [definition]) :: defs, thy')) + end + else + (atom, (defs, thy)) + +fun flatten_intros constname intros thy = + let + val ctxt = ProofContext.init thy + val ((_, intros), ctxt') = Variable.import true intros ctxt + val (intros', (local_defs, thy')) = (fold_map o fold_map_atoms) + (flatten constname) (map prop_of intros) ([], thy) + val tac = fn {...} => setmp quick_and_dirty true (SkipProof.cheat_tac thy') + val intros'' = map (fn t => Goal.prove ctxt' [] [] t tac) intros' + |> Variable.export ctxt' ctxt + in + (intros'', (local_defs, thy')) + end + +(* TODO: same function occurs in inductive package *) +fun select_disj 1 1 = [] + | select_disj _ 1 = [rtac @{thm disjI1}] + | select_disj n i = (rtac @{thm disjI2})::(select_disj (n - 1) (i - 1)); + +fun introrulify thy ths = + let + val ctxt = ProofContext.init thy + val ((_, ths'), ctxt') = Variable.import true ths ctxt + fun introrulify' th = + let + val (lhs, rhs) = Logic.dest_equals (prop_of th) + val frees = Term.add_free_names rhs [] + val disjuncts = HOLogic.dest_disj rhs + val nctxt = Name.make_context frees + fun mk_introrule t = + let + val ((ps, t'), nctxt') = focus_ex t nctxt + val prems = map HOLogic.mk_Trueprop (HOLogic.dest_conj t') + in + (ps, Logic.list_implies (prems, HOLogic.mk_Trueprop lhs)) + end + val x = ((cterm_of thy) o the_single o snd o strip_comb o HOLogic.dest_Trueprop o fst o + Logic.dest_implies o prop_of) @{thm exI} + fun prove_introrule (index, (ps, introrule)) = + let + val tac = Simplifier.simp_tac (HOL_basic_ss addsimps [th]) 1 + THEN EVERY1 (select_disj (length disjuncts) (index + 1)) + THEN (EVERY (map (fn y => + rtac (Drule.cterm_instantiate [(x, cterm_of thy (Free y))] @{thm exI}) 1) ps)) + THEN REPEAT_DETERM (rtac @{thm conjI} 1 THEN atac 1) + THEN TRY (atac 1) + in + Goal.prove ctxt' (map fst ps) [] introrule (fn {...} => tac) + end + in + map_index prove_introrule (map mk_introrule disjuncts) + end + in maps introrulify' ths' |> Variable.export ctxt' ctxt end + +val rewrite = + Simplifier.simplify (HOL_basic_ss addsimps [@{thm Ball_def}, @{thm Bex_def}]) + #> Simplifier.simplify (HOL_basic_ss addsimps [@{thm all_not_ex}]) + #> Conv.fconv_rule nnf_conv + #> Simplifier.simplify (HOL_basic_ss addsimps [@{thm ex_disj_distrib}]) + +val rewrite_intros = + Simplifier.simplify (HOL_basic_ss addsimps @{thms HOL.simp_thms(9)}) + +fun preprocess (constname, specs) thy = + let + val ctxt = ProofContext.init thy + val intros = + if forall is_pred_equation specs then + introrulify thy (map rewrite specs) + else if forall (is_intro constname) specs then + map rewrite_intros specs + else + error ("unexpected specification for constant " ^ quote constname ^ ":\n" + ^ commas (map (quote o Display.string_of_thm_global thy) specs)) + val _ = tracing ("Introduction rules of definitions before flattening: " + ^ commas (map (Display.string_of_thm ctxt) intros)) + val _ = tracing "Defining local predicates and their intro rules..." + val (intros', (local_defs, thy')) = flatten_intros constname intros thy + val (intross, thy'') = fold_map preprocess local_defs thy' + in + (intros' :: flat intross,thy'') + end; + +fun preprocess_term t thy = error "preprocess_pred_term: to implement" + + +end; diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Tools/Predicate_Compile/pred_compile_quickcheck.ML --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/Tools/Predicate_Compile/pred_compile_quickcheck.ML Fri Sep 25 09:50:31 2009 +0200 @@ -0,0 +1,93 @@ +(* Author: Lukas Bulwahn, TU Muenchen + +A quickcheck generator based on the predicate compiler +*) + +signature PRED_COMPILE_QUICKCHECK = +sig + val quickcheck : Proof.context -> term -> int -> term list option + val test_ref : ((unit -> int -> int * int -> term list Predicate.pred * (int * int)) option) ref +end; + +structure Pred_Compile_Quickcheck : PRED_COMPILE_QUICKCHECK = +struct + +val test_ref = ref (NONE : (unit -> int -> int * int -> term list Predicate.pred * (int * int)) option) +val target = "Quickcheck" + +fun dest_compfuns (Predicate_Compile_Core.CompilationFuns funs) = funs +val mk_predT = #mk_predT (dest_compfuns Predicate_Compile_Core.pred_compfuns) +val mk_rpredT = #mk_predT (dest_compfuns Predicate_Compile_Core.rpred_compfuns) +val mk_return = #mk_single (dest_compfuns Predicate_Compile_Core.rpred_compfuns) +val mk_bind = #mk_bind (dest_compfuns Predicate_Compile_Core.rpred_compfuns) +val lift_pred = #lift_pred (dest_compfuns Predicate_Compile_Core.rpred_compfuns) + +fun mk_split_lambda [] t = Abs ("u", HOLogic.unitT, t) + | mk_split_lambda [x] t = lambda x t + | mk_split_lambda xs t = + let + fun mk_split_lambda' (x::y::[]) t = HOLogic.mk_split (lambda x (lambda y t)) + | mk_split_lambda' (x::xs) t = HOLogic.mk_split (lambda x (mk_split_lambda' xs t)) + in + mk_split_lambda' xs t + end; + +fun strip_imp_prems (Const("op -->", _) $ A $ B) = A :: strip_imp_prems B + | strip_imp_prems _ = []; + +fun strip_imp_concl (Const("op -->", _) $ A $ B) = strip_imp_concl B + | strip_imp_concl A = A : term; + +fun strip_horn A = (strip_imp_prems A, strip_imp_concl A); + +fun quickcheck ctxt t = + let + val _ = tracing ("Starting quickcheck with " ^ (Syntax.string_of_term ctxt t)) + val ctxt' = ProofContext.theory (Context.copy_thy) ctxt + val thy = (ProofContext.theory_of ctxt') + val (vs, t') = strip_abs t + val vs' = Variable.variant_frees ctxt' [] vs + val t'' = subst_bounds (map Free (rev vs'), t') + val (prems, concl) = strip_horn t'' + val constname = "pred_compile_quickcheck" + val full_constname = Sign.full_bname thy constname + val constT = map snd vs' ---> @{typ bool} + val thy' = Sign.add_consts_i [(Binding.name constname, constT, NoSyn)] thy + val t = Logic.list_implies + (map HOLogic.mk_Trueprop (prems @ [HOLogic.mk_not concl]), + HOLogic.mk_Trueprop (list_comb (Const (full_constname, constT), map Free vs'))) + val tac = fn {...} => setmp quick_and_dirty true (SkipProof.cheat_tac thy') + val intro = Goal.prove (ProofContext.init thy') (map fst vs') [] t tac + val _ = tracing (Display.string_of_thm ctxt' intro) + val thy'' = thy' + |> Context.theory_map (Predicate_Compile_Preproc_Const_Defs.add_thm intro) + |> Predicate_Compile.preprocess full_constname + |> Predicate_Compile_Core.add_equations [full_constname] + |> Predicate_Compile_Core.add_sizelim_equations [full_constname] + |> Predicate_Compile_Core.add_quickcheck_equations [full_constname] + val sizelim_modes = Predicate_Compile_Core.sizelim_modes_of thy'' full_constname + val modes = Predicate_Compile_Core.generator_modes_of thy'' full_constname + val prog = + if member (op =) modes ([], []) then + let + val name = Predicate_Compile_Core.generator_name_of thy'' full_constname ([], []) + val T = @{typ code_numeral} --> (mk_rpredT (HOLogic.mk_tupleT (map snd vs'))) + in Const (name, T) $ Bound 0 end + else if member (op =) sizelim_modes ([], []) then + let + val name = Predicate_Compile_Core.sizelim_function_name_of thy'' full_constname ([], []) + val T = @{typ code_numeral} --> (mk_predT (HOLogic.mk_tupleT (map snd vs'))) + in lift_pred (Const (name, T) $ Bound 0) end + else error "Predicate Compile Quickcheck failed" + val qc_term = Abs ("size", @{typ code_numeral}, mk_bind (prog, + mk_split_lambda (map Free vs') (mk_return (HOLogic.mk_list @{typ term} + (map2 HOLogic.mk_term_of (map snd vs') (map Free vs')))))) + val _ = tracing (Syntax.string_of_term ctxt' qc_term) + val compile = Code_ML.eval (SOME target) ("Pred_Compile_Quickcheck.test_ref", test_ref) + (fn proc => fn g => fn s => g s #>> (Predicate.map o map) proc) + thy'' qc_term [] + in + ((compile #> Random_Engine.run) #> (Option.map fst o Predicate.yield)) + end + +end; diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Tools/Predicate_Compile/pred_compile_set.ML --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/Tools/Predicate_Compile/pred_compile_set.ML Fri Sep 25 09:50:31 2009 +0200 @@ -0,0 +1,51 @@ +(* Author: Lukas Bulwahn, TU Muenchen + +Preprocessing sets to predicates +*) + +signature PRED_COMPILE_SET = +sig +(* + val preprocess_intro : thm -> theory -> thm * theory + val preprocess_clause : term -> theory -> term * theory +*) + val unfold_set_notation : thm -> thm; +end; + +structure Pred_Compile_Set : PRED_COMPILE_SET = +struct +(*FIXME: unfolding Ball in pretty adhoc here *) +val unfold_set_lemmas = [@{thm Collect_def}, @{thm mem_def}, @{thm Ball_def}] + +val unfold_set_notation = Simplifier.rewrite_rule unfold_set_lemmas + +(* +fun find_set_theorems ctxt cname = + let + val _ = cname +*) + +(* +fun preprocess_term t ctxt = + case t of + Const ("op :", _) $ x $ A => + case strip_comb A of + (Const (cname, T), params) => + let + val _ = find_set_theorems + in + (t, ctxt) + end + | _ => (t, ctxt) + | _ => (t, ctxt) +*) +(* +fun preprocess_intro th thy = + let + val cnames = find_heads_of_prems + val set_cname = filter (has_set_definition + val _ = define_preds + val _ = prep_pred_def + in +*) +end; diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Tools/Predicate_Compile/predicate_compile.ML --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/Tools/Predicate_Compile/predicate_compile.ML Fri Sep 25 09:50:31 2009 +0200 @@ -0,0 +1,91 @@ +(* Author: Lukas Bulwahn, TU Muenchen + +*) +signature PREDICATE_COMPILE = +sig + val setup : theory -> theory + val preprocess : string -> theory -> theory +end; + +structure Predicate_Compile : PREDICATE_COMPILE = +struct + +open Predicate_Compile_Aux; + +val priority = tracing; + +(* Some last processing *) +fun remove_pointless_clauses intro = + if Logic.strip_imp_prems (prop_of intro) = [@{prop "False"}] then + [] + else [intro] + +fun preprocess_strong_conn_constnames gr constnames thy = + let + val get_specs = map (fn k => (k, Graph.get_node gr k)) + val _ = priority ("Preprocessing scc of " ^ commas constnames) + val (prednames, funnames) = List.partition (is_pred thy) constnames + (* untangle recursion by defining predicates for all functions *) + val _ = priority "Compiling functions to predicates..." + val _ = Output.tracing ("funnames: " ^ commas funnames) + val thy' = + thy |> not (null funnames) ? Predicate_Compile_Fun.define_predicates + (get_specs funnames) + val _ = priority "Compiling predicates to flat introrules..." + val (intross, thy'') = apfst flat (fold_map Predicate_Compile_Pred.preprocess + (get_specs prednames) thy') + val _ = tracing ("Flattened introduction rules: " ^ + commas (map (Display.string_of_thm_global thy'') (flat intross))) + val _ = priority "Replacing functions in introrules..." + (* val _ = burrow (maps (Predicate_Compile_Fun.rewrite_intro thy'')) intross *) + val intross' = + case try (burrow (maps (Predicate_Compile_Fun.rewrite_intro thy''))) intross of + SOME intross' => intross' + | NONE => let val _ = warning "Function replacement failed!" in intross end + val _ = tracing ("Introduction rules with replaced functions: " ^ + commas (map (Display.string_of_thm_global thy'') (flat intross'))) + val intross'' = burrow (maps remove_pointless_clauses) intross' + val intross'' = burrow (map (AxClass.overload thy'')) intross'' + val _ = priority "Registering intro rules..." + val thy''' = fold Predicate_Compile_Core.register_intros intross'' thy'' + in + thy''' + end; + +fun preprocess const thy = + let + val _ = Output.tracing ("Fetching definitions from theory...") + val table = Pred_Compile_Data.make_const_spec_table thy + val gr = Pred_Compile_Data.obtain_specification_graph table const + val _ = Output.tracing (commas (Graph.all_succs gr [const])) + val gr = Graph.subgraph (member (op =) (Graph.all_succs gr [const])) gr + in fold_rev (preprocess_strong_conn_constnames gr) + (Graph.strong_conn gr) thy + end + +fun code_pred_cmd ((inductify_all, rpred), raw_const) lthy = + if inductify_all then + let + val thy = ProofContext.theory_of lthy + val const = Code.read_const thy raw_const + val lthy' = LocalTheory.theory (preprocess const) lthy + |> LocalTheory.checkpoint + val _ = tracing "Starting Predicate Compile Core..." + in Predicate_Compile_Core.code_pred_cmd rpred raw_const lthy' end + else + Predicate_Compile_Core.code_pred_cmd rpred raw_const lthy + +val setup = Predicate_Compile_Fun.setup_oracle #> Predicate_Compile_Core.setup + +val _ = List.app OuterKeyword.keyword ["inductify_all", "rpred"] + +local structure P = OuterParse +in + +val _ = OuterSyntax.local_theory_to_proof "code_pred" + "prove equations for predicate specified by intro/elim rules" + OuterKeyword.thy_goal (P.opt_keyword "inductify_all" -- P.opt_keyword "rpred" -- P.term_group >> code_pred_cmd) + +end + +end diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/Tools/Predicate_Compile/predicate_compile_core.ML --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/Tools/Predicate_Compile/predicate_compile_core.ML Fri Sep 25 09:50:31 2009 +0200 @@ -0,0 +1,2425 @@ +(* Author: Lukas Bulwahn, TU Muenchen + +(Prototype of) A compiler from predicates specified by intro/elim rules +to equations. +*) + +signature PREDICATE_COMPILE_CORE = +sig + val setup: theory -> theory + val code_pred: bool -> string -> Proof.context -> Proof.state + val code_pred_cmd: bool -> string -> Proof.context -> Proof.state + type smode = (int * int list option) list + type mode = smode option list * smode + datatype tmode = Mode of mode * smode * tmode option list; + (*val add_equations_of: bool -> string list -> theory -> theory *) + val register_predicate : (thm list * thm * int) -> theory -> theory + val register_intros : thm list -> theory -> theory + val is_registered : theory -> string -> bool + (* val fetch_pred_data : theory -> string -> (thm list * thm * int) *) + val predfun_intro_of: theory -> string -> mode -> thm + val predfun_elim_of: theory -> string -> mode -> thm + val strip_intro_concl: int -> term -> term * (term list * term list) + val predfun_name_of: theory -> string -> mode -> string + val all_preds_of : theory -> string list + val modes_of: theory -> string -> mode list + val sizelim_modes_of: theory -> string -> mode list + val sizelim_function_name_of : theory -> string -> mode -> string + val generator_modes_of: theory -> string -> mode list + val generator_name_of : theory -> string -> mode -> string + val string_of_mode : mode -> string + val intros_of: theory -> string -> thm list + val nparams_of: theory -> string -> int + val add_intro: thm -> theory -> theory + val set_elim: thm -> theory -> theory + val set_nparams : string -> int -> theory -> theory + val print_stored_rules: theory -> unit + val print_all_modes: theory -> unit + val do_proofs: bool ref + val mk_casesrule : Proof.context -> int -> thm list -> term + val analyze_compr: theory -> term -> term + val eval_ref: (unit -> term Predicate.pred) option ref + val add_equations : string list -> theory -> theory + val code_pred_intros_attrib : attribute + (* used by Quickcheck_Generator *) + (*val funT_of : mode -> typ -> typ + val mk_if_pred : term -> term + val mk_Eval : term * term -> term*) + val mk_tupleT : typ list -> typ +(* val mk_predT : typ -> typ *) + (* temporary for testing of the compilation *) + datatype indprem = Prem of term list * term | Negprem of term list * term | Sidecond of term | + GeneratorPrem of term list * term | Generator of (string * typ); + (* val prepare_intrs: theory -> string list -> + (string * typ) list * int * string list * string list * (string * mode list) list * + (string * (term list * indprem list) list) list * (string * (int option list * int)) list*) + datatype compilation_funs = CompilationFuns of { + mk_predT : typ -> typ, + dest_predT : typ -> typ, + mk_bot : typ -> term, + mk_single : term -> term, + mk_bind : term * term -> term, + mk_sup : term * term -> term, + mk_if : term -> term, + mk_not : term -> term, + mk_map : typ -> typ -> term -> term -> term, + lift_pred : term -> term + }; + type moded_clause = term list * (indprem * tmode) list + type 'a pred_mode_table = (string * (mode * 'a) list) list + val infer_modes : theory -> (string * mode list) list + -> (string * mode list) list + -> string list + -> (string * (term list * indprem list) list) list + -> (moded_clause list) pred_mode_table + val infer_modes_with_generator : theory -> (string * mode list) list + -> (string * mode list) list + -> string list + -> (string * (term list * indprem list) list) list + -> (moded_clause list) pred_mode_table + (*val compile_preds : theory -> compilation_funs -> string list -> string list + -> (string * typ) list -> (moded_clause list) pred_mode_table -> term pred_mode_table + val rpred_create_definitions :(string * typ) list -> string * mode list + -> theory -> theory + val split_smode : int list -> term list -> (term list * term list) *) + val print_moded_clauses : + theory -> (moded_clause list) pred_mode_table -> unit + val print_compiled_terms : theory -> term pred_mode_table -> unit + (*val rpred_prove_preds : theory -> term pred_mode_table -> thm pred_mode_table*) + val pred_compfuns : compilation_funs + val rpred_compfuns : compilation_funs + val dest_funT : typ -> typ * typ + (* val depending_preds_of : theory -> thm list -> string list *) + val add_quickcheck_equations : string list -> theory -> theory + val add_sizelim_equations : string list -> theory -> theory + val is_inductive_predicate : theory -> string -> bool + val terms_vs : term list -> string list + val subsets : int -> int -> int list list + val check_mode_clause : bool -> theory -> string list -> + (string * mode list) list -> (string * mode list) list -> mode -> (term list * indprem list) + -> (term list * (indprem * tmode) list) option + val string_of_moded_prem : theory -> (indprem * tmode) -> string + val all_modes_of : theory -> (string * mode list) list + val all_generator_modes_of : theory -> (string * mode list) list + val compile_clause : compilation_funs -> term option -> (term list -> term) -> + theory -> string list -> string list -> mode -> term -> moded_clause -> term + val preprocess_intro : theory -> thm -> thm + val is_constrt : theory -> term -> bool + val is_predT : typ -> bool + val guess_nparams : typ -> int + val cprods_subset : 'a list list -> 'a list list +end; + +structure Predicate_Compile_Core : PREDICATE_COMPILE_CORE = +struct + +open Predicate_Compile_Aux; +(** auxiliary **) + +(* debug stuff *) + +fun tracing s = (if ! Toplevel.debug then Output.tracing s else ()); + +fun print_tac s = Seq.single; (*Tactical.print_tac s;*) (* (if ! Toplevel.debug then Tactical.print_tac s else Seq.single); *) +fun debug_tac msg = Seq.single; (* (fn st => (Output.tracing msg; Seq.single st)); *) + +val do_proofs = ref true; + +(* reference to preprocessing of InductiveSet package *) + +val ind_set_codegen_preproc = (fn thy => I) (*Inductive_Set.codegen_preproc;*) + +(** fundamentals **) + +(* syntactic operations *) + +fun mk_eq (x, xs) = + let fun mk_eqs _ [] = [] + | mk_eqs a (b::cs) = + HOLogic.mk_eq (Free (a, fastype_of b), b) :: mk_eqs a cs + in mk_eqs x xs end; + +fun mk_tupleT [] = HOLogic.unitT + | mk_tupleT Ts = foldr1 HOLogic.mk_prodT Ts; + +fun dest_tupleT (Type (@{type_name Product_Type.unit}, [])) = [] + | dest_tupleT (Type (@{type_name "*"}, [T1, T2])) = T1 :: (dest_tupleT T2) + | dest_tupleT t = [t] + +fun mk_tuple [] = HOLogic.unit + | mk_tuple ts = foldr1 HOLogic.mk_prod ts; + +fun dest_tuple (Const (@{const_name Product_Type.Unity}, _)) = [] + | dest_tuple (Const (@{const_name Pair}, _) $ t1 $ t2) = t1 :: (dest_tuple t2) + | dest_tuple t = [t] + +fun mk_scomp (t, u) = + let + val T = fastype_of t + val U = fastype_of u + val [A] = binder_types T + val D = body_type U + in + Const (@{const_name "scomp"}, T --> U --> A --> D) $ t $ u + end; + +fun dest_funT (Type ("fun",[S, T])) = (S, T) + | dest_funT T = raise TYPE ("dest_funT", [T], []) + +fun mk_fun_comp (t, u) = + let + val (_, B) = dest_funT (fastype_of t) + val (C, A) = dest_funT (fastype_of u) + in + Const(@{const_name "Fun.comp"}, (A --> B) --> (C --> A) --> C --> B) $ t $ u + end; + +fun dest_randomT (Type ("fun", [@{typ Random.seed}, + Type ("*", [Type ("*", [T, @{typ "unit => Code_Evaluation.term"}]) ,@{typ Random.seed}])])) = T + | dest_randomT T = raise TYPE ("dest_randomT", [T], []) + +(* destruction of intro rules *) + +(* FIXME: look for other place where this functionality was used before *) +fun strip_intro_concl nparams intro = let + val _ $ u = Logic.strip_imp_concl intro + val (pred, all_args) = strip_comb u + val (params, args) = chop nparams all_args +in (pred, (params, args)) end + +(** data structures **) + +type smode = (int * int list option) list +type mode = smode option list * smode; +datatype tmode = Mode of mode * smode * tmode option list; + +fun gen_split_smode (mk_tuple, strip_tuple) smode ts = + let + fun split_tuple' _ _ [] = ([], []) + | split_tuple' is i (t::ts) = + (if i mem is then apfst else apsnd) (cons t) + (split_tuple' is (i+1) ts) + fun split_tuple is t = split_tuple' is 1 (strip_tuple t) + fun split_smode' _ _ [] = ([], []) + | split_smode' smode i (t::ts) = + (if i mem (map fst smode) then + case (the (AList.lookup (op =) smode i)) of + NONE => apfst (cons t) + | SOME is => + let + val (ts1, ts2) = split_tuple is t + fun cons_tuple ts = if null ts then I else cons (mk_tuple ts) + in (apfst (cons_tuple ts1)) o (apsnd (cons_tuple ts2)) end + else apsnd (cons t)) + (split_smode' smode (i+1) ts) + in split_smode' smode 1 ts end + +val split_smode = gen_split_smode (HOLogic.mk_tuple, HOLogic.strip_tuple) +val split_smodeT = gen_split_smode (HOLogic.mk_tupleT, HOLogic.strip_tupleT) + +fun gen_split_mode split_smode (iss, is) ts = + let + val (t1, t2) = chop (length iss) ts + in (t1, split_smode is t2) end + +val split_mode = gen_split_mode split_smode +val split_modeT = gen_split_mode split_smodeT + +fun string_of_smode js = + commas (map + (fn (i, is) => + string_of_int i ^ (case is of NONE => "" + | SOME is => "p" ^ enclose "[" "]" (commas (map string_of_int is)))) js) + +fun string_of_mode (iss, is) = space_implode " -> " (map + (fn NONE => "X" + | SOME js => enclose "[" "]" (string_of_smode js)) + (iss @ [SOME is])); + +fun string_of_tmode (Mode (predmode, termmode, param_modes)) = + "predmode: " ^ (string_of_mode predmode) ^ + (if null param_modes then "" else + "; " ^ "params: " ^ commas (map (the_default "NONE" o Option.map string_of_tmode) param_modes)) + +(* generation of case rules from user-given introduction rules *) + +fun mk_casesrule ctxt nparams introrules = + let + val ((_, intros_th), ctxt1) = Variable.import false introrules ctxt + val intros = map prop_of intros_th + val (pred, (params, args)) = strip_intro_concl nparams (hd intros) + val ([propname], ctxt2) = Variable.variant_fixes ["thesis"] ctxt1 + val prop = HOLogic.mk_Trueprop (Free (propname, HOLogic.boolT)) + val (argnames, ctxt3) = Variable.variant_fixes + (map (fn i => "a" ^ string_of_int i) (1 upto (length args))) ctxt2 + val argvs = map2 (curry Free) argnames (map fastype_of args) + fun mk_case intro = + let + val (_, (_, args)) = strip_intro_concl nparams intro + val prems = Logic.strip_imp_prems intro + val eqprems = map (HOLogic.mk_Trueprop o HOLogic.mk_eq) (argvs ~~ args) + val frees = (fold o fold_aterms) + (fn t as Free _ => + if member (op aconv) params t then I else insert (op aconv) t + | _ => I) (args @ prems) [] + in fold Logic.all frees (Logic.list_implies (eqprems @ prems, prop)) end + val assm = HOLogic.mk_Trueprop (list_comb (pred, params @ argvs)) + val cases = map mk_case intros + in Logic.list_implies (assm :: cases, prop) end; + + +datatype indprem = Prem of term list * term | Negprem of term list * term | Sidecond of term | + GeneratorPrem of term list * term | Generator of (string * typ); + +type moded_clause = term list * (indprem * tmode) list +type 'a pred_mode_table = (string * (mode * 'a) list) list + +datatype predfun_data = PredfunData of { + name : string, + definition : thm, + intro : thm, + elim : thm +}; + +fun rep_predfun_data (PredfunData data) = data; +fun mk_predfun_data (name, definition, intro, elim) = + PredfunData {name = name, definition = definition, intro = intro, elim = elim} + +datatype function_data = FunctionData of { + name : string, + equation : thm option (* is not used at all? *) +}; + +fun rep_function_data (FunctionData data) = data; +fun mk_function_data (name, equation) = + FunctionData {name = name, equation = equation} + +datatype pred_data = PredData of { + intros : thm list, + elim : thm option, + nparams : int, + functions : (mode * predfun_data) list, + generators : (mode * function_data) list, + sizelim_functions : (mode * function_data) list +}; + +fun rep_pred_data (PredData data) = data; +fun mk_pred_data ((intros, elim, nparams), (functions, generators, sizelim_functions)) = + PredData {intros = intros, elim = elim, nparams = nparams, + functions = functions, generators = generators, sizelim_functions = sizelim_functions} +fun map_pred_data f (PredData {intros, elim, nparams, functions, generators, sizelim_functions}) = + mk_pred_data (f ((intros, elim, nparams), (functions, generators, sizelim_functions))) + +fun eq_option eq (NONE, NONE) = true + | eq_option eq (SOME x, SOME y) = eq (x, y) + | eq_option eq _ = false + +fun eq_pred_data (PredData d1, PredData d2) = + eq_list (Thm.eq_thm) (#intros d1, #intros d2) andalso + eq_option (Thm.eq_thm) (#elim d1, #elim d2) andalso + #nparams d1 = #nparams d2 + +structure PredData = TheoryDataFun +( + type T = pred_data Graph.T; + val empty = Graph.empty; + val copy = I; + val extend = I; + fun merge _ = Graph.merge eq_pred_data; +); + +(* queries *) + +fun lookup_pred_data thy name = + Option.map rep_pred_data (try (Graph.get_node (PredData.get thy)) name) + +fun the_pred_data thy name = case lookup_pred_data thy name + of NONE => error ("No such predicate " ^ quote name) + | SOME data => data; + +val is_registered = is_some oo lookup_pred_data + +val all_preds_of = Graph.keys o PredData.get + +fun intros_of thy = map (Thm.transfer thy) o #intros o the_pred_data thy + +fun the_elim_of thy name = case #elim (the_pred_data thy name) + of NONE => error ("No elimination rule for predicate " ^ quote name) + | SOME thm => Thm.transfer thy thm + +val has_elim = is_some o #elim oo the_pred_data; + +val nparams_of = #nparams oo the_pred_data + +val modes_of = (map fst) o #functions oo the_pred_data + +val sizelim_modes_of = (map fst) o #sizelim_functions oo the_pred_data + +val rpred_modes_of = (map fst) o #generators oo the_pred_data + +fun all_modes_of thy = map (fn name => (name, modes_of thy name)) (all_preds_of thy) + +val is_compiled = not o null o #functions oo the_pred_data + +fun lookup_predfun_data thy name mode = + Option.map rep_predfun_data (AList.lookup (op =) + (#functions (the_pred_data thy name)) mode) + +fun the_predfun_data thy name mode = case lookup_predfun_data thy name mode + of NONE => error ("No function defined for mode " ^ string_of_mode mode ^ " of predicate " ^ name) + | SOME data => data; + +val predfun_name_of = #name ooo the_predfun_data + +val predfun_definition_of = #definition ooo the_predfun_data + +val predfun_intro_of = #intro ooo the_predfun_data + +val predfun_elim_of = #elim ooo the_predfun_data + +fun lookup_generator_data thy name mode = + Option.map rep_function_data (AList.lookup (op =) + (#generators (the_pred_data thy name)) mode) + +fun the_generator_data thy name mode = case lookup_generator_data thy name mode + of NONE => error ("No generator defined for mode " ^ string_of_mode mode ^ " of predicate " ^ name) + | SOME data => data + +val generator_name_of = #name ooo the_generator_data + +val generator_modes_of = (map fst) o #generators oo the_pred_data + +fun all_generator_modes_of thy = + map (fn name => (name, generator_modes_of thy name)) (all_preds_of thy) + +fun lookup_sizelim_function_data thy name mode = + Option.map rep_function_data (AList.lookup (op =) + (#sizelim_functions (the_pred_data thy name)) mode) + +fun the_sizelim_function_data thy name mode = case lookup_sizelim_function_data thy name mode + of NONE => error ("No size-limited function defined for mode " ^ string_of_mode mode + ^ " of predicate " ^ name) + | SOME data => data + +val sizelim_function_name_of = #name ooo the_sizelim_function_data + +(*val generator_modes_of = (map fst) o #generators oo the_pred_data*) + +(* diagnostic display functions *) + +fun print_modes modes = Output.tracing ("Inferred modes:\n" ^ + cat_lines (map (fn (s, ms) => s ^ ": " ^ commas (map + string_of_mode ms)) modes)); + +fun print_pred_mode_table string_of_entry thy pred_mode_table = + let + fun print_mode pred (mode, entry) = "mode : " ^ (string_of_mode mode) + ^ (string_of_entry pred mode entry) + fun print_pred (pred, modes) = + "predicate " ^ pred ^ ": " ^ cat_lines (map (print_mode pred) modes) + val _ = Output.tracing (cat_lines (map print_pred pred_mode_table)) + in () end; + +fun string_of_moded_prem thy (Prem (ts, p), tmode) = + (Syntax.string_of_term_global thy (list_comb (p, ts))) ^ + "(" ^ (string_of_tmode tmode) ^ ")" + | string_of_moded_prem thy (GeneratorPrem (ts, p), Mode (predmode, is, _)) = + (Syntax.string_of_term_global thy (list_comb (p, ts))) ^ + "(generator_mode: " ^ (string_of_mode predmode) ^ ")" + | string_of_moded_prem thy (Generator (v, T), _) = + "Generator for " ^ v ^ " of Type " ^ (Syntax.string_of_typ_global thy T) + | string_of_moded_prem thy (Negprem (ts, p), Mode (_, is, _)) = + (Syntax.string_of_term_global thy (list_comb (p, ts))) ^ + "(negative mode: " ^ string_of_smode is ^ ")" + | string_of_moded_prem thy (Sidecond t, Mode (_, is, _)) = + (Syntax.string_of_term_global thy t) ^ + "(sidecond mode: " ^ string_of_smode is ^ ")" + | string_of_moded_prem _ _ = error "string_of_moded_prem: unimplemented" + +fun print_moded_clauses thy = + let + fun string_of_clause pred mode clauses = + cat_lines (map (fn (ts, prems) => (space_implode " --> " + (map (string_of_moded_prem thy) prems)) ^ " --> " ^ pred ^ " " + ^ (space_implode " " (map (Syntax.string_of_term_global thy) ts))) clauses) + in print_pred_mode_table string_of_clause thy end; + +fun print_compiled_terms thy = + print_pred_mode_table (fn _ => fn _ => Syntax.string_of_term_global thy) thy + +fun print_stored_rules thy = + let + val preds = (Graph.keys o PredData.get) thy + fun print pred () = let + val _ = writeln ("predicate: " ^ pred) + val _ = writeln ("number of parameters: " ^ string_of_int (nparams_of thy pred)) + val _ = writeln ("introrules: ") + val _ = fold (fn thm => fn u => writeln (Display.string_of_thm_global thy thm)) + (rev (intros_of thy pred)) () + in + if (has_elim thy pred) then + writeln ("elimrule: " ^ Display.string_of_thm_global thy (the_elim_of thy pred)) + else + writeln ("no elimrule defined") + end + in + fold print preds () + end; + +fun print_all_modes thy = + let + val _ = writeln ("Inferred modes:") + fun print (pred, modes) u = + let + val _ = writeln ("predicate: " ^ pred) + val _ = writeln ("modes: " ^ (commas (map string_of_mode modes))) + in u end + in + fold print (all_modes_of thy) () + end + +(** preprocessing rules **) + +fun imp_prems_conv cv ct = + case Thm.term_of ct of + Const ("==>", _) $ _ $ _ => Conv.combination_conv (Conv.arg_conv cv) (imp_prems_conv cv) ct + | _ => Conv.all_conv ct + +fun Trueprop_conv cv ct = + case Thm.term_of ct of + Const ("Trueprop", _) $ _ => Conv.arg_conv cv ct + | _ => error "Trueprop_conv" + +fun preprocess_intro thy rule = + Conv.fconv_rule + (imp_prems_conv + (Trueprop_conv (Conv.try_conv (Conv.rewr_conv (Thm.symmetric @{thm Predicate.eq_is_eq}))))) + (Thm.transfer thy rule) + +fun preprocess_elim thy nparams elimrule = + let + val _ = Output.tracing ("Preprocessing elimination rule " + ^ (Display.string_of_thm_global thy elimrule)) + fun replace_eqs (Const ("Trueprop", _) $ (Const ("op =", T) $ lhs $ rhs)) = + HOLogic.mk_Trueprop (Const (@{const_name Predicate.eq}, T) $ lhs $ rhs) + | replace_eqs t = t + val prems = Thm.prems_of elimrule + val nargs = length (snd (strip_comb (HOLogic.dest_Trueprop (hd prems)))) - nparams + fun preprocess_case t = + let + val params = Logic.strip_params t + val (assums1, assums2) = chop nargs (Logic.strip_assums_hyp t) + val assums_hyp' = assums1 @ (map replace_eqs assums2) + in + list_all (params, Logic.list_implies (assums_hyp', Logic.strip_assums_concl t)) + end + val cases' = map preprocess_case (tl prems) + val elimrule' = Logic.list_implies ((hd prems) :: cases', Thm.concl_of elimrule) + (*val _ = Output.tracing ("elimrule': "^ (Syntax.string_of_term_global thy elimrule'))*) + val bigeq = (Thm.symmetric (Conv.implies_concl_conv + (MetaSimplifier.rewrite true [@{thm Predicate.eq_is_eq}]) + (cterm_of thy elimrule'))) + (* + val _ = Output.tracing ("bigeq:" ^ (Display.string_of_thm_global thy bigeq)) + val res = + Thm.equal_elim bigeq elimrule + *) + (* + val t = (fn {...} => mycheat_tac thy 1) + val eq = Goal.prove (ProofContext.init thy) [] [] (Logic.mk_equals ((Thm.prop_of elimrule), elimrule')) t + *) + val _ = Output.tracing "Preprocessed elimination rule" + in + Thm.equal_elim bigeq elimrule + end; + +(* special case: predicate with no introduction rule *) +fun noclause thy predname elim = let + val T = (Logic.unvarifyT o Sign.the_const_type thy) predname + val Ts = binder_types T + val names = Name.variant_list [] + (map (fn i => "x" ^ (string_of_int i)) (1 upto (length Ts))) + val vs = map2 (curry Free) names Ts + val clausehd = HOLogic.mk_Trueprop (list_comb (Const (predname, T), vs)) + val intro_t = Logic.mk_implies (@{prop False}, clausehd) + val P = HOLogic.mk_Trueprop (Free ("P", HOLogic.boolT)) + val elim_t = Logic.list_implies ([clausehd, Logic.mk_implies (@{prop False}, P)], P) + val intro = Goal.prove (ProofContext.init thy) names [] intro_t + (fn {...} => etac @{thm FalseE} 1) + val elim = Goal.prove (ProofContext.init thy) ("P" :: names) [] elim_t + (fn {...} => etac elim 1) +in + ([intro], elim) +end + +fun fetch_pred_data thy name = + case try (Inductive.the_inductive (ProofContext.init thy)) name of + SOME (info as (_, result)) => + let + fun is_intro_of intro = + let + val (const, _) = strip_comb (HOLogic.dest_Trueprop (concl_of intro)) + in (fst (dest_Const const) = name) end; + val intros = ind_set_codegen_preproc thy ((map (preprocess_intro thy)) + (filter is_intro_of (#intrs result))) + val pre_elim = nth (#elims result) (find_index (fn s => s = name) (#names (fst info))) + val nparams = length (Inductive.params_of (#raw_induct result)) + val elim = singleton (ind_set_codegen_preproc thy) (preprocess_elim thy nparams pre_elim) + val (intros, elim) = if null intros then noclause thy name elim else (intros, elim) + in + mk_pred_data ((intros, SOME elim, nparams), ([], [], [])) + end + | NONE => error ("No such predicate: " ^ quote name) + +(* updaters *) + +fun apfst3 f (x, y, z) = (f x, y, z) +fun apsnd3 f (x, y, z) = (x, f y, z) +fun aptrd3 f (x, y, z) = (x, y, f z) + +fun add_predfun name mode data = + let + val add = (apsnd o apfst3 o cons) (mode, mk_predfun_data data) + in PredData.map (Graph.map_node name (map_pred_data add)) end + +fun is_inductive_predicate thy name = + is_some (try (Inductive.the_inductive (ProofContext.init thy)) name) + +fun depending_preds_of thy (key, value) = + let + val intros = (#intros o rep_pred_data) value + in + fold Term.add_const_names (map Thm.prop_of intros) [] + |> filter (fn c => (not (c = key)) andalso (is_inductive_predicate thy c orelse is_registered thy c)) + end; + + +(* code dependency graph *) +(* +fun dependencies_of thy name = + let + val (intros, elim, nparams) = fetch_pred_data thy name + val data = mk_pred_data ((intros, SOME elim, nparams), ([], [], [])) + val keys = depending_preds_of thy intros + in + (data, keys) + end; +*) +(* guessing number of parameters *) +fun find_indexes pred xs = + let + fun find is n [] = is + | find is n (x :: xs) = find (if pred x then (n :: is) else is) (n + 1) xs; + in rev (find [] 0 xs) end; + +fun guess_nparams T = + let + val argTs = binder_types T + val nparams = fold (curry Int.max) + (map (fn x => x + 1) (find_indexes is_predT argTs)) 0 + in nparams end; + +fun add_intro thm thy = let + val (name, T) = dest_Const (fst (strip_intro_concl 0 (prop_of thm))) + fun cons_intro gr = + case try (Graph.get_node gr) name of + SOME pred_data => Graph.map_node name (map_pred_data + (apfst (fn (intro, elim, nparams) => (thm::intro, elim, nparams)))) gr + | NONE => + let + val nparams = the_default (guess_nparams T) (try (#nparams o rep_pred_data o (fetch_pred_data thy)) name) + in Graph.new_node (name, mk_pred_data (([thm], NONE, nparams), ([], [], []))) gr end; + in PredData.map cons_intro thy end + +fun set_elim thm = let + val (name, _) = dest_Const (fst + (strip_comb (HOLogic.dest_Trueprop (hd (prems_of thm))))) + fun set (intros, _, nparams) = (intros, SOME thm, nparams) + in PredData.map (Graph.map_node name (map_pred_data (apfst set))) end + +fun set_nparams name nparams = let + fun set (intros, elim, _ ) = (intros, elim, nparams) + in PredData.map (Graph.map_node name (map_pred_data (apfst set))) end + +fun register_predicate (pre_intros, pre_elim, nparams) thy = + let + val (name, _) = dest_Const (fst (strip_intro_concl nparams (prop_of (hd pre_intros)))) + (* preprocessing *) + val intros = ind_set_codegen_preproc thy (map (preprocess_intro thy) pre_intros) + val elim = singleton (ind_set_codegen_preproc thy) (preprocess_elim thy nparams pre_elim) + in + if not (member (op =) (Graph.keys (PredData.get thy)) name) then + PredData.map + (Graph.new_node (name, mk_pred_data ((intros, SOME elim, nparams), ([], [], [])))) thy + else thy + end + +fun register_intros pre_intros thy = + let + val (c, T) = dest_Const (fst (strip_intro_concl 0 (prop_of (hd pre_intros)))) + val _ = Output.tracing ("Registering introduction rules of " ^ c) + val _ = Output.tracing (commas (map (Display.string_of_thm_global thy) pre_intros)) + val nparams = guess_nparams T + val pre_elim = + (Drule.standard o (setmp quick_and_dirty true (SkipProof.make_thm thy))) + (mk_casesrule (ProofContext.init thy) nparams pre_intros) + in register_predicate (pre_intros, pre_elim, nparams) thy end + +fun set_generator_name pred mode name = + let + val set = (apsnd o apsnd3 o cons) (mode, mk_function_data (name, NONE)) + in + PredData.map (Graph.map_node pred (map_pred_data set)) + end + +fun set_sizelim_function_name pred mode name = + let + val set = (apsnd o aptrd3 o cons) (mode, mk_function_data (name, NONE)) + in + PredData.map (Graph.map_node pred (map_pred_data set)) + end + +(** data structures for generic compilation for different monads **) + +(* maybe rename functions more generic: + mk_predT -> mk_monadT; dest_predT -> dest_monadT + mk_single -> mk_return (?) +*) +datatype compilation_funs = CompilationFuns of { + mk_predT : typ -> typ, + dest_predT : typ -> typ, + mk_bot : typ -> term, + mk_single : term -> term, + mk_bind : term * term -> term, + mk_sup : term * term -> term, + mk_if : term -> term, + mk_not : term -> term, +(* funT_of : mode -> typ -> typ, *) +(* mk_fun_of : theory -> (string * typ) -> mode -> term, *) + mk_map : typ -> typ -> term -> term -> term, + lift_pred : term -> term +}; + +fun mk_predT (CompilationFuns funs) = #mk_predT funs +fun dest_predT (CompilationFuns funs) = #dest_predT funs +fun mk_bot (CompilationFuns funs) = #mk_bot funs +fun mk_single (CompilationFuns funs) = #mk_single funs +fun mk_bind (CompilationFuns funs) = #mk_bind funs +fun mk_sup (CompilationFuns funs) = #mk_sup funs +fun mk_if (CompilationFuns funs) = #mk_if funs +fun mk_not (CompilationFuns funs) = #mk_not funs +(*fun funT_of (CompilationFuns funs) = #funT_of funs*) +(*fun mk_fun_of (CompilationFuns funs) = #mk_fun_of funs*) +fun mk_map (CompilationFuns funs) = #mk_map funs +fun lift_pred (CompilationFuns funs) = #lift_pred funs + +fun funT_of compfuns (iss, is) T = + let + val Ts = binder_types T + val (paramTs, (inargTs, outargTs)) = split_modeT (iss, is) Ts + val paramTs' = map2 (fn NONE => I | SOME is => funT_of compfuns ([], is)) iss paramTs + in + (paramTs' @ inargTs) ---> (mk_predT compfuns (mk_tupleT outargTs)) + end; + +fun mk_fun_of compfuns thy (name, T) mode = + Const (predfun_name_of thy name mode, funT_of compfuns mode T) + + +structure PredicateCompFuns = +struct + +fun mk_predT T = Type (@{type_name "Predicate.pred"}, [T]) + +fun dest_predT (Type (@{type_name "Predicate.pred"}, [T])) = T + | dest_predT T = raise TYPE ("dest_predT", [T], []); + +fun mk_bot T = Const (@{const_name Orderings.bot}, mk_predT T); + +fun mk_single t = + let val T = fastype_of t + in Const(@{const_name Predicate.single}, T --> mk_predT T) $ t end; + +fun mk_bind (x, f) = + let val T as Type ("fun", [_, U]) = fastype_of f + in + Const (@{const_name Predicate.bind}, fastype_of x --> T --> U) $ x $ f + end; + +val mk_sup = HOLogic.mk_binop @{const_name sup}; + +fun mk_if cond = Const (@{const_name Predicate.if_pred}, + HOLogic.boolT --> mk_predT HOLogic.unitT) $ cond; + +fun mk_not t = let val T = mk_predT HOLogic.unitT + in Const (@{const_name Predicate.not_pred}, T --> T) $ t end + +fun mk_Enum f = + let val T as Type ("fun", [T', _]) = fastype_of f + in + Const (@{const_name Predicate.Pred}, T --> mk_predT T') $ f + end; + +fun mk_Eval (f, x) = + let + val T = fastype_of x + in + Const (@{const_name Predicate.eval}, mk_predT T --> T --> HOLogic.boolT) $ f $ x + end; + +fun mk_map T1 T2 tf tp = Const (@{const_name Predicate.map}, + (T1 --> T2) --> mk_predT T1 --> mk_predT T2) $ tf $ tp; + +val lift_pred = I + +val compfuns = CompilationFuns {mk_predT = mk_predT, dest_predT = dest_predT, mk_bot = mk_bot, + mk_single = mk_single, mk_bind = mk_bind, mk_sup = mk_sup, mk_if = mk_if, mk_not = mk_not, + mk_map = mk_map, lift_pred = lift_pred}; + +end; + +structure RPredCompFuns = +struct + +fun mk_rpredT T = + @{typ "Random.seed"} --> HOLogic.mk_prodT (PredicateCompFuns.mk_predT T, @{typ "Random.seed"}) + +fun dest_rpredT (Type ("fun", [_, + Type (@{type_name "*"}, [Type (@{type_name "Predicate.pred"}, [T]), _])])) = T + | dest_rpredT T = raise TYPE ("dest_rpredT", [T], []); + +fun mk_bot T = Const(@{const_name RPred.bot}, mk_rpredT T) + +fun mk_single t = + let + val T = fastype_of t + in + Const (@{const_name RPred.return}, T --> mk_rpredT T) $ t + end; + +fun mk_bind (x, f) = + let + val T as (Type ("fun", [_, U])) = fastype_of f + in + Const (@{const_name RPred.bind}, fastype_of x --> T --> U) $ x $ f + end + +val mk_sup = HOLogic.mk_binop @{const_name RPred.supp} + +fun mk_if cond = Const (@{const_name RPred.if_rpred}, + HOLogic.boolT --> mk_rpredT HOLogic.unitT) $ cond; + +fun mk_not t = error "Negation is not defined for RPred" + +fun mk_map t = error "FIXME" (*FIXME*) + +fun lift_pred t = + let + val T = PredicateCompFuns.dest_predT (fastype_of t) + val lift_predT = PredicateCompFuns.mk_predT T --> mk_rpredT T + in + Const (@{const_name "RPred.lift_pred"}, lift_predT) $ t + end; + +val compfuns = CompilationFuns {mk_predT = mk_rpredT, dest_predT = dest_rpredT, mk_bot = mk_bot, + mk_single = mk_single, mk_bind = mk_bind, mk_sup = mk_sup, mk_if = mk_if, mk_not = mk_not, + mk_map = mk_map, lift_pred = lift_pred}; + +end; +(* for external use with interactive mode *) +val pred_compfuns = PredicateCompFuns.compfuns +val rpred_compfuns = RPredCompFuns.compfuns; + +fun lift_random random = + let + val T = dest_randomT (fastype_of random) + in + Const (@{const_name lift_random}, (@{typ Random.seed} --> + HOLogic.mk_prodT (HOLogic.mk_prodT (T, @{typ "unit => term"}), @{typ Random.seed})) --> + RPredCompFuns.mk_rpredT T) $ random + end; + +fun sizelim_funT_of compfuns (iss, is) T = + let + val Ts = binder_types T + val (paramTs, (inargTs, outargTs)) = split_modeT (iss, is) Ts + val paramTs' = map2 (fn SOME is => sizelim_funT_of PredicateCompFuns.compfuns ([], is) | NONE => I) iss paramTs + in + (paramTs' @ inargTs @ [@{typ "code_numeral"}]) ---> (mk_predT compfuns (mk_tupleT outargTs)) + end; + +fun mk_sizelim_fun_of compfuns thy (name, T) mode = + Const (sizelim_function_name_of thy name mode, sizelim_funT_of compfuns mode T) + +fun mk_generator_of compfuns thy (name, T) mode = + Const (generator_name_of thy name mode, sizelim_funT_of compfuns mode T) + +(* Mode analysis *) + +(*** check if a term contains only constructor functions ***) +fun is_constrt thy = + let + val cnstrs = flat (maps + (map (fn (_, (Tname, _, cs)) => map (apsnd (rpair Tname o length)) cs) o #descr o snd) + (Symtab.dest (Datatype.get_all thy))); + fun check t = (case strip_comb t of + (Free _, []) => true + | (Const (s, T), ts) => (case (AList.lookup (op =) cnstrs s, body_type T) of + (SOME (i, Tname), Type (Tname', _)) => length ts = i andalso Tname = Tname' andalso forall check ts + | _ => false) + | _ => false) + in check end; + +(*** check if a type is an equality type (i.e. doesn't contain fun) + FIXME this is only an approximation ***) +fun is_eqT (Type (s, Ts)) = s <> "fun" andalso forall is_eqT Ts + | is_eqT _ = true; + +fun term_vs tm = fold_aterms (fn Free (x, T) => cons x | _ => I) tm []; +val terms_vs = distinct (op =) o maps term_vs; + +(** collect all Frees in a term (with duplicates!) **) +fun term_vTs tm = + fold_aterms (fn Free xT => cons xT | _ => I) tm []; + +(*FIXME this function should not be named merge... make it local instead*) +fun merge xs [] = xs + | merge [] ys = ys + | merge (x::xs) (y::ys) = if length x >= length y then x::merge xs (y::ys) + else y::merge (x::xs) ys; + +fun subsets i j = if i <= j then + let val is = subsets (i+1) j + in merge (map (fn ks => i::ks) is) is end + else [[]]; + +(* FIXME: should be in library - cprod = map_prod I *) +fun cprod ([], ys) = [] + | cprod (x :: xs, ys) = map (pair x) ys @ cprod (xs, ys); + +fun cprods xss = foldr (map op :: o cprod) [[]] xss; + +fun cprods_subset [] = [[]] + | cprods_subset (xs :: xss) = + let + val yss = (cprods_subset xss) + in maps (fn ys => map (fn x => cons x ys) xs) yss @ yss end + +(*TODO: cleanup function and put together with modes_of_term *) +(* +fun modes_of_param default modes t = let + val (vs, t') = strip_abs t + val b = length vs + fun mk_modes name args = Option.map (maps (fn (m as (iss, is)) => + let + val (args1, args2) = + if length args < length iss then + error ("Too few arguments for inductive predicate " ^ name) + else chop (length iss) args; + val k = length args2; + val perm = map (fn i => (find_index_eq (Bound (b - i)) args2) + 1) + (1 upto b) + val partial_mode = (1 upto k) \\ perm + in + if not (partial_mode subset is) then [] else + let + val is' = + (fold_index (fn (i, j) => if j mem is then cons (i + 1) else I) perm []) + |> fold (fn i => if i > k then cons (i - k + b) else I) is + + val res = map (fn x => Mode (m, is', x)) (cprods (map + (fn (NONE, _) => [NONE] + | (SOME js, arg) => map SOME (filter + (fn Mode (_, js', _) => js=js') (modes_of_term modes arg))) + (iss ~~ args1))) + in res end + end)) (AList.lookup op = modes name) + in case strip_comb t' of + (Const (name, _), args) => the_default default (mk_modes name args) + | (Var ((name, _), _), args) => the (mk_modes name args) + | (Free (name, _), args) => the (mk_modes name args) + | _ => default end + +and +*) +fun modes_of_term modes t = + let + val ks = map_index (fn (i, T) => (i, NONE)) (binder_types (fastype_of t)); + val default = [Mode (([], ks), ks, [])]; + fun mk_modes name args = Option.map (maps (fn (m as (iss, is)) => + let + val (args1, args2) = + if length args < length iss then + error ("Too few arguments for inductive predicate " ^ name) + else chop (length iss) args; + val k = length args2; + val prfx = map (rpair NONE) (1 upto k) + in + if not (is_prefix op = prfx is) then [] else + let val is' = List.drop (is, k) + in map (fn x => Mode (m, is', x)) (cprods (map + (fn (NONE, _) => [NONE] + | (SOME js, arg) => map SOME (filter + (fn Mode (_, js', _) => js=js') (modes_of_term modes arg))) + (iss ~~ args1))) + end + end)) (AList.lookup op = modes name) + + in + case strip_comb (Envir.eta_contract t) of + (Const (name, _), args) => the_default default (mk_modes name args) + | (Var ((name, _), _), args) => the (mk_modes name args) + | (Free (name, _), args) => the (mk_modes name args) + | (Abs _, []) => error "Abs at param position" (* modes_of_param default modes t *) + | _ => default + end + +fun select_mode_prem thy modes vs ps = + find_first (is_some o snd) (ps ~~ map + (fn Prem (us, t) => find_first (fn Mode (_, is, _) => + let + val (in_ts, out_ts) = split_smode is us; + val (out_ts', in_ts') = List.partition (is_constrt thy) out_ts; + val vTs = maps term_vTs out_ts'; + val dupTs = map snd (duplicates (op =) vTs) @ + List.mapPartial (AList.lookup (op =) vTs) vs; + in + terms_vs (in_ts @ in_ts') subset vs andalso + forall (is_eqT o fastype_of) in_ts' andalso + term_vs t subset vs andalso + forall is_eqT dupTs + end) + (modes_of_term modes t handle Option => + error ("Bad predicate: " ^ Syntax.string_of_term_global thy t)) + | Negprem (us, t) => find_first (fn Mode (_, is, _) => + length us = length is andalso + terms_vs us subset vs andalso + term_vs t subset vs) + (modes_of_term modes t handle Option => + error ("Bad predicate: " ^ Syntax.string_of_term_global thy t)) + | Sidecond t => if term_vs t subset vs then SOME (Mode (([], []), [], [])) + else NONE + ) ps); + +fun fold_prem f (Prem (args, _)) = fold f args + | fold_prem f (Negprem (args, _)) = fold f args + | fold_prem f (Sidecond t) = f t + +fun all_subsets [] = [[]] + | all_subsets (x::xs) = let val xss' = all_subsets xs in xss' @ (map (cons x) xss') end + +fun generator vTs v = + let + val T = the (AList.lookup (op =) vTs v) + in + (Generator (v, T), Mode (([], []), [], [])) + end; + +fun gen_prem (Prem (us, t)) = GeneratorPrem (us, t) + | gen_prem (Negprem (us, t)) = error "it is a negated prem" + | gen_prem (Sidecond t) = error "it is a sidecond" + | gen_prem _ = error "gen_prem : invalid input for gen_prem" + +fun param_gen_prem param_vs (p as Prem (us, t as Free (v, _))) = + if member (op =) param_vs v then + GeneratorPrem (us, t) + else p + | param_gen_prem param_vs p = p + +fun check_mode_clause with_generator thy param_vs modes gen_modes (iss, is) (ts, ps) = + let + (* + val _ = Output.tracing ("param_vs:" ^ commas param_vs) + val _ = Output.tracing ("iss:" ^ + commas (map (fn is => case is of SOME is => string_of_smode is | NONE => "NONE") iss)) + *) + val modes' = modes @ List.mapPartial + (fn (_, NONE) => NONE | (v, SOME js) => SOME (v, [([], js)])) + (param_vs ~~ iss); + val gen_modes' = gen_modes @ List.mapPartial + (fn (_, NONE) => NONE | (v, SOME js) => SOME (v, [([], js)])) + (param_vs ~~ iss); + val vTs = distinct (op =) ((fold o fold_prem) Term.add_frees ps (fold Term.add_frees ts [])) + val prem_vs = distinct (op =) ((fold o fold_prem) Term.add_free_names ps []) + fun check_mode_prems acc_ps vs [] = SOME (acc_ps, vs) + | check_mode_prems acc_ps vs ps = (case select_mode_prem thy modes' vs ps of + NONE => + (if with_generator then + (case select_mode_prem thy gen_modes' vs ps of + SOME (p as Prem _, SOME mode) => check_mode_prems ((gen_prem p, mode) :: acc_ps) + (case p of Prem (us, _) => vs union terms_vs us | _ => vs) + (filter_out (equal p) ps) + | _ => + let + val all_generator_vs = all_subsets (prem_vs \\ vs) |> sort (int_ord o (pairself length)) + in + case (find_first (fn generator_vs => is_some + (select_mode_prem thy modes' (vs union generator_vs) ps)) all_generator_vs) of + SOME generator_vs => check_mode_prems ((map (generator vTs) generator_vs) @ acc_ps) + (vs union generator_vs) ps + | NONE => let + val _ = Output.tracing ("ps:" ^ (commas + (map (fn p => string_of_moded_prem thy (p, Mode (([], []), [], []))) ps))) + in (*error "mode analysis failed"*)NONE end + end) + else + NONE) + | SOME (p, SOME mode) => check_mode_prems ((if with_generator then param_gen_prem param_vs p else p, mode) :: acc_ps) + (case p of Prem (us, _) => vs union terms_vs us | _ => vs) + (filter_out (equal p) ps)) + val (in_ts, in_ts') = List.partition (is_constrt thy) (fst (split_smode is ts)); + val in_vs = terms_vs in_ts; + val concl_vs = terms_vs ts + in + if forall is_eqT (map snd (duplicates (op =) (maps term_vTs in_ts))) andalso + forall (is_eqT o fastype_of) in_ts' then + case check_mode_prems [] (param_vs union in_vs) ps of + NONE => NONE + | SOME (acc_ps, vs) => + if with_generator then + SOME (ts, (rev acc_ps) @ (map (generator vTs) (concl_vs \\ vs))) + else + if concl_vs subset vs then SOME (ts, rev acc_ps) else NONE + else NONE + end; + +fun check_modes_pred with_generator thy param_vs clauses modes gen_modes (p, ms) = + let val SOME rs = AList.lookup (op =) clauses p + in (p, List.filter (fn m => case find_index + (is_none o check_mode_clause with_generator thy param_vs modes gen_modes m) rs of + ~1 => true + | i => (Output.tracing ("Clause " ^ string_of_int (i + 1) ^ " of " ^ + p ^ " violates mode " ^ string_of_mode m); + Output.tracing (commas (map (Syntax.string_of_term_global thy) (fst (nth rs i)))); false)) ms) + end; + +fun get_modes_pred with_generator thy param_vs clauses modes gen_modes (p, ms) = + let + val SOME rs = AList.lookup (op =) clauses p + in + (p, map (fn m => + (m, map (the o check_mode_clause with_generator thy param_vs modes gen_modes m) rs)) ms) + end; + +fun fixp f (x : (string * mode list) list) = + let val y = f x + in if x = y then x else fixp f y end; + +fun infer_modes thy extra_modes all_modes param_vs clauses = + let + val modes = + fixp (fn modes => + map (check_modes_pred false thy param_vs clauses (modes @ extra_modes) []) modes) + all_modes + in + map (get_modes_pred false thy param_vs clauses (modes @ extra_modes) []) modes + end; + +fun remove_from rem [] = [] + | remove_from rem ((k, vs) :: xs) = + (case AList.lookup (op =) rem k of + NONE => (k, vs) + | SOME vs' => (k, vs \\ vs')) + :: remove_from rem xs + +fun infer_modes_with_generator thy extra_modes all_modes param_vs clauses = + let + val prednames = map fst clauses + val extra_modes = all_modes_of thy + val gen_modes = all_generator_modes_of thy + |> filter_out (fn (name, _) => member (op =) prednames name) + val starting_modes = remove_from extra_modes all_modes + val modes = + fixp (fn modes => + map (check_modes_pred true thy param_vs clauses extra_modes (gen_modes @ modes)) modes) + starting_modes + in + map (get_modes_pred true thy param_vs clauses extra_modes (gen_modes @ modes)) modes + end; + +(* term construction *) + +fun mk_v (names, vs) s T = (case AList.lookup (op =) vs s of + NONE => (Free (s, T), (names, (s, [])::vs)) + | SOME xs => + let + val s' = Name.variant names s; + val v = Free (s', T) + in + (v, (s'::names, AList.update (op =) (s, v::xs) vs)) + end); + +fun distinct_v (Free (s, T)) nvs = mk_v nvs s T + | distinct_v (t $ u) nvs = + let + val (t', nvs') = distinct_v t nvs; + val (u', nvs'') = distinct_v u nvs'; + in (t' $ u', nvs'') end + | distinct_v x nvs = (x, nvs); + +fun compile_match thy compfuns eqs eqs' out_ts success_t = + let + val eqs'' = maps mk_eq eqs @ eqs' + val names = fold Term.add_free_names (success_t :: eqs'' @ out_ts) []; + val name = Name.variant names "x"; + val name' = Name.variant (name :: names) "y"; + val T = mk_tupleT (map fastype_of out_ts); + val U = fastype_of success_t; + val U' = dest_predT compfuns U; + val v = Free (name, T); + val v' = Free (name', T); + in + lambda v (fst (Datatype.make_case + (ProofContext.init thy) DatatypeCase.Quiet [] v + [(mk_tuple out_ts, + if null eqs'' then success_t + else Const (@{const_name HOL.If}, HOLogic.boolT --> U --> U --> U) $ + foldr1 HOLogic.mk_conj eqs'' $ success_t $ + mk_bot compfuns U'), + (v', mk_bot compfuns U')])) + end; + +(*FIXME function can be removed*) +fun mk_funcomp f t = + let + val names = Term.add_free_names t []; + val Ts = binder_types (fastype_of t); + val vs = map Free + (Name.variant_list names (replicate (length Ts) "x") ~~ Ts) + in + fold_rev lambda vs (f (list_comb (t, vs))) + end; +(* +fun compile_param_ext thy compfuns modes (NONE, t) = t + | compile_param_ext thy compfuns modes (m as SOME (Mode ((iss, is'), is, ms)), t) = + let + val (vs, u) = strip_abs t + val (ivs, ovs) = split_mode is vs + val (f, args) = strip_comb u + val (params, args') = chop (length ms) args + val (inargs, outargs) = split_mode is' args' + val b = length vs + val perm = map (fn i => (find_index_eq (Bound (b - i)) args') + 1) (1 upto b) + val outp_perm = + snd (split_mode is perm) + |> map (fn i => i - length (filter (fn x => x < i) is')) + val names = [] -- TODO + val out_names = Name.variant_list names (replicate (length outargs) "x") + val f' = case f of + Const (name, T) => + if AList.defined op = modes name then + mk_predfun_of thy compfuns (name, T) (iss, is') + else error "compile param: Not an inductive predicate with correct mode" + | Free (name, T) => Free (name, param_funT_of compfuns T (SOME is')) + val outTs = dest_tupleT (dest_predT compfuns (body_type (fastype_of f'))) + val out_vs = map Free (out_names ~~ outTs) + val params' = map (compile_param thy modes) (ms ~~ params) + val f_app = list_comb (f', params' @ inargs) + val single_t = (mk_single compfuns (mk_tuple (map (fn i => nth out_vs (i - 1)) outp_perm))) + val match_t = compile_match thy compfuns [] [] out_vs single_t + in list_abs (ivs, + mk_bind compfuns (f_app, match_t)) + end + | compile_param_ext _ _ _ _ = error "compile params" +*) + +fun compile_param neg_in_sizelim size thy compfuns (NONE, t) = t + | compile_param neg_in_sizelim size thy compfuns (m as SOME (Mode ((iss, is'), is, ms)), t) = + let + val (f, args) = strip_comb (Envir.eta_contract t) + val (params, args') = chop (length ms) args + val params' = map (compile_param neg_in_sizelim size thy compfuns) (ms ~~ params) + val mk_fun_of = case size of NONE => mk_fun_of | SOME _ => mk_sizelim_fun_of + val funT_of = case size of NONE => funT_of | SOME _ => sizelim_funT_of + val f' = + case f of + Const (name, T) => + mk_fun_of compfuns thy (name, T) (iss, is') + | Free (name, T) => + case neg_in_sizelim of + SOME _ => Free (name, sizelim_funT_of compfuns (iss, is') T) + | NONE => Free (name, funT_of compfuns (iss, is') T) + + | _ => error ("PredicateCompiler: illegal parameter term") + in + (case neg_in_sizelim of SOME size_t => + (fn t => + let + val Ts = fst (split_last (binder_types (fastype_of t))) + val names = map (fn i => "x" ^ string_of_int i) (1 upto length Ts) + in + list_abs (names ~~ Ts, list_comb (t, (map Bound ((length Ts) - 1 downto 0)) @ [size_t])) + end) + | NONE => I) + (list_comb (f', params' @ args')) + end + +fun compile_expr neg_in_sizelim size thy ((Mode (mode, is, ms)), t) = + case strip_comb t of + (Const (name, T), params) => + let + val params' = map (compile_param neg_in_sizelim size thy PredicateCompFuns.compfuns) (ms ~~ params) + val mk_fun_of = case size of NONE => mk_fun_of | SOME _ => mk_sizelim_fun_of + in + list_comb (mk_fun_of PredicateCompFuns.compfuns thy (name, T) mode, params') + end + | (Free (name, T), args) => + let + val funT_of = case size of NONE => funT_of | SOME _ => sizelim_funT_of + in + list_comb (Free (name, funT_of PredicateCompFuns.compfuns ([], is) T), args) + end; + +fun compile_gen_expr size thy compfuns ((Mode (mode, is, ms)), t) inargs = + case strip_comb t of + (Const (name, T), params) => + let + val params' = map (compile_param NONE size thy PredicateCompFuns.compfuns) (ms ~~ params) + in + list_comb (mk_generator_of compfuns thy (name, T) mode, params' @ inargs) + end + | (Free (name, T), params) => + lift_pred compfuns + (list_comb (Free (name, sizelim_funT_of PredicateCompFuns.compfuns ([], is) T), params @ inargs)) + + +(** specific rpred functions -- move them to the correct place in this file *) + +fun mk_Eval_of size ((x, T), NONE) names = (x, names) + | mk_Eval_of size ((x, T), SOME mode) names = + let + val Ts = binder_types T + (*val argnames = Name.variant_list names + (map (fn i => "x" ^ string_of_int i) (1 upto (length Ts))); + val args = map Free (argnames ~~ Ts) + val (inargs, outargs) = split_smode mode args*) + fun mk_split_lambda [] t = lambda (Free (Name.variant names "x", HOLogic.unitT)) t + | mk_split_lambda [x] t = lambda x t + | mk_split_lambda xs t = + let + fun mk_split_lambda' (x::y::[]) t = HOLogic.mk_split (lambda x (lambda y t)) + | mk_split_lambda' (x::xs) t = HOLogic.mk_split (lambda x (mk_split_lambda' xs t)) + in + mk_split_lambda' xs t + end; + fun mk_arg (i, T) = + let + val vname = Name.variant names ("x" ^ string_of_int i) + val default = Free (vname, T) + in + case AList.lookup (op =) mode i of + NONE => (([], [default]), [default]) + | SOME NONE => (([default], []), [default]) + | SOME (SOME pis) => + case HOLogic.strip_tupleT T of + [] => error "pair mode but unit tuple" (*(([default], []), [default])*) + | [_] => error "pair mode but not a tuple" (*(([default], []), [default])*) + | Ts => + let + val vnames = Name.variant_list names + (map (fn j => "x" ^ string_of_int i ^ "p" ^ string_of_int j) + (1 upto length Ts)) + val args = map Free (vnames ~~ Ts) + fun split_args (i, arg) (ins, outs) = + if member (op =) pis i then + (arg::ins, outs) + else + (ins, arg::outs) + val (inargs, outargs) = fold_rev split_args ((1 upto length Ts) ~~ args) ([], []) + fun tuple args = if null args then [] else [HOLogic.mk_tuple args] + in ((tuple inargs, tuple outargs), args) end + end + val (inoutargs, args) = split_list (map mk_arg (1 upto (length Ts) ~~ Ts)) + val (inargs, outargs) = pairself flat (split_list inoutargs) + val size_t = case size of NONE => [] | SOME size_t => [size_t] + val r = PredicateCompFuns.mk_Eval (list_comb (x, inargs @ size_t), mk_tuple outargs) + val t = fold_rev mk_split_lambda args r + in + (t, names) + end; + +fun compile_arg size thy param_vs iss arg = + let + val funT_of = case size of NONE => funT_of | SOME _ => sizelim_funT_of + fun map_params (t as Free (f, T)) = + if member (op =) param_vs f then + case (the (AList.lookup (op =) (param_vs ~~ iss) f)) of + SOME is => let val T' = funT_of PredicateCompFuns.compfuns ([], is) T + in fst (mk_Eval_of size ((Free (f, T'), T), SOME is) []) end + | NONE => t + else t + | map_params t = t + in map_aterms map_params arg end + +fun compile_clause compfuns size final_term thy all_vs param_vs (iss, is) inp (ts, moded_ps) = + let + fun check_constrt t (names, eqs) = + if is_constrt thy t then (t, (names, eqs)) else + let + val s = Name.variant names "x"; + val v = Free (s, fastype_of t) + in (v, (s::names, HOLogic.mk_eq (v, t)::eqs)) end; + + val (in_ts, out_ts) = split_smode is ts; + val (in_ts', (all_vs', eqs)) = + fold_map check_constrt in_ts (all_vs, []); + + fun compile_prems out_ts' vs names [] = + let + val (out_ts'', (names', eqs')) = + fold_map check_constrt out_ts' (names, []); + val (out_ts''', (names'', constr_vs)) = fold_map distinct_v + out_ts'' (names', map (rpair []) vs); + in + (* termify code: + compile_match thy compfuns constr_vs (eqs @ eqs') out_ts''' + (mk_single compfuns (mk_tuple (map mk_valtermify_term out_ts))) + *) + compile_match thy compfuns constr_vs (eqs @ eqs') out_ts''' + (final_term out_ts) + end + | compile_prems out_ts vs names ((p, mode as Mode ((_, is), _, _)) :: ps) = + let + val vs' = distinct (op =) (flat (vs :: map term_vs out_ts)); + val (out_ts', (names', eqs)) = + fold_map check_constrt out_ts (names, []) + val (out_ts'', (names'', constr_vs')) = fold_map distinct_v + out_ts' ((names', map (rpair []) vs)) + val (compiled_clause, rest) = case p of + Prem (us, t) => + let + val (in_ts, out_ts''') = split_smode is us; + val in_ts = map (compile_arg size thy param_vs iss) in_ts + val args = case size of + NONE => in_ts + | SOME size_t => in_ts @ [size_t] + val u = lift_pred compfuns + (list_comb (compile_expr NONE size thy (mode, t), args)) + val rest = compile_prems out_ts''' vs' names'' ps + in + (u, rest) + end + | Negprem (us, t) => + let + val (in_ts, out_ts''') = split_smode is us + val u = lift_pred compfuns + (mk_not PredicateCompFuns.compfuns (list_comb (compile_expr size NONE thy (mode, t), in_ts))) + val rest = compile_prems out_ts''' vs' names'' ps + in + (u, rest) + end + | Sidecond t => + let + val rest = compile_prems [] vs' names'' ps; + in + (mk_if compfuns t, rest) + end + | GeneratorPrem (us, t) => + let + val (in_ts, out_ts''') = split_smode is us; + val args = case size of + NONE => in_ts + | SOME size_t => in_ts @ [size_t] + val u = compile_gen_expr size thy compfuns (mode, t) args + val rest = compile_prems out_ts''' vs' names'' ps + in + (u, rest) + end + | Generator (v, T) => + let + val u = lift_random (HOLogic.mk_random T (the size)) + val rest = compile_prems [Free (v, T)] vs' names'' ps; + in + (u, rest) + end + in + compile_match thy compfuns constr_vs' eqs out_ts'' + (mk_bind compfuns (compiled_clause, rest)) + end + val prem_t = compile_prems in_ts' param_vs all_vs' moded_ps; + in + mk_bind compfuns (mk_single compfuns inp, prem_t) + end + +fun compile_pred compfuns mk_fun_of use_size thy all_vs param_vs s T mode moded_cls = + let + val (Ts1, Ts2) = chop (length (fst mode)) (binder_types T) + val (Us1, Us2) = split_smodeT (snd mode) Ts2 + val funT_of = if use_size then sizelim_funT_of else funT_of + val Ts1' = map2 (fn NONE => I | SOME is => funT_of PredicateCompFuns.compfuns ([], is)) (fst mode) Ts1 + val size_name = Name.variant (all_vs @ param_vs) "size" + fun mk_input_term (i, NONE) = + [Free (Name.variant (all_vs @ param_vs) ("x" ^ string_of_int i), nth Ts2 (i - 1))] + | mk_input_term (i, SOME pis) = case HOLogic.strip_tupleT (nth Ts2 (i - 1)) of + [] => error "strange unit input" + | [T] => [Free (Name.variant (all_vs @ param_vs) ("x" ^ string_of_int i), nth Ts2 (i - 1))] + | Ts => let + val vnames = Name.variant_list (all_vs @ param_vs) + (map (fn j => "x" ^ string_of_int i ^ "p" ^ string_of_int j) + pis) + in if null pis then [] + else [HOLogic.mk_tuple (map Free (vnames ~~ map (fn j => nth Ts (j - 1)) pis))] end + val in_ts = maps mk_input_term (snd mode) + val params = map2 (fn s => fn T => Free (s, T)) param_vs Ts1' + val size = Free (size_name, @{typ "code_numeral"}) + val decr_size = + if use_size then + SOME (Const ("HOL.minus_class.minus", @{typ "code_numeral => code_numeral => code_numeral"}) + $ size $ Const ("HOL.one_class.one", @{typ "Code_Numeral.code_numeral"})) + else + NONE + val cl_ts = + map (compile_clause compfuns decr_size (fn out_ts => mk_single compfuns (mk_tuple out_ts)) + thy all_vs param_vs mode (mk_tuple in_ts)) moded_cls; + val t = foldr1 (mk_sup compfuns) cl_ts + val T' = mk_predT compfuns (mk_tupleT Us2) + val size_t = Const (@{const_name "If"}, @{typ bool} --> T' --> T' --> T') + $ HOLogic.mk_eq (size, @{term "0 :: code_numeral"}) + $ mk_bot compfuns (dest_predT compfuns T') $ t + val fun_const = mk_fun_of compfuns thy (s, T) mode + val eq = if use_size then + (list_comb (fun_const, params @ in_ts @ [size]), size_t) + else + (list_comb (fun_const, params @ in_ts), t) + in + HOLogic.mk_Trueprop (HOLogic.mk_eq eq) + end; + +(* special setup for simpset *) +val HOL_basic_ss' = HOL_basic_ss addsimps (@{thms "HOL.simp_thms"} @ [@{thm Pair_eq}]) + setSolver (mk_solver "all_tac_solver" (fn _ => fn _ => all_tac)) + setSolver (mk_solver "True_solver" (fn _ => rtac @{thm TrueI})) + +(* Definition of executable functions and their intro and elim rules *) + +fun print_arities arities = tracing ("Arities:\n" ^ + cat_lines (map (fn (s, (ks, k)) => s ^ ": " ^ + space_implode " -> " (map + (fn NONE => "X" | SOME k' => string_of_int k') + (ks @ [SOME k]))) arities)); + +fun create_intro_elim_rule (mode as (iss, is)) defthm mode_id funT pred thy = +let + val Ts = binder_types (fastype_of pred) + val funtrm = Const (mode_id, funT) + val (Ts1, Ts2) = chop (length iss) Ts; + val Ts1' = map2 (fn NONE => I | SOME is => funT_of (PredicateCompFuns.compfuns) ([], is)) iss Ts1 + val param_names = Name.variant_list [] + (map (fn i => "x" ^ string_of_int i) (1 upto (length Ts1))); + val params = map Free (param_names ~~ Ts1') + fun mk_args (i, T) argnames = + let + val vname = Name.variant (param_names @ argnames) ("x" ^ string_of_int (length Ts1' + i)) + val default = (Free (vname, T), vname :: argnames) + in + case AList.lookup (op =) is i of + NONE => default + | SOME NONE => default + | SOME (SOME pis) => + case HOLogic.strip_tupleT T of + [] => default + | [_] => default + | Ts => + let + val vnames = Name.variant_list (param_names @ argnames) + (map (fn j => "x" ^ string_of_int (length Ts1' + i) ^ "p" ^ string_of_int j) + (1 upto (length Ts))) + in (HOLogic.mk_tuple (map Free (vnames ~~ Ts)), vnames @ argnames) end + end + val (args, argnames) = fold_map mk_args (1 upto (length Ts2) ~~ Ts2) [] + val (inargs, outargs) = split_smode is args + val param_names' = Name.variant_list (param_names @ argnames) + (map (fn i => "p" ^ string_of_int i) (1 upto (length iss))) + val param_vs = map Free (param_names' ~~ Ts1) + val (params', names) = fold_map (mk_Eval_of NONE) ((params ~~ Ts1) ~~ iss) [] + val predpropI = HOLogic.mk_Trueprop (list_comb (pred, param_vs @ args)) + val predpropE = HOLogic.mk_Trueprop (list_comb (pred, params' @ args)) + val param_eqs = map (HOLogic.mk_Trueprop o HOLogic.mk_eq) (param_vs ~~ params') + val funargs = params @ inargs + val funpropE = HOLogic.mk_Trueprop (PredicateCompFuns.mk_Eval (list_comb (funtrm, funargs), + if null outargs then Free("y", HOLogic.unitT) else mk_tuple outargs)) + val funpropI = HOLogic.mk_Trueprop (PredicateCompFuns.mk_Eval (list_comb (funtrm, funargs), + mk_tuple outargs)) + val introtrm = Logic.list_implies (predpropI :: param_eqs, funpropI) + val simprules = [defthm, @{thm eval_pred}, + @{thm "split_beta"}, @{thm "fst_conv"}, @{thm "snd_conv"}, @{thm pair_collapse}] + val unfolddef_tac = Simplifier.asm_full_simp_tac (HOL_basic_ss addsimps simprules) 1 + val introthm = Goal.prove (ProofContext.init thy) (argnames @ param_names @ param_names' @ ["y"]) [] introtrm (fn {...} => unfolddef_tac) + val P = HOLogic.mk_Trueprop (Free ("P", HOLogic.boolT)); + val elimtrm = Logic.list_implies ([funpropE, Logic.mk_implies (predpropE, P)], P) + val elimthm = Goal.prove (ProofContext.init thy) (argnames @ param_names @ param_names' @ ["y", "P"]) [] elimtrm (fn {...} => unfolddef_tac) +in + (introthm, elimthm) +end; + +fun create_constname_of_mode thy prefix name mode = + let + fun string_of_mode mode = if null mode then "0" + else space_implode "_" (map (fn (i, NONE) => string_of_int i | (i, SOME pis) => string_of_int i ^ "p" + ^ space_implode "p" (map string_of_int pis)) mode) + val HOmode = space_implode "_and_" + (fold (fn NONE => I | SOME mode => cons (string_of_mode mode)) (fst mode) []) + in + (Sign.full_bname thy (prefix ^ (Long_Name.base_name name))) ^ + (if HOmode = "" then "_" else "_for_" ^ HOmode ^ "_yields_") ^ (string_of_mode (snd mode)) + end; + +fun split_tupleT is T = + let + fun split_tuple' _ _ [] = ([], []) + | split_tuple' is i (T::Ts) = + (if i mem is then apfst else apsnd) (cons T) + (split_tuple' is (i+1) Ts) + in + split_tuple' is 1 (HOLogic.strip_tupleT T) + end + +fun mk_arg xin xout pis T = + let + val n = length (HOLogic.strip_tupleT T) + val ni = length pis + fun mk_proj i j t = + (if i = j then I else HOLogic.mk_fst) + (funpow (i - 1) HOLogic.mk_snd t) + fun mk_arg' i (si, so) = if i mem pis then + (mk_proj si ni xin, (si+1, so)) + else + (mk_proj so (n - ni) xout, (si, so+1)) + val (args, _) = fold_map mk_arg' (1 upto n) (1, 1) + in + HOLogic.mk_tuple args + end + +fun create_definitions preds (name, modes) thy = + let + val compfuns = PredicateCompFuns.compfuns + val T = AList.lookup (op =) preds name |> the + fun create_definition (mode as (iss, is)) thy = let + val mode_cname = create_constname_of_mode thy "" name mode + val mode_cbasename = Long_Name.base_name mode_cname + val Ts = binder_types T + val (Ts1, Ts2) = chop (length iss) Ts + val (Us1, Us2) = split_smodeT is Ts2 + val Ts1' = map2 (fn NONE => I | SOME is => funT_of compfuns ([], is)) iss Ts1 + val funT = (Ts1' @ Us1) ---> (mk_predT compfuns (mk_tupleT Us2)) + val names = Name.variant_list [] + (map (fn i => "x" ^ string_of_int i) (1 upto (length Ts))); + (* old *) + (* + val xs = map Free (names ~~ (Ts1' @ Ts2)) + val (xparams, xargs) = chop (length iss) xs + val (xins, xouts) = split_smode is xargs + *) + (* new *) + val param_names = Name.variant_list [] + (map (fn i => "x" ^ string_of_int i) (1 upto (length Ts1'))) + val xparams = map Free (param_names ~~ Ts1') + fun mk_vars (i, T) names = + let + val vname = Name.variant names ("x" ^ string_of_int (length Ts1' + i)) + in + case AList.lookup (op =) is i of + NONE => ((([], [Free (vname, T)]), Free (vname, T)), vname :: names) + | SOME NONE => ((([Free (vname, T)], []), Free (vname, T)), vname :: names) + | SOME (SOME pis) => + let + val (Tins, Touts) = split_tupleT pis T + val name_in = Name.variant names ("x" ^ string_of_int (length Ts1' + i) ^ "in") + val name_out = Name.variant names ("x" ^ string_of_int (length Ts1' + i) ^ "out") + val xin = Free (name_in, HOLogic.mk_tupleT Tins) + val xout = Free (name_out, HOLogic.mk_tupleT Touts) + val xarg = mk_arg xin xout pis T + in (((if null Tins then [] else [xin], if null Touts then [] else [xout]), xarg), name_in :: name_out :: names) end + end + val (xinoutargs, names) = fold_map mk_vars ((1 upto (length Ts2)) ~~ Ts2) param_names + val (xinout, xargs) = split_list xinoutargs + val (xins, xouts) = pairself flat (split_list xinout) + val (xparams', names') = fold_map (mk_Eval_of NONE) ((xparams ~~ Ts1) ~~ iss) names + fun mk_split_lambda [] t = lambda (Free (Name.variant names' "x", HOLogic.unitT)) t + | mk_split_lambda [x] t = lambda x t + | mk_split_lambda xs t = + let + fun mk_split_lambda' (x::y::[]) t = HOLogic.mk_split (lambda x (lambda y t)) + | mk_split_lambda' (x::xs) t = HOLogic.mk_split (lambda x (mk_split_lambda' xs t)) + in + mk_split_lambda' xs t + end; + val predterm = PredicateCompFuns.mk_Enum (mk_split_lambda xouts + (list_comb (Const (name, T), xparams' @ xargs))) + val lhs = list_comb (Const (mode_cname, funT), xparams @ xins) + val def = Logic.mk_equals (lhs, predterm) + val ([definition], thy') = thy |> + Sign.add_consts_i [(Binding.name mode_cbasename, funT, NoSyn)] |> + PureThy.add_defs false [((Binding.name (mode_cbasename ^ "_def"), def), [])] + val (intro, elim) = + create_intro_elim_rule mode definition mode_cname funT (Const (name, T)) thy' + in thy' + |> add_predfun name mode (mode_cname, definition, intro, elim) + |> PureThy.store_thm (Binding.name (mode_cbasename ^ "I"), intro) |> snd + |> PureThy.store_thm (Binding.name (mode_cbasename ^ "E"), elim) |> snd + |> Theory.checkpoint + end; + in + fold create_definition modes thy + end; + +fun sizelim_create_definitions preds (name, modes) thy = + let + val T = AList.lookup (op =) preds name |> the + fun create_definition mode thy = + let + val mode_cname = create_constname_of_mode thy "sizelim_" name mode + val funT = sizelim_funT_of PredicateCompFuns.compfuns mode T + in + thy |> Sign.add_consts_i [(Binding.name (Long_Name.base_name mode_cname), funT, NoSyn)] + |> set_sizelim_function_name name mode mode_cname + end; + in + fold create_definition modes thy + end; + +fun generator_funT_of (iss, is) T = + let + val Ts = binder_types T + val (paramTs, (inargTs, outargTs)) = split_modeT (iss, is) Ts + val paramTs' = map2 (fn SOME is => sizelim_funT_of PredicateCompFuns.compfuns ([], is) | NONE => I) iss paramTs + in + (paramTs' @ inargTs @ [@{typ "code_numeral"}]) ---> (mk_predT RPredCompFuns.compfuns (mk_tupleT outargTs)) + end + +fun rpred_create_definitions preds (name, modes) thy = + let + val T = AList.lookup (op =) preds name |> the + fun create_definition mode thy = + let + val mode_cname = create_constname_of_mode thy "gen_" name mode + val funT = generator_funT_of mode T + in + thy |> Sign.add_consts_i [(Binding.name (Long_Name.base_name mode_cname), funT, NoSyn)] + |> set_generator_name name mode mode_cname + end; + in + fold create_definition modes thy + end; + +(* Proving equivalence of term *) + +fun is_Type (Type _) = true + | is_Type _ = false + +(* returns true if t is an application of an datatype constructor *) +(* which then consequently would be splitted *) +(* else false *) +fun is_constructor thy t = + if (is_Type (fastype_of t)) then + (case Datatype.get_info thy ((fst o dest_Type o fastype_of) t) of + NONE => false + | SOME info => (let + val constr_consts = maps (fn (_, (_, _, constrs)) => map fst constrs) (#descr info) + val (c, _) = strip_comb t + in (case c of + Const (name, _) => name mem_string constr_consts + | _ => false) end)) + else false + +(* MAJOR FIXME: prove_params should be simple + - different form of introrule for parameters ? *) +fun prove_param thy (NONE, t) = TRY (rtac @{thm refl} 1) + | prove_param thy (m as SOME (Mode (mode, is, ms)), t) = + let + val (f, args) = strip_comb (Envir.eta_contract t) + val (params, _) = chop (length ms) args + val f_tac = case f of + Const (name, T) => simp_tac (HOL_basic_ss addsimps + ([@{thm eval_pred}, (predfun_definition_of thy name mode), + @{thm "split_eta"}, @{thm "split_beta"}, @{thm "fst_conv"}, + @{thm "snd_conv"}, @{thm pair_collapse}, @{thm "Product_Type.split_conv"}])) 1 + | Free _ => TRY (rtac @{thm refl} 1) + | Abs _ => error "prove_param: No valid parameter term" + in + REPEAT_DETERM (etac @{thm thin_rl} 1) + THEN REPEAT_DETERM (rtac @{thm ext} 1) + THEN print_tac "prove_param" + THEN f_tac + THEN print_tac "after simplification in prove_args" + THEN (EVERY (map (prove_param thy) (ms ~~ params))) + THEN (REPEAT_DETERM (atac 1)) + end + +fun prove_expr thy (Mode (mode, is, ms), t, us) (premposition : int) = + case strip_comb t of + (Const (name, T), args) => + let + val introrule = predfun_intro_of thy name mode + val (args1, args2) = chop (length ms) args + in + rtac @{thm bindI} 1 + THEN print_tac "before intro rule:" + (* for the right assumption in first position *) + THEN rotate_tac premposition 1 + THEN debug_tac (Display.string_of_thm (ProofContext.init thy) introrule) + THEN rtac introrule 1 + THEN print_tac "after intro rule" + (* work with parameter arguments *) + THEN (atac 1) + THEN (print_tac "parameter goal") + THEN (EVERY (map (prove_param thy) (ms ~~ args1))) + THEN (REPEAT_DETERM (atac 1)) + end + | _ => rtac @{thm bindI} 1 + THEN asm_full_simp_tac + (HOL_basic_ss' addsimps [@{thm "split_eta"}, @{thm "split_beta"}, @{thm "fst_conv"}, + @{thm "snd_conv"}, @{thm pair_collapse}]) 1 + THEN (atac 1) + THEN print_tac "after prove parameter call" + + +fun SOLVED tac st = FILTER (fn st' => nprems_of st' = nprems_of st - 1) tac st; + +fun SOLVEDALL tac st = FILTER (fn st' => nprems_of st' = 0) tac st + +fun prove_match thy (out_ts : term list) = let + fun get_case_rewrite t = + if (is_constructor thy t) then let + val case_rewrites = (#case_rewrites (Datatype.the_info thy + ((fst o dest_Type o fastype_of) t))) + in case_rewrites @ (flat (map get_case_rewrite (snd (strip_comb t)))) end + else [] + val simprules = @{thm "unit.cases"} :: @{thm "prod.cases"} :: (flat (map get_case_rewrite out_ts)) +(* replace TRY by determining if it necessary - are there equations when calling compile match? *) +in + (* make this simpset better! *) + asm_full_simp_tac (HOL_basic_ss' addsimps simprules) 1 + THEN print_tac "after prove_match:" + THEN (DETERM (TRY (EqSubst.eqsubst_tac (ProofContext.init thy) [0] [@{thm "HOL.if_P"}] 1 + THEN (REPEAT_DETERM (rtac @{thm conjI} 1 THEN (SOLVED (asm_simp_tac HOL_basic_ss 1)))) + THEN (SOLVED (asm_simp_tac HOL_basic_ss 1))))) + THEN print_tac "after if simplification" +end; + +(* corresponds to compile_fun -- maybe call that also compile_sidecond? *) + +fun prove_sidecond thy modes t = + let + fun preds_of t nameTs = case strip_comb t of + (f as Const (name, T), args) => + if AList.defined (op =) modes name then (name, T) :: nameTs + else fold preds_of args nameTs + | _ => nameTs + val preds = preds_of t [] + val defs = map + (fn (pred, T) => predfun_definition_of thy pred + ([], map (rpair NONE) (1 upto (length (binder_types T))))) + preds + in + (* remove not_False_eq_True when simpset in prove_match is better *) + simp_tac (HOL_basic_ss addsimps + (@{thms "HOL.simp_thms"} @ (@{thm not_False_eq_True} :: @{thm eval_pred} :: defs))) 1 + (* need better control here! *) + end + +fun prove_clause thy nargs modes (iss, is) (_, clauses) (ts, moded_ps) = + let + val (in_ts, clause_out_ts) = split_smode is ts; + fun prove_prems out_ts [] = + (prove_match thy out_ts) + THEN print_tac "before simplifying assumptions" + THEN asm_full_simp_tac HOL_basic_ss' 1 + THEN print_tac "before single intro rule" + THEN (rtac (if null clause_out_ts then @{thm singleI_unit} else @{thm singleI}) 1) + | prove_prems out_ts ((p, mode as Mode ((iss, is), _, param_modes)) :: ps) = + let + val premposition = (find_index (equal p) clauses) + nargs + val rest_tac = (case p of Prem (us, t) => + let + val (_, out_ts''') = split_smode is us + val rec_tac = prove_prems out_ts''' ps + in + print_tac "before clause:" + THEN asm_simp_tac HOL_basic_ss 1 + THEN print_tac "before prove_expr:" + THEN prove_expr thy (mode, t, us) premposition + THEN print_tac "after prove_expr:" + THEN rec_tac + end + | Negprem (us, t) => + let + val (_, out_ts''') = split_smode is us + val rec_tac = prove_prems out_ts''' ps + val name = (case strip_comb t of (Const (c, _), _) => SOME c | _ => NONE) + val (_, params) = strip_comb t + in + rtac @{thm bindI} 1 + THEN (if (is_some name) then + simp_tac (HOL_basic_ss addsimps [predfun_definition_of thy (the name) (iss, is)]) 1 + THEN rtac @{thm not_predI} 1 + THEN simp_tac (HOL_basic_ss addsimps [@{thm not_False_eq_True}]) 1 + THEN (REPEAT_DETERM (atac 1)) + (* FIXME: work with parameter arguments *) + THEN (EVERY (map (prove_param thy) (param_modes ~~ params))) + else + rtac @{thm not_predI'} 1) + THEN simp_tac (HOL_basic_ss addsimps [@{thm not_False_eq_True}]) 1 + THEN rec_tac + end + | Sidecond t => + rtac @{thm bindI} 1 + THEN rtac @{thm if_predI} 1 + THEN print_tac "before sidecond:" + THEN prove_sidecond thy modes t + THEN print_tac "after sidecond:" + THEN prove_prems [] ps) + in (prove_match thy out_ts) + THEN rest_tac + end; + val prems_tac = prove_prems in_ts moded_ps + in + rtac @{thm bindI} 1 + THEN rtac @{thm singleI} 1 + THEN prems_tac + end; + +fun select_sup 1 1 = [] + | select_sup _ 1 = [rtac @{thm supI1}] + | select_sup n i = (rtac @{thm supI2})::(select_sup (n - 1) (i - 1)); + +fun prove_one_direction thy clauses preds modes pred mode moded_clauses = + let + val T = the (AList.lookup (op =) preds pred) + val nargs = length (binder_types T) - nparams_of thy pred + val pred_case_rule = the_elim_of thy pred + in + REPEAT_DETERM (CHANGED (rewtac @{thm "split_paired_all"})) + THEN print_tac "before applying elim rule" + THEN etac (predfun_elim_of thy pred mode) 1 + THEN etac pred_case_rule 1 + THEN (EVERY (map + (fn i => EVERY' (select_sup (length moded_clauses) i) i) + (1 upto (length moded_clauses)))) + THEN (EVERY (map2 (prove_clause thy nargs modes mode) clauses moded_clauses)) + THEN print_tac "proved one direction" + end; + +(** Proof in the other direction **) + +fun prove_match2 thy out_ts = let + fun split_term_tac (Free _) = all_tac + | split_term_tac t = + if (is_constructor thy t) then let + val info = Datatype.the_info thy ((fst o dest_Type o fastype_of) t) + val num_of_constrs = length (#case_rewrites info) + (* special treatment of pairs -- because of fishing *) + val split_rules = case (fst o dest_Type o fastype_of) t of + "*" => [@{thm prod.split_asm}] + | _ => PureThy.get_thms thy (((fst o dest_Type o fastype_of) t) ^ ".split_asm") + val (_, ts) = strip_comb t + in + (Splitter.split_asm_tac split_rules 1) +(* THEN (Simplifier.asm_full_simp_tac HOL_basic_ss 1) + THEN (DETERM (TRY (etac @{thm Pair_inject} 1))) *) + THEN (REPEAT_DETERM_N (num_of_constrs - 1) (etac @{thm botE} 1 ORELSE etac @{thm botE} 2)) + THEN (EVERY (map split_term_tac ts)) + end + else all_tac + in + split_term_tac (mk_tuple out_ts) + THEN (DETERM (TRY ((Splitter.split_asm_tac [@{thm "split_if_asm"}] 1) THEN (etac @{thm botE} 2)))) + end + +(* VERY LARGE SIMILIRATIY to function prove_param +-- join both functions +*) +(* TODO: remove function *) + +fun prove_param2 thy (NONE, t) = all_tac + | prove_param2 thy (m as SOME (Mode (mode, is, ms)), t) = let + val (f, args) = strip_comb (Envir.eta_contract t) + val (params, _) = chop (length ms) args + val f_tac = case f of + Const (name, T) => full_simp_tac (HOL_basic_ss addsimps + (@{thm eval_pred}::(predfun_definition_of thy name mode) + :: @{thm "Product_Type.split_conv"}::[])) 1 + | Free _ => all_tac + | _ => error "prove_param2: illegal parameter term" + in + print_tac "before simplification in prove_args:" + THEN f_tac + THEN print_tac "after simplification in prove_args" + THEN (EVERY (map (prove_param2 thy) (ms ~~ params))) + end + + +fun prove_expr2 thy (Mode (mode, is, ms), t) = + (case strip_comb t of + (Const (name, T), args) => + etac @{thm bindE} 1 + THEN (REPEAT_DETERM (CHANGED (rewtac @{thm "split_paired_all"}))) + THEN print_tac "prove_expr2-before" + THEN (debug_tac (Syntax.string_of_term_global thy + (prop_of (predfun_elim_of thy name mode)))) + THEN (etac (predfun_elim_of thy name mode) 1) + THEN print_tac "prove_expr2" + THEN (EVERY (map (prove_param2 thy) (ms ~~ args))) + THEN print_tac "finished prove_expr2" + | _ => etac @{thm bindE} 1) + +(* FIXME: what is this for? *) +(* replace defined by has_mode thy pred *) +(* TODO: rewrite function *) +fun prove_sidecond2 thy modes t = let + fun preds_of t nameTs = case strip_comb t of + (f as Const (name, T), args) => + if AList.defined (op =) modes name then (name, T) :: nameTs + else fold preds_of args nameTs + | _ => nameTs + val preds = preds_of t [] + val defs = map + (fn (pred, T) => predfun_definition_of thy pred + ([], map (rpair NONE) (1 upto (length (binder_types T))))) + preds + in + (* only simplify the one assumption *) + full_simp_tac (HOL_basic_ss' addsimps @{thm eval_pred} :: defs) 1 + (* need better control here! *) + THEN print_tac "after sidecond2 simplification" + end + +fun prove_clause2 thy modes pred (iss, is) (ts, ps) i = + let + val pred_intro_rule = nth (intros_of thy pred) (i - 1) + val (in_ts, clause_out_ts) = split_smode is ts; + fun prove_prems2 out_ts [] = + print_tac "before prove_match2 - last call:" + THEN prove_match2 thy out_ts + THEN print_tac "after prove_match2 - last call:" + THEN (etac @{thm singleE} 1) + THEN (REPEAT_DETERM (etac @{thm Pair_inject} 1)) + THEN (asm_full_simp_tac HOL_basic_ss' 1) + THEN (REPEAT_DETERM (etac @{thm Pair_inject} 1)) + THEN (asm_full_simp_tac HOL_basic_ss' 1) + THEN SOLVED (print_tac "state before applying intro rule:" + THEN (rtac pred_intro_rule 1) + (* How to handle equality correctly? *) + THEN (print_tac "state before assumption matching") + THEN (REPEAT (atac 1 ORELSE + (CHANGED (asm_full_simp_tac (HOL_basic_ss' addsimps + [@{thm split_eta}, @{thm "split_beta"}, @{thm "fst_conv"}, @{thm "snd_conv"}, @{thm pair_collapse}]) 1) + THEN print_tac "state after simp_tac:")))) + | prove_prems2 out_ts ((p, mode as Mode ((iss, is), _, param_modes)) :: ps) = + let + val rest_tac = (case p of + Prem (us, t) => + let + val (_, out_ts''') = split_smode is us + val rec_tac = prove_prems2 out_ts''' ps + in + (prove_expr2 thy (mode, t)) THEN rec_tac + end + | Negprem (us, t) => + let + val (_, out_ts''') = split_smode is us + val rec_tac = prove_prems2 out_ts''' ps + val name = (case strip_comb t of (Const (c, _), _) => SOME c | _ => NONE) + val (_, params) = strip_comb t + in + print_tac "before neg prem 2" + THEN etac @{thm bindE} 1 + THEN (if is_some name then + full_simp_tac (HOL_basic_ss addsimps [predfun_definition_of thy (the name) (iss, is)]) 1 + THEN etac @{thm not_predE} 1 + THEN simp_tac (HOL_basic_ss addsimps [@{thm not_False_eq_True}]) 1 + THEN (EVERY (map (prove_param2 thy) (param_modes ~~ params))) + else + etac @{thm not_predE'} 1) + THEN rec_tac + end + | Sidecond t => + etac @{thm bindE} 1 + THEN etac @{thm if_predE} 1 + THEN prove_sidecond2 thy modes t + THEN prove_prems2 [] ps) + in print_tac "before prove_match2:" + THEN prove_match2 thy out_ts + THEN print_tac "after prove_match2:" + THEN rest_tac + end; + val prems_tac = prove_prems2 in_ts ps + in + print_tac "starting prove_clause2" + THEN etac @{thm bindE} 1 + THEN (etac @{thm singleE'} 1) + THEN (TRY (etac @{thm Pair_inject} 1)) + THEN print_tac "after singleE':" + THEN prems_tac + end; + +fun prove_other_direction thy modes pred mode moded_clauses = + let + fun prove_clause clause i = + (if i < length moded_clauses then etac @{thm supE} 1 else all_tac) + THEN (prove_clause2 thy modes pred mode clause i) + in + (DETERM (TRY (rtac @{thm unit.induct} 1))) + THEN (REPEAT_DETERM (CHANGED (rewtac @{thm split_paired_all}))) + THEN (rtac (predfun_intro_of thy pred mode) 1) + THEN (REPEAT_DETERM (rtac @{thm refl} 2)) + THEN (EVERY (map2 prove_clause moded_clauses (1 upto (length moded_clauses)))) + end; + +(** proof procedure **) + +fun prove_pred thy clauses preds modes pred mode (moded_clauses, compiled_term) = + let + val ctxt = ProofContext.init thy + val clauses = the (AList.lookup (op =) clauses pred) + in + Goal.prove ctxt (Term.add_free_names compiled_term []) [] compiled_term + (if !do_proofs then + (fn _ => + rtac @{thm pred_iffI} 1 + THEN print_tac "after pred_iffI" + THEN prove_one_direction thy clauses preds modes pred mode moded_clauses + THEN print_tac "proved one direction" + THEN prove_other_direction thy modes pred mode moded_clauses + THEN print_tac "proved other direction") + else (fn _ => setmp quick_and_dirty true SkipProof.cheat_tac thy)) + end; + +(* composition of mode inference, definition, compilation and proof *) + +(** auxillary combinators for table of preds and modes **) + +fun map_preds_modes f preds_modes_table = + map (fn (pred, modes) => + (pred, map (fn (mode, value) => (mode, f pred mode value)) modes)) preds_modes_table + +fun join_preds_modes table1 table2 = + map_preds_modes (fn pred => fn mode => fn value => + (value, the (AList.lookup (op =) (the (AList.lookup (op =) table2 pred)) mode))) table1 + +fun maps_modes preds_modes_table = + map (fn (pred, modes) => + (pred, map (fn (mode, value) => value) modes)) preds_modes_table + +fun compile_preds compfuns mk_fun_of use_size thy all_vs param_vs preds moded_clauses = + map_preds_modes (fn pred => compile_pred compfuns mk_fun_of use_size thy all_vs param_vs pred + (the (AList.lookup (op =) preds pred))) moded_clauses + +fun prove thy clauses preds modes moded_clauses compiled_terms = + map_preds_modes (prove_pred thy clauses preds modes) + (join_preds_modes moded_clauses compiled_terms) + +fun prove_by_skip thy _ _ _ _ compiled_terms = + map_preds_modes (fn pred => fn mode => fn t => Drule.standard (setmp quick_and_dirty true (SkipProof.make_thm thy) t)) + compiled_terms + +fun prepare_intrs thy prednames = + let + val intrs = maps (intros_of thy) prednames + |> map (Logic.unvarify o prop_of) + val nparams = nparams_of thy (hd prednames) + val extra_modes = all_modes_of thy |> filter_out (fn (name, _) => member (op =) prednames name) + val preds = distinct (op =) (map (dest_Const o fst o (strip_intro_concl nparams)) intrs) + val _ $ u = Logic.strip_imp_concl (hd intrs); + val params = List.take (snd (strip_comb u), nparams); + val param_vs = maps term_vs params + val all_vs = terms_vs intrs + fun dest_prem t = + (case strip_comb t of + (v as Free _, ts) => if v mem params then Prem (ts, v) else Sidecond t + | (c as Const (@{const_name Not}, _), [t]) => (case dest_prem t of + Prem (ts, t) => Negprem (ts, t) + | Negprem _ => error ("Double negation not allowed in premise: " ^ (Syntax.string_of_term_global thy (c $ t))) + | Sidecond t => Sidecond (c $ t)) + | (c as Const (s, _), ts) => + if is_registered thy s then + let val (ts1, ts2) = chop (nparams_of thy s) ts + in Prem (ts2, list_comb (c, ts1)) end + else Sidecond t + | _ => Sidecond t) + fun add_clause intr (clauses, arities) = + let + val _ $ t = Logic.strip_imp_concl intr; + val (Const (name, T), ts) = strip_comb t; + val (ts1, ts2) = chop nparams ts; + val prems = map (dest_prem o HOLogic.dest_Trueprop) (Logic.strip_imp_prems intr); + val (Ts, Us) = chop nparams (binder_types T) + in + (AList.update op = (name, these (AList.lookup op = clauses name) @ + [(ts2, prems)]) clauses, + AList.update op = (name, (map (fn U => (case strip_type U of + (Rs as _ :: _, Type ("bool", [])) => SOME (length Rs) + | _ => NONE)) Ts, + length Us)) arities) + end; + val (clauses, arities) = fold add_clause intrs ([], []); + fun modes_of_arities arities = + (map (fn (s, (ks, k)) => (s, cprod (cprods (map + (fn NONE => [NONE] + | SOME k' => map SOME (map (map (rpair NONE)) (subsets 1 k'))) ks), + map (map (rpair NONE)) (subsets 1 k)))) arities) + fun modes_of_typ T = + let + val (Ts, Us) = chop nparams (binder_types T) + fun all_smodes_of_typs Ts = cprods_subset ( + map_index (fn (i, U) => + case HOLogic.strip_tupleT U of + [] => [(i + 1, NONE)] + | [U] => [(i + 1, NONE)] + | Us => (i + 1, NONE) :: + (map (pair (i + 1) o SOME) ((subsets 1 (length Us)) \\ [[], 1 upto (length Us)]))) + Ts) + in + cprod (cprods (map (fn T => case strip_type T of + (Rs as _ :: _, Type ("bool", [])) => map SOME (all_smodes_of_typs Rs) | _ => [NONE]) Ts), + all_smodes_of_typs Us) + end + val all_modes = map (fn (s, T) => (s, modes_of_typ T)) preds + in (preds, nparams, all_vs, param_vs, extra_modes, clauses, all_modes) end; + +(** main function of predicate compiler **) + +fun add_equations_of steps prednames thy = + let + val _ = Output.tracing ("Starting predicate compiler for predicates " ^ commas prednames ^ "...") + val _ = Output.tracing (commas (map (Display.string_of_thm_global thy) (maps (intros_of thy) prednames))) + val (preds, nparams, all_vs, param_vs, extra_modes, clauses, all_modes) = + prepare_intrs thy prednames + val _ = Output.tracing "Infering modes..." + val moded_clauses = #infer_modes steps thy extra_modes all_modes param_vs clauses + val modes = map (fn (p, mps) => (p, map fst mps)) moded_clauses + val _ = print_modes modes + val _ = print_moded_clauses thy moded_clauses + val _ = Output.tracing "Defining executable functions..." + val thy' = fold (#create_definitions steps preds) modes thy + |> Theory.checkpoint + val _ = Output.tracing "Compiling equations..." + val compiled_terms = + (#compile_preds steps) thy' all_vs param_vs preds moded_clauses + val _ = print_compiled_terms thy' compiled_terms + val _ = Output.tracing "Proving equations..." + val result_thms = #prove steps thy' clauses preds (extra_modes @ modes) + moded_clauses compiled_terms + val qname = #qname steps + (* val attrib = gn thy => Attrib.attribute_i thy Code.add_eqn_attrib *) + val attrib = fn thy => Attrib.attribute_i thy (Attrib.internal (K (Thm.declaration_attribute + (fn thm => Context.mapping (Code.add_eqn thm) I)))) + val thy'' = fold (fn (name, result_thms) => fn thy => snd (PureThy.add_thmss + [((Binding.qualify true (Long_Name.base_name name) (Binding.name qname), result_thms), + [attrib thy ])] thy)) + (maps_modes result_thms) thy' + |> Theory.checkpoint + in + thy'' + end + +fun extend' value_of edges_of key (G, visited) = + let + val (G', v) = case try (Graph.get_node G) key of + SOME v => (G, v) + | NONE => (Graph.new_node (key, value_of key) G, value_of key) + val (G'', visited') = fold (extend' value_of edges_of) (edges_of (key, v) \\ visited) + (G', key :: visited) + in + (fold (Graph.add_edge o (pair key)) (edges_of (key, v)) G'', visited') + end; + +fun extend value_of edges_of key G = fst (extend' value_of edges_of key (G, [])) + +fun gen_add_equations steps names thy = + let + val thy' = PredData.map (fold (extend (fetch_pred_data thy) (depending_preds_of thy)) names) thy + |> Theory.checkpoint; + fun strong_conn_of gr keys = + Graph.strong_conn (Graph.subgraph (member (op =) (Graph.all_succs gr keys)) gr) + val scc = strong_conn_of (PredData.get thy') names + val thy'' = fold_rev + (fn preds => fn thy => + if #are_not_defined steps thy preds then add_equations_of steps preds thy else thy) + scc thy' |> Theory.checkpoint + in thy'' end + +(* different instantiantions of the predicate compiler *) + +val add_equations = gen_add_equations + {infer_modes = infer_modes, + create_definitions = create_definitions, + compile_preds = compile_preds PredicateCompFuns.compfuns mk_fun_of false, + prove = prove, + are_not_defined = fn thy => forall (null o modes_of thy), + qname = "equation"} + +val add_sizelim_equations = gen_add_equations + {infer_modes = infer_modes, + create_definitions = sizelim_create_definitions, + compile_preds = compile_preds PredicateCompFuns.compfuns mk_sizelim_fun_of true, + prove = prove_by_skip, + are_not_defined = fn thy => forall (null o sizelim_modes_of thy), + qname = "sizelim_equation" + } + +val add_quickcheck_equations = gen_add_equations + {infer_modes = infer_modes_with_generator, + create_definitions = rpred_create_definitions, + compile_preds = compile_preds RPredCompFuns.compfuns mk_generator_of true, + prove = prove_by_skip, + are_not_defined = fn thy => forall (null o rpred_modes_of thy), + qname = "rpred_equation"} + +(** user interface **) + +(* code_pred_intro attribute *) + +fun attrib f = Thm.declaration_attribute (fn thm => Context.mapping (f thm) I); + +val code_pred_intros_attrib = attrib add_intro; + + +(*FIXME +- Naming of auxiliary rules necessary? +- add default code equations P x y z = P_i_i_i x y z +*) + +val setup = PredData.put (Graph.empty) #> + Attrib.setup @{binding code_pred_intros} (Scan.succeed (attrib add_intro)) + "adding alternative introduction rules for code generation of inductive predicates" +(* Attrib.setup @{binding code_ind_cases} (Scan.succeed add_elim_attrib) + "adding alternative elimination rules for code generation of inductive predicates"; + *) + (*FIXME name discrepancy in attribs and ML code*) + (*FIXME intros should be better named intro*) + (*FIXME why distinguished attribute for cases?*) + +(* TODO: make TheoryDataFun to GenericDataFun & remove duplication of local theory and theory *) +fun generic_code_pred prep_const rpred raw_const lthy = + let + val thy = ProofContext.theory_of lthy + val const = prep_const thy raw_const + val lthy' = LocalTheory.theory (PredData.map + (extend (fetch_pred_data thy) (depending_preds_of thy) const)) lthy + |> LocalTheory.checkpoint + val thy' = ProofContext.theory_of lthy' + val preds = Graph.all_preds (PredData.get thy') [const] |> filter_out (has_elim thy') + fun mk_cases const = + let + val nparams = nparams_of thy' const + val intros = intros_of thy' const + in mk_casesrule lthy' nparams intros end + val cases_rules = map mk_cases preds + val cases = + map (fn case_rule => RuleCases.Case {fixes = [], + assumes = [("", Logic.strip_imp_prems case_rule)], + binds = [], cases = []}) cases_rules + val case_env = map2 (fn p => fn c => (Long_Name.base_name p, SOME c)) preds cases + val lthy'' = lthy' + |> fold Variable.auto_fixes cases_rules + |> ProofContext.add_cases true case_env + fun after_qed thms goal_ctxt = + let + val global_thms = ProofContext.export goal_ctxt + (ProofContext.init (ProofContext.theory_of goal_ctxt)) (map the_single thms) + in + goal_ctxt |> LocalTheory.theory (fold set_elim global_thms #> + (if rpred then + (add_equations [const] #> + add_sizelim_equations [const] #> add_quickcheck_equations [const]) + else add_equations [const])) + end + in + Proof.theorem_i NONE after_qed (map (single o (rpair [])) cases_rules) lthy'' + end; + +val code_pred = generic_code_pred (K I); +val code_pred_cmd = generic_code_pred Code.read_const + +(* transformation for code generation *) + +val eval_ref = ref (NONE : (unit -> term Predicate.pred) option); + +(*FIXME turn this into an LCF-guarded preprocessor for comprehensions*) +fun analyze_compr thy t_compr = + let + val split = case t_compr of (Const (@{const_name Collect}, _) $ t) => t + | _ => error ("Not a set comprehension: " ^ Syntax.string_of_term_global thy t_compr); + val (body, Ts, fp) = HOLogic.strip_psplits split; + val (pred as Const (name, T), all_args) = strip_comb body; + val (params, args) = chop (nparams_of thy name) all_args; + val user_mode = map_filter I (map_index + (fn (i, t) => case t of Bound j => if j < length Ts then NONE + else SOME (i+1) | _ => SOME (i+1)) args); (*FIXME dangling bounds should not occur*) + val user_mode' = map (rpair NONE) user_mode + val modes = filter (fn Mode (_, is, _) => is = user_mode') + (modes_of_term (all_modes_of thy) (list_comb (pred, params))); + val m = case modes + of [] => error ("No mode possible for comprehension " + ^ Syntax.string_of_term_global thy t_compr) + | [m] => m + | m :: _ :: _ => (warning ("Multiple modes possible for comprehension " + ^ Syntax.string_of_term_global thy t_compr); m); + val (inargs, outargs) = split_smode user_mode' args; + val t_pred = list_comb (compile_expr NONE NONE thy (m, list_comb (pred, params)), inargs); + val t_eval = if null outargs then t_pred else + let + val outargs_bounds = map (fn Bound i => i) outargs; + val outargsTs = map (nth Ts) outargs_bounds; + val T_pred = HOLogic.mk_tupleT outargsTs; + val T_compr = HOLogic.mk_ptupleT fp Ts; + val arrange_bounds = map_index I outargs_bounds + |> sort (prod_ord (K EQUAL) int_ord) + |> map fst; + val arrange = funpow (length outargs_bounds - 1) HOLogic.mk_split + (Term.list_abs (map (pair "") outargsTs, + HOLogic.mk_ptuple fp T_compr (map Bound arrange_bounds))) + in mk_map PredicateCompFuns.compfuns T_pred T_compr arrange t_pred end + in t_eval end; + +fun eval thy t_compr = + let + val t = analyze_compr thy t_compr; + val T = dest_predT PredicateCompFuns.compfuns (fastype_of t); + val t' = mk_map PredicateCompFuns.compfuns T HOLogic.termT (HOLogic.term_of_const T) t; + in (T, Code_ML.eval NONE ("Predicate_Compile_Core.eval_ref", eval_ref) Predicate.map thy t' []) end; + +fun values ctxt k t_compr = + let + val thy = ProofContext.theory_of ctxt; + val (T, t) = eval thy t_compr; + val setT = HOLogic.mk_setT T; + val (ts, _) = Predicate.yieldn k t; + val elemsT = HOLogic.mk_set T ts; + in if k = ~1 orelse length ts < k then elemsT + else Const (@{const_name Set.union}, setT --> setT --> setT) $ elemsT $ t_compr + end; + (* +fun random_values ctxt k t = + let + val thy = ProofContext.theory_of ctxt + val _ = + in + end; + *) +fun values_cmd modes k raw_t state = + let + val ctxt = Toplevel.context_of state; + val t = Syntax.read_term ctxt raw_t; + val t' = values ctxt k t; + val ty' = Term.type_of t'; + val ctxt' = Variable.auto_fixes t' ctxt; + val p = PrintMode.with_modes modes (fn () => + Pretty.block [Pretty.quote (Syntax.pretty_term ctxt' t'), Pretty.fbrk, + Pretty.str "::", Pretty.brk 1, Pretty.quote (Syntax.pretty_typ ctxt' ty')]) (); + in Pretty.writeln p end; + + +local structure P = OuterParse in + +val opt_modes = Scan.optional (P.$$$ "(" |-- P.!!! (Scan.repeat1 P.xname --| P.$$$ ")")) []; + +val _ = OuterSyntax.improper_command "values" "enumerate and print comprehensions" OuterKeyword.diag + (opt_modes -- Scan.optional P.nat ~1 -- P.term + >> (fn ((modes, k), t) => Toplevel.no_timing o Toplevel.keep + (values_cmd modes k t))); + +end; + +end; diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/ex/Predicate_Compile.thy --- a/src/HOL/ex/Predicate_Compile.thy Wed Sep 23 16:32:53 2009 +0200 +++ b/src/HOL/ex/Predicate_Compile.thy Fri Sep 25 09:50:31 2009 +0200 @@ -1,8 +1,17 @@ theory Predicate_Compile imports Complex_Main RPred -uses "predicate_compile.ML" +uses + "../Tools/Predicate_Compile/pred_compile_aux.ML" + "../Tools/Predicate_Compile/predicate_compile_core.ML" + "../Tools/Predicate_Compile/pred_compile_set.ML" + "../Tools/Predicate_Compile/pred_compile_data.ML" + "../Tools/Predicate_Compile/pred_compile_fun.ML" + "../Tools/Predicate_Compile/pred_compile_pred.ML" + "../Tools/Predicate_Compile/predicate_compile.ML" + "../Tools/Predicate_Compile/pred_compile_quickcheck.ML" begin setup {* Predicate_Compile.setup *} +setup {* Quickcheck.add_generator ("pred_compile", Pred_Compile_Quickcheck.quickcheck) *} end \ No newline at end of file diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/ex/Predicate_Compile_ex.thy --- a/src/HOL/ex/Predicate_Compile_ex.thy Wed Sep 23 16:32:53 2009 +0200 +++ b/src/HOL/ex/Predicate_Compile_ex.thy Fri Sep 25 09:50:31 2009 +0200 @@ -22,8 +22,10 @@ | "append xs ys zs \ append (x # xs) ys (x # zs)" code_pred append . +code_pred (inductify_all) (rpred) append . thm append.equation +thm append.rpred_equation values "{(ys, xs). append xs ys [0, Suc 0, 2]}" values "{zs. append [0, Suc 0, 2] [17, 8] zs}" @@ -49,6 +51,22 @@ thm partition.equation + +inductive member +for xs +where "x \ set xs ==> member xs x" + +lemma [code_pred_intros]: + "member (x#xs') x" +by (auto intro: member.intros) + +lemma [code_pred_intros]: +"member xs x ==> member (x'#xs) x" +by (auto intro: member.intros elim!: member.cases) +(* strange bug must be repaired! *) +(* +code_pred member sorry +*) inductive is_even :: "nat \ bool" where "n mod 2 = 0 \ is_even n" @@ -70,15 +88,11 @@ case tranclp from this converse_tranclpE[OF this(1)] show thesis by metis qed - +(* +code_pred (inductify_all) (rpred) tranclp . thm tranclp.equation -(* -setup {* Predicate_Compile.add_sizelim_equations [@{const_name tranclp}] *} -setup {* fn thy => exception_trace (fn () => Predicate_Compile.add_quickcheck_equations [@{const_name tranclp}] thy) *} - thm tranclp.rpred_equation *) - inductive succ :: "nat \ nat \ bool" where "succ 0 1" | "succ m n \ succ (Suc m) (Suc n)" @@ -157,6 +171,7 @@ values 3 "{(a,q). step (par nil nil) a q}" *) +subsection {* divmod *} inductive divmod_rel :: "nat \ nat \ nat \ nat \ bool" where "k < l \ divmod_rel k l 0 k" @@ -166,4 +181,261 @@ value [code] "Predicate.singleton (divmod_rel_1_2 1705 42)" +section {* Executing definitions *} + +definition Min +where "Min s r x \ s x \ (\y. r x y \ x = y)" + +code_pred (inductify_all) Min . + +subsection {* Examples with lists *} + +inductive filterP for Pa where +"(filterP::('a => bool) => 'a list => 'a list => bool) (Pa::'a => bool) [] []" +| "[| (res::'a list) = (y::'a) # (resa::'a list); (filterP::('a => bool) => 'a list => 'a list => bool) (Pa::'a => bool) (xt::'a list) resa; Pa y |] +==> filterP Pa (y # xt) res" +| "[| (filterP::('a => bool) => 'a list => 'a list => bool) (Pa::'a => bool) (xt::'a list) (res::'a list); ~ Pa (y::'a) |] ==> filterP Pa (y # xt) res" + +(* +code_pred (inductify_all) (rpred) filterP . +thm filterP.rpred_equation +*) + +code_pred (inductify_all) lexord . + +thm lexord.equation + +lemma "(u, v) : lexord r ==> (x @ u, y @ v) : lexord r" +(*quickcheck[generator=pred_compile]*) +oops + +lemmas [code_pred_def] = lexn_conv lex_conv lenlex_conv + +code_pred (inductify_all) lexn . +thm lexn.equation + +code_pred (inductify_all) lenlex . +thm lenlex.equation +(* +code_pred (inductify_all) (rpred) lenlex . +thm lenlex.rpred_equation +*) +thm lists.intros +code_pred (inductify_all) lists . + +thm lists.equation + +datatype 'a tree = ET | MKT 'a "'a tree" "'a tree" nat +fun height :: "'a tree => nat" where +"height ET = 0" +| "height (MKT x l r h) = max (height l) (height r) + 1" + +consts avl :: "'a tree => bool" +primrec + "avl ET = True" + "avl (MKT x l r h) = ((height l = height r \ height l = 1 + height r \ height r = 1+height l) \ + h = max (height l) (height r) + 1 \ avl l \ avl r)" + +code_pred (inductify_all) avl . +thm avl.equation + +lemma [code_pred_inline]: "bot_fun_inst.bot_fun == (\(y::'a::type). False)" +unfolding bot_fun_inst.bot_fun[symmetric] bot_bool_eq[symmetric] bot_fun_eq by simp + +fun set_of +where +"set_of ET = {}" +| "set_of (MKT n l r h) = insert n (set_of l \ set_of r)" + +fun is_ord +where +"is_ord ET = True" +| "is_ord (MKT n l r h) = + ((\n' \ set_of l. n' < n) \ (\n' \ set_of r. n < n') \ is_ord l \ is_ord r)" + +declare Un_def[code_pred_def] + +code_pred (inductify_all) set_of . +thm set_of.equation +(* FIXME *) +(* +code_pred (inductify_all) is_ord . +thm is_ord.equation +*) +section {* Definitions about Relations *} + +code_pred (inductify_all) converse . +thm converse.equation + +code_pred (inductify_all) Domain . +thm Domain.equation + + +section {* Context Free Grammar *} + +datatype alphabet = a | b + +inductive_set S\<^isub>1 and A\<^isub>1 and B\<^isub>1 where + "[] \ S\<^isub>1" +| "w \ A\<^isub>1 \ b # w \ S\<^isub>1" +| "w \ B\<^isub>1 \ a # w \ S\<^isub>1" +| "w \ S\<^isub>1 \ a # w \ A\<^isub>1" +| "w \ S\<^isub>1 \ b # w \ S\<^isub>1" +| "\v \ B\<^isub>1; v \ B\<^isub>1\ \ a # v @ w \ B\<^isub>1" + +code_pred (inductify_all) S\<^isub>1p . + +thm S\<^isub>1p.equation + +theorem S\<^isub>1_sound: +"w \ S\<^isub>1 \ length [x \ w. x = a] = length [x \ w. x = b]" +quickcheck[generator=pred_compile] +oops + +inductive_set S\<^isub>2 and A\<^isub>2 and B\<^isub>2 where + "[] \ S\<^isub>2" +| "w \ A\<^isub>2 \ b # w \ S\<^isub>2" +| "w \ B\<^isub>2 \ a # w \ S\<^isub>2" +| "w \ S\<^isub>2 \ a # w \ A\<^isub>2" +| "w \ S\<^isub>2 \ b # w \ B\<^isub>2" +| "\v \ B\<^isub>2; v \ B\<^isub>2\ \ a # v @ w \ B\<^isub>2" +(* +code_pred (inductify_all) (rpred) S\<^isub>2 . +ML {* Predicate_Compile_Core.intros_of @{theory} @{const_name "B\<^isub>2"} *} +*) +theorem S\<^isub>2_sound: +"w \ S\<^isub>2 \ length [x \ w. x = a] = length [x \ w. x = b]" +(*quickcheck[generator=SML]*) +quickcheck[generator=pred_compile, size=15, iterations=100] +oops + +inductive_set S\<^isub>3 and A\<^isub>3 and B\<^isub>3 where + "[] \ S\<^isub>3" +| "w \ A\<^isub>3 \ b # w \ S\<^isub>3" +| "w \ B\<^isub>3 \ a # w \ S\<^isub>3" +| "w \ S\<^isub>3 \ a # w \ A\<^isub>3" +| "w \ S\<^isub>3 \ b # w \ B\<^isub>3" +| "\v \ B\<^isub>3; w \ B\<^isub>3\ \ a # v @ w \ B\<^isub>3" + +(* +code_pred (inductify_all) S\<^isub>3 . +*) +theorem S\<^isub>3_sound: +"w \ S\<^isub>3 \ length [x \ w. x = a] = length [x \ w. x = b]" +quickcheck[generator=pred_compile, size=10, iterations=1] +oops + +lemma "\ (length w > 2) \ \ (length [x \ w. x = a] = length [x \ w. x = b])" +quickcheck[size=10, generator = pred_compile] +oops + +theorem S\<^isub>3_complete: +"length [x \ w. x = a] = length [x \ w. x = b] \ w \ S\<^isub>3" +(*quickcheck[generator=SML]*) +quickcheck[generator=pred_compile, size=10, iterations=100] +oops + +inductive_set S\<^isub>4 and A\<^isub>4 and B\<^isub>4 where + "[] \ S\<^isub>4" +| "w \ A\<^isub>4 \ b # w \ S\<^isub>4" +| "w \ B\<^isub>4 \ a # w \ S\<^isub>4" +| "w \ S\<^isub>4 \ a # w \ A\<^isub>4" +| "\v \ A\<^isub>4; w \ A\<^isub>4\ \ b # v @ w \ A\<^isub>4" +| "w \ S\<^isub>4 \ b # w \ B\<^isub>4" +| "\v \ B\<^isub>4; w \ B\<^isub>4\ \ a # v @ w \ B\<^isub>4" + +theorem S\<^isub>4_sound: +"w \ S\<^isub>4 \ length [x \ w. x = a] = length [x \ w. x = b]" +quickcheck[generator = pred_compile, size=2, iterations=1] +oops + +theorem S\<^isub>4_complete: +"length [x \ w. x = a] = length [x \ w. x = b] \ w \ S\<^isub>4" +quickcheck[generator = pred_compile, size=5, iterations=1] +oops + +theorem S\<^isub>4_A\<^isub>4_B\<^isub>4_sound_and_complete: +"w \ S\<^isub>4 \ length [x \ w. x = a] = length [x \ w. x = b]" +"w \ A\<^isub>4 \ length [x \ w. x = a] = length [x \ w. x = b] + 1" +"w \ B\<^isub>4 \ length [x \ w. x = b] = length [x \ w. x = a] + 1" +(*quickcheck[generator = pred_compile, size=5, iterations=1]*) +oops + + +section {* Lambda *} +datatype type = + Atom nat + | Fun type type (infixr "\" 200) + +datatype dB = + Var nat + | App dB dB (infixl "\" 200) + | Abs type dB + +primrec + nth_el :: "'a list \ nat \ 'a option" ("_\_\" [90, 0] 91) +where + "[]\i\ = None" +| "(x # xs)\i\ = (case i of 0 \ Some x | Suc j \ xs \j\)" + +(* +inductive nth_el' :: "'a list \ nat \ 'a \ bool" +where + "nth_el' (x # xs) 0 x" +| "nth_el' xs i y \ nth_el' (x # xs) (Suc i) y" +*) +inductive typing :: "type list \ dB \ type \ bool" ("_ \ _ : _" [50, 50, 50] 50) + where + Var [intro!]: "nth_el env x = Some T \ env \ Var x : T" + | Abs [intro!]: "T # env \ t : U \ env \ Abs T t : (T \ U)" +(* | App [intro!]: "env \ s : T \ U \ env \ t : T \ env \ (s \ t) : U" *) + | App [intro!]: "env \ s : U \ T \ env \ t : T \ env \ (s \ t) : U" + +primrec + lift :: "[dB, nat] => dB" +where + "lift (Var i) k = (if i < k then Var i else Var (i + 1))" + | "lift (s \ t) k = lift s k \ lift t k" + | "lift (Abs T s) k = Abs T (lift s (k + 1))" + +primrec + subst :: "[dB, dB, nat] => dB" ("_[_'/_]" [300, 0, 0] 300) +where + subst_Var: "(Var i)[s/k] = + (if k < i then Var (i - 1) else if i = k then s else Var i)" + | subst_App: "(t \ u)[s/k] = t[s/k] \ u[s/k]" + | subst_Abs: "(Abs T t)[s/k] = Abs T (t[lift s 0 / k+1])" + +inductive beta :: "[dB, dB] => bool" (infixl "\\<^sub>\" 50) + where + beta [simp, intro!]: "Abs T s \ t \\<^sub>\ s[t/0]" + | appL [simp, intro!]: "s \\<^sub>\ t ==> s \ u \\<^sub>\ t \ u" + | appR [simp, intro!]: "s \\<^sub>\ t ==> u \ s \\<^sub>\ u \ t" + | abs [simp, intro!]: "s \\<^sub>\ t ==> Abs T s \\<^sub>\ Abs T t" + +lemma "Gamma \ t : T \ t \\<^sub>\ t' \ Gamma \ t' : T" +quickcheck[generator = pred_compile, size = 10, iterations = 1000] +oops +(* FIXME *) +(* +inductive test for P where +"[| filter P vs = res |] +==> test P vs res" + +code_pred test . +*) +(* +export_code test_for_1_yields_1_2 in SML file - +code_pred (inductify_all) (rpred) test . + +thm test.equation +*) + +lemma filter_eq_ConsD: + "filter P ys = x#xs \ + \us vs. ys = ts @ x # vs \ (\u\set us. \ P u) \ P x \ xs = filter P vs" +(*quickcheck[generator = pred_compile]*) +oops + + end \ No newline at end of file diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/HOL/ex/RPred.thy --- a/src/HOL/ex/RPred.thy Wed Sep 23 16:32:53 2009 +0200 +++ b/src/HOL/ex/RPred.thy Fri Sep 25 09:50:31 2009 +0200 @@ -14,13 +14,15 @@ definition return :: "'a => 'a rpred" where "return x = Pair (Predicate.single x)" -definition bind :: "'a rpred \ ('a \ 'b rpred) \ 'b rpred" (infixl "\=" 60) +definition bind :: "'a rpred \ ('a \ 'b rpred) \ 'b rpred" +(* (infixl "\=" 60) *) where "bind RP f = (\s. let (P, s') = RP s; (s1, s2) = Random.split_seed s' in (Predicate.bind P (%a. fst (f a s1)), s2))" -definition supp :: "'a rpred \ 'a rpred \ 'a rpred" (infixl "\" 80) +definition supp :: "'a rpred \ 'a rpred \ 'a rpred" +(* (infixl "\" 80) *) where "supp RP1 RP2 = (\s. let (P1, s') = RP1 s; (P2, s'') = RP2 s' in (upper_semilattice_class.sup P1 P2, s''))" @@ -43,6 +45,8 @@ where "lift_random g = scomp g (Pair o (Predicate.single o fst))" definition map_rpred :: "('a \ 'b) \ ('a rpred \ 'b rpred)" -where "map_rpred f P = P \= (return o f)" +where "map_rpred f P = bind P (return o f)" + +hide (open) const return bind supp end \ No newline at end of file diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/Pure/Isar/code.ML --- a/src/Pure/Isar/code.ML Wed Sep 23 16:32:53 2009 +0200 +++ b/src/Pure/Isar/code.ML Fri Sep 25 09:50:31 2009 +0200 @@ -760,7 +760,7 @@ end; (*struct*) -(** type-safe interfaces for data depedent on executable code **) +(** type-safe interfaces for data dependent on executable code **) functor Code_Data_Fun(Data: CODE_DATA_ARGS): CODE_DATA = struct @@ -780,4 +780,49 @@ end; +(** datastructure to log definitions for preprocessing of the predicate compiler **) +(* obviously a clone of Named_Thms *) + +signature PREDICATE_COMPILE_PREPROC_CONST_DEFS = +sig + val get: Proof.context -> thm list + val add_thm: thm -> Context.generic -> Context.generic + val del_thm: thm -> Context.generic -> Context.generic + + val add_attribute : attribute + val del_attribute : attribute + + val add_attrib : Attrib.src + + val setup: theory -> theory +end; + +structure Predicate_Compile_Preproc_Const_Defs : PREDICATE_COMPILE_PREPROC_CONST_DEFS = +struct + +structure Data = GenericDataFun +( + type T = thm list; + val empty = []; + val extend = I; + fun merge _ = Thm.merge_thms; +); + +val get = Data.get o Context.Proof; + +val add_thm = Data.map o Thm.add_thm; +val del_thm = Data.map o Thm.del_thm; + +val add_attribute = Thm.declaration_attribute add_thm; +val del_attribute = Thm.declaration_attribute del_thm; + +val add_attrib = Attrib.internal (K add_attribute) + +val setup = + Attrib.setup (Binding.name "pred_compile_preproc") (Attrib.add_del add_attribute del_attribute) + ("declaration of definition for preprocessing of the predicate compiler") #> + PureThy.add_thms_dynamic (Binding.name "pred_compile_preproc", Data.get); + +end; + structure Code : CODE = struct open Code; end; diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/Pure/Isar/constdefs.ML --- a/src/Pure/Isar/constdefs.ML Wed Sep 23 16:32:53 2009 +0200 +++ b/src/Pure/Isar/constdefs.ML Fri Sep 25 09:50:31 2009 +0200 @@ -52,7 +52,7 @@ thy |> Sign.add_consts_i [(b, T, mx)] |> PureThy.add_defs false [((name, def), atts)] - |-> (fn [thm] => Code.add_default_eqn thm); + |-> (fn [thm] => Code.add_default_eqn thm #> Context.theory_map (Predicate_Compile_Preproc_Const_Defs.add_thm thm)); in ((c, T), thy') end; fun gen_constdefs prep_vars prep_prop prep_att (raw_structs, specs) thy = diff -r 6f0a56d255f4 -r 04ce6bb14d85 src/Pure/Isar/specification.ML --- a/src/Pure/Isar/specification.ML Wed Sep 23 16:32:53 2009 +0200 +++ b/src/Pure/Isar/specification.ML Fri Sep 25 09:50:31 2009 +0200 @@ -209,7 +209,8 @@ (var, ((Binding.suffix_name "_raw" name, []), rhs)); val ((def_name, [th']), lthy3) = lthy2 |> LocalTheory.note Thm.definitionK - ((name, Code.add_default_eqn_attrib :: atts), [prove lthy2 th]); + ((name, Predicate_Compile_Preproc_Const_Defs.add_attrib :: Code.add_default_eqn_attrib :: atts), + [prove lthy2 th]); val lhs' = Morphism.term (LocalTheory.target_morphism lthy3) lhs; val _ =