author | blanchet |
Mon, 28 Jun 2010 18:15:40 +0200 | |
changeset 37620 | 537beae999d7 |
parent 37618 | fa57a87f92a0 |
child 37626 | 1146291fe718 |
permissions | -rw-r--r-- |
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renamed "Sledgehammer_Fact_Preprocessor" to "Clausifier";
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1 |
(* Title: HOL/Tools/Sledgehammer/clausifier.ML |
33311 | 2 |
Author: Jia Meng, Cambridge University Computer Laboratory |
36393
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support readable names even when Isar proof reconstruction is enabled -- useful for debugging
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3 |
Author: Jasmin Blanchette, TU Muenchen |
15347 | 4 |
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skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
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5 |
Transformation of axiom rules (elim/intro/etc) into CNF forms. |
15347 | 6 |
*) |
7 |
||
37574
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renamed "Sledgehammer_Fact_Preprocessor" to "Clausifier";
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8 |
signature CLAUSIFIER = |
21505 | 9 |
sig |
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ResAxioms.cnf_axiom/cnf_rules_pairs: pass explicit theory context;
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val cnf_axiom: theory -> thm -> thm list |
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val multi_base_blacklist: string list |
37348 | 12 |
val is_theorem_bad_for_atps: thm -> bool |
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renamed type_has_empty_sort to type_has_topsort -- {} is the full universal sort;
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13 |
val type_has_topsort: typ -> bool |
37620
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remove obsolete component of CNF clause tuple (and reorder it)
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14 |
val cnf_rules_pairs : |
537beae999d7
remove obsolete component of CNF clause tuple (and reorder it)
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15 |
theory -> (string * thm) list -> ((string * int) * thm) list |
36398
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make "neg_clausify" return a list of lists of clauses, so that it's possible to see which clause comes from which theorem
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val neg_clausify: thm -> thm list |
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make "neg_clausify" return a list of lists of clauses, so that it's possible to see which clause comes from which theorem
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17 |
val neg_conjecture_clauses: |
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make "neg_clausify" return a list of lists of clauses, so that it's possible to see which clause comes from which theorem
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18 |
Proof.context -> thm -> int -> thm list list * (string * typ) list |
21505 | 19 |
end; |
19196
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Added functions to retrieve local and global atpset rules.
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20 |
|
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renamed "Sledgehammer_Fact_Preprocessor" to "Clausifier";
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21 |
structure Clausifier : CLAUSIFIER = |
15997 | 22 |
struct |
15347 | 23 |
|
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renamed type_has_empty_sort to type_has_topsort -- {} is the full universal sort;
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val type_has_topsort = Term.exists_subtype |
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renamed type_has_empty_sort to type_has_topsort -- {} is the full universal sort;
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25 |
(fn TFree (_, []) => true |
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renamed type_has_empty_sort to type_has_topsort -- {} is the full universal sort;
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| TVar (_, []) => true |
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renamed type_has_empty_sort to type_has_topsort -- {} is the full universal sort;
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| _ => false); |
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|
15997 | 30 |
(**** Transformation of Elimination Rules into First-Order Formulas****) |
15347 | 31 |
|
29064 | 32 |
val cfalse = cterm_of @{theory HOL} HOLogic.false_const; |
33 |
val ctp_false = cterm_of @{theory HOL} (HOLogic.mk_Trueprop HOLogic.false_const); |
|
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skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
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parents:
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34 |
|
21430
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New transformation of eliminatino rules: we simply replace the final conclusion variable by False
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(*Converts an elim-rule into an equivalent theorem that does not have the |
77651b6d9d6c
New transformation of eliminatino rules: we simply replace the final conclusion variable by False
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predicate variable. Leaves other theorems unchanged. We simply instantiate the |
77651b6d9d6c
New transformation of eliminatino rules: we simply replace the final conclusion variable by False
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conclusion variable to False.*) |
16009 | 38 |
fun transform_elim th = |
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New transformation of eliminatino rules: we simply replace the final conclusion variable by False
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case concl_of th of (*conclusion variable*) |
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@{const Trueprop} $ (v as Var (_, @{typ bool})) => |
29064 | 41 |
Thm.instantiate ([], [(cterm_of @{theory HOL} v, cfalse)]) th |
35963 | 42 |
| v as Var(_, @{typ prop}) => |
29064 | 43 |
Thm.instantiate ([], [(cterm_of @{theory HOL} v, ctp_false)]) th |
21430
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New transformation of eliminatino rules: we simply replace the final conclusion variable by False
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| _ => th; |
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|
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removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
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(*To enforce single-threading*) |
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removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
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exception Clausify_failure of theory; |
20461
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skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
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|
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|
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(**** SKOLEMIZATION BY INFERENCE (lcp) ****) |
51 |
||
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adjusted the polymorphism handling of Skolem constants so that proof reconstruction doesn't fail in "equality_inf"
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fun mk_skolem_id t = |
37436 | 53 |
let val T = fastype_of t in |
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reintroduce new Sledgehammer polymorphic handling code;
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Const (@{const_name skolem_id}, T --> T) $ t |
37436 | 55 |
end |
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adjusted the polymorphism handling of Skolem constants so that proof reconstruction doesn't fail in "equality_inf"
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56 |
|
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always perform "inline" skolemization, polymorphism or not, Skolem cache or not
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fun beta_eta_under_lambdas (Abs (s, T, t')) = |
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Abs (s, T, beta_eta_under_lambdas t') |
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| beta_eta_under_lambdas t = Envir.beta_eta_contract t |
37512
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this looks like the most appropriate place to do the beta-eta-contraction
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|
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Skolemization by inference, but not quite finished
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(*Traverse a theorem, accumulating Skolem function definitions.*) |
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always perform "inline" skolemization, polymorphism or not, Skolem cache or not
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fun assume_skolem_funs th = |
37399
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proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
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63 |
let |
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always perform "inline" skolemization, polymorphism or not, Skolem cache or not
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fun dec_sko (Const (@{const_name Ex}, _) $ (body as Abs (s', T, p))) rhss = |
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(*Existential: declare a Skolem function, then insert into body and continue*) |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
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parents:
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66 |
let |
37617
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always perform "inline" skolemization, polymorphism or not, Skolem cache or not
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val args = OldTerm.term_frees body |
37399
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proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
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val Ts = map type_of args |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
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val cT = Ts ---> T (* FIXME: use "skolem_type_and_args" *) |
37500
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thread original theorem along with CNF theorem, as a step toward killing the Skolem cache
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(* Forms a lambda-abstraction over the formal parameters *) |
7587b6e63454
thread original theorem along with CNF theorem, as a step toward killing the Skolem cache
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val rhs = |
7587b6e63454
thread original theorem along with CNF theorem, as a step toward killing the Skolem cache
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parents:
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72 |
list_abs_free (map dest_Free args, |
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always perform "inline" skolemization, polymorphism or not, Skolem cache or not
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HOLogic.choice_const T $ beta_eta_under_lambdas body) |
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use Skolem inlining also in the nonpolymorphic case, as a step toward simplifying the source code
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|> mk_skolem_id |
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use Skolem inlining also in the nonpolymorphic case, as a step toward simplifying the source code
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val comb = list_comb (rhs, args) |
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always perform "inline" skolemization, polymorphism or not, Skolem cache or not
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in dec_sko (subst_bound (comb, p)) (rhs :: rhss) end |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
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| dec_sko (Const (@{const_name All},_) $ Abs (a, T, p)) rhss = |
37399
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proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
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78 |
(*Universal quant: insert a free variable into body and continue*) |
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
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parents:
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|
79 |
let val fname = Name.variant (OldTerm.add_term_names (p,[])) a |
37617
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always perform "inline" skolemization, polymorphism or not, Skolem cache or not
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parents:
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in dec_sko (subst_bound (Free(fname,T), p)) rhss end |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
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parents:
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81 |
| dec_sko (@{const "op &"} $ p $ q) rhss = rhss |> dec_sko p |> dec_sko q |
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always perform "inline" skolemization, polymorphism or not, Skolem cache or not
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parents:
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82 |
| dec_sko (@{const "op |"} $ p $ q) rhss = rhss |> dec_sko p |> dec_sko q |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
83 |
| dec_sko (@{const Trueprop} $ p) rhss = dec_sko p rhss |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
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diff
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|
84 |
| dec_sko _ rhss = rhss |
20419 | 85 |
in dec_sko (prop_of th) [] end; |
86 |
||
87 |
||
24827 | 88 |
(**** REPLACING ABSTRACTIONS BY COMBINATORS ****) |
20419 | 89 |
|
90 |
(*Returns the vars of a theorem*) |
|
91 |
fun vars_of_thm th = |
|
22691 | 92 |
map (Thm.cterm_of (theory_of_thm th) o Var) (Thm.fold_terms Term.add_vars th []); |
20419 | 93 |
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better eta-expansion in Sledgehammer's clausification;
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val fun_cong_all = @{thm expand_fun_eq [THEN iffD1]} |
20419 | 95 |
|
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96 |
(* Removes the lambdas from an equation of the form t = (%x. u). *) |
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better eta-expansion in Sledgehammer's clausification;
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fun extensionalize th = |
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case prop_of th of |
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_ $ (Const (@{const_name "op ="}, Type (_, [Type (@{type_name fun}, _), _])) |
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100 |
$ _ $ Abs (s, _, _)) => extensionalize (th RS fun_cong_all) |
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101 |
| _ => th |
20419 | 102 |
|
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no point in introducing combinators for inlined Skolem functions
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103 |
fun is_quasi_lambda_free (Const (@{const_name skolem_id}, _) $ _) = true |
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104 |
| is_quasi_lambda_free (t1 $ t2) = |
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no point in introducing combinators for inlined Skolem functions
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105 |
is_quasi_lambda_free t1 andalso is_quasi_lambda_free t2 |
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106 |
| is_quasi_lambda_free (Abs _) = false |
d5ac8280497e
no point in introducing combinators for inlined Skolem functions
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107 |
| is_quasi_lambda_free _ = true |
20461
d689ad772b2c
skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents:
20457
diff
changeset
|
108 |
|
32010 | 109 |
val [f_B,g_B] = map (cterm_of @{theory}) (OldTerm.term_vars (prop_of @{thm abs_B})); |
110 |
val [g_C,f_C] = map (cterm_of @{theory}) (OldTerm.term_vars (prop_of @{thm abs_C})); |
|
111 |
val [f_S,g_S] = map (cterm_of @{theory}) (OldTerm.term_vars (prop_of @{thm abs_S})); |
|
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improvements to abstraction, ensuring more re-use of abstraction functions
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112 |
|
24827 | 113 |
(*FIXME: requires more use of cterm constructors*) |
114 |
fun abstract ct = |
|
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115 |
let |
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116 |
val thy = theory_of_cterm ct |
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Catch exceptions arising during the abstraction operation.
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117 |
val Abs(x,_,body) = term_of ct |
35963 | 118 |
val Type(@{type_name fun}, [xT,bodyT]) = typ_of (ctyp_of_term ct) |
24827 | 119 |
val cxT = ctyp_of thy xT and cbodyT = ctyp_of thy bodyT |
27184 | 120 |
fun makeK() = instantiate' [SOME cxT, SOME cbodyT] [SOME (cterm_of thy body)] @{thm abs_K} |
24827 | 121 |
in |
122 |
case body of |
|
123 |
Const _ => makeK() |
|
124 |
| Free _ => makeK() |
|
125 |
| Var _ => makeK() (*though Var isn't expected*) |
|
27184 | 126 |
| Bound 0 => instantiate' [SOME cxT] [] @{thm abs_I} (*identity: I*) |
24827 | 127 |
| rator$rand => |
27184 | 128 |
if loose_bvar1 (rator,0) then (*C or S*) |
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129 |
if loose_bvar1 (rand,0) then (*S*) |
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130 |
let val crator = cterm_of thy (Abs(x,xT,rator)) |
8f29fed3dc9a
ResAxioms.cnf_axiom/cnf_rules_pairs: pass explicit theory context;
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parents:
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diff
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131 |
val crand = cterm_of thy (Abs(x,xT,rand)) |
27184 | 132 |
val abs_S' = cterm_instantiate [(f_S,crator),(g_S,crand)] @{thm abs_S} |
133 |
val (_,rhs) = Thm.dest_equals (cprop_of abs_S') |
|
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ResAxioms.cnf_axiom/cnf_rules_pairs: pass explicit theory context;
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parents:
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134 |
in |
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ResAxioms.cnf_axiom/cnf_rules_pairs: pass explicit theory context;
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135 |
Thm.transitive abs_S' (Conv.binop_conv abstract rhs) |
8f29fed3dc9a
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136 |
end |
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137 |
else (*C*) |
8f29fed3dc9a
ResAxioms.cnf_axiom/cnf_rules_pairs: pass explicit theory context;
wenzelm
parents:
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changeset
|
138 |
let val crator = cterm_of thy (Abs(x,xT,rator)) |
27184 | 139 |
val abs_C' = cterm_instantiate [(f_C,crator),(g_C,cterm_of thy rand)] @{thm abs_C} |
140 |
val (_,rhs) = Thm.dest_equals (cprop_of abs_C') |
|
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ResAxioms.cnf_axiom/cnf_rules_pairs: pass explicit theory context;
wenzelm
parents:
27174
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141 |
in |
8f29fed3dc9a
ResAxioms.cnf_axiom/cnf_rules_pairs: pass explicit theory context;
wenzelm
parents:
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142 |
Thm.transitive abs_C' (Conv.fun_conv (Conv.arg_conv abstract) rhs) |
8f29fed3dc9a
ResAxioms.cnf_axiom/cnf_rules_pairs: pass explicit theory context;
wenzelm
parents:
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|
143 |
end |
27184 | 144 |
else if loose_bvar1 (rand,0) then (*B or eta*) |
36945 | 145 |
if rand = Bound 0 then Thm.eta_conversion ct |
27179
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ResAxioms.cnf_axiom/cnf_rules_pairs: pass explicit theory context;
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parents:
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146 |
else (*B*) |
8f29fed3dc9a
ResAxioms.cnf_axiom/cnf_rules_pairs: pass explicit theory context;
wenzelm
parents:
27174
diff
changeset
|
147 |
let val crand = cterm_of thy (Abs(x,xT,rand)) |
8f29fed3dc9a
ResAxioms.cnf_axiom/cnf_rules_pairs: pass explicit theory context;
wenzelm
parents:
27174
diff
changeset
|
148 |
val crator = cterm_of thy rator |
27184 | 149 |
val abs_B' = cterm_instantiate [(f_B,crator),(g_B,crand)] @{thm abs_B} |
150 |
val (_,rhs) = Thm.dest_equals (cprop_of abs_B') |
|
37349 | 151 |
in Thm.transitive abs_B' (Conv.arg_conv abstract rhs) end |
27179
8f29fed3dc9a
ResAxioms.cnf_axiom/cnf_rules_pairs: pass explicit theory context;
wenzelm
parents:
27174
diff
changeset
|
152 |
else makeK() |
37349 | 153 |
| _ => raise Fail "abstract: Bad term" |
24827 | 154 |
end; |
20863
4ee61dbf192d
improvements to abstraction, ensuring more re-use of abstraction functions
paulson
parents:
20789
diff
changeset
|
155 |
|
37349 | 156 |
(* Traverse a theorem, remplacing lambda-abstractions with combinators. *) |
157 |
fun do_introduce_combinators ct = |
|
37416
d5ac8280497e
no point in introducing combinators for inlined Skolem functions
blanchet
parents:
37410
diff
changeset
|
158 |
if is_quasi_lambda_free (term_of ct) then |
37349 | 159 |
Thm.reflexive ct |
160 |
else case term_of ct of |
|
161 |
Abs _ => |
|
162 |
let |
|
163 |
val (cv, cta) = Thm.dest_abs NONE ct |
|
164 |
val (v, _) = dest_Free (term_of cv) |
|
165 |
val u_th = do_introduce_combinators cta |
|
166 |
val cu = Thm.rhs_of u_th |
|
167 |
val comb_eq = abstract (Thm.cabs cv cu) |
|
168 |
in Thm.transitive (Thm.abstract_rule v cv u_th) comb_eq end |
|
169 |
| _ $ _ => |
|
170 |
let val (ct1, ct2) = Thm.dest_comb ct in |
|
171 |
Thm.combination (do_introduce_combinators ct1) |
|
172 |
(do_introduce_combinators ct2) |
|
173 |
end |
|
174 |
||
175 |
fun introduce_combinators th = |
|
37416
d5ac8280497e
no point in introducing combinators for inlined Skolem functions
blanchet
parents:
37410
diff
changeset
|
176 |
if is_quasi_lambda_free (prop_of th) then |
37349 | 177 |
th |
24827 | 178 |
else |
37349 | 179 |
let |
180 |
val th = Drule.eta_contraction_rule th |
|
181 |
val eqth = do_introduce_combinators (cprop_of th) |
|
182 |
in Thm.equal_elim eqth th end |
|
183 |
handle THM (msg, _, _) => |
|
184 |
(warning ("Error in the combinator translation of " ^ |
|
185 |
Display.string_of_thm_without_context th ^ |
|
186 |
"\nException message: " ^ msg ^ "."); |
|
187 |
(* A type variable of sort "{}" will make abstraction fail. *) |
|
188 |
TrueI) |
|
16009 | 189 |
|
190 |
(*cterms are used throughout for efficiency*) |
|
29064 | 191 |
val cTrueprop = Thm.cterm_of @{theory HOL} HOLogic.Trueprop; |
16009 | 192 |
|
193 |
(*Given an abstraction over n variables, replace the bound variables by free |
|
194 |
ones. Return the body, along with the list of free variables.*) |
|
20461
d689ad772b2c
skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents:
20457
diff
changeset
|
195 |
fun c_variant_abs_multi (ct0, vars) = |
16009 | 196 |
let val (cv,ct) = Thm.dest_abs NONE ct0 |
197 |
in c_variant_abs_multi (ct, cv::vars) end |
|
198 |
handle CTERM _ => (ct0, rev vars); |
|
199 |
||
37617
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
200 |
val skolem_id_def_raw = @{thms skolem_id_def_raw} |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
201 |
|
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
202 |
(* Given the definition of a Skolem function, return a theorem to replace |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
203 |
an existential formula by a use of that function. |
18141
89e2e8bed08f
Skolemization by inference, but not quite finished
paulson
parents:
18009
diff
changeset
|
204 |
Example: "EX x. x : A & x ~: B ==> sko A B : A & sko A B ~: B" [.] *) |
37617
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
205 |
fun skolem_theorem_of_def thy rhs0 = |
37399
34f080a12063
proper polymorphic Skolemization of uncached facts + synchronization of caching and relevance filter
blanchet
parents:
37349
diff
changeset
|
206 |
let |
37617
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
207 |
val rhs = rhs0 |> Type.legacy_freeze_thaw |> #1 |> Thm.cterm_of thy |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
208 |
val rhs' = rhs |> Thm.dest_comb |> snd |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
209 |
val (ch, frees) = c_variant_abs_multi (rhs', []) |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
210 |
val (hilbert, cabs) = ch |> Thm.dest_comb |>> term_of |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
211 |
val T = |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
212 |
case hilbert of |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
213 |
Const (@{const_name Eps}, Type (@{type_name fun}, [_, T])) => T |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
214 |
| _ => raise TERM ("skolem_theorem_of_def: expected \"Eps\"", [hilbert]) |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
215 |
val cex = Thm.cterm_of thy (HOLogic.exists_const T) |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
216 |
val ex_tm = Thm.capply cTrueprop (Thm.capply cex cabs) |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
217 |
and conc = |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
218 |
Drule.list_comb (rhs, frees) |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
219 |
|> Drule.beta_conv cabs |> Thm.capply cTrueprop |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
220 |
fun tacf [prem] = |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
221 |
rewrite_goals_tac skolem_id_def_raw |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
222 |
THEN rtac ((prem |> rewrite_rule skolem_id_def_raw) |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
223 |
RS @{thm someI_ex}) 1 |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
224 |
in |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
225 |
Goal.prove_internal [ex_tm] conc tacf |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
226 |
|> forall_intr_list frees |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
227 |
|> Thm.forall_elim_vars 0 (*Introduce Vars, but don't discharge defs.*) |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
228 |
|> Thm.varifyT_global |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
229 |
end |
24742
73b8b42a36b6
removal of some "ref"s from res_axioms.ML; a side-effect is that the ordering
paulson
parents:
24669
diff
changeset
|
230 |
|
20863
4ee61dbf192d
improvements to abstraction, ensuring more re-use of abstraction functions
paulson
parents:
20789
diff
changeset
|
231 |
(*Converts an Isabelle theorem (intro, elim or simp format, even higher-order) into NNF.*) |
24937
340523598914
context-based treatment of generalization; also handling TFrees in axiom clauses
paulson
parents:
24854
diff
changeset
|
232 |
fun to_nnf th ctxt0 = |
27179
8f29fed3dc9a
ResAxioms.cnf_axiom/cnf_rules_pairs: pass explicit theory context;
wenzelm
parents:
27174
diff
changeset
|
233 |
let val th1 = th |> transform_elim |> zero_var_indexes |
32262 | 234 |
val ((_, [th2]), ctxt) = Variable.import true [th1] ctxt0 |
37540
48273d1ea331
better eta-expansion in Sledgehammer's clausification;
blanchet
parents:
37518
diff
changeset
|
235 |
val th3 = th2 |> Conv.fconv_rule Object_Logic.atomize |
48273d1ea331
better eta-expansion in Sledgehammer's clausification;
blanchet
parents:
37518
diff
changeset
|
236 |
|> extensionalize |
48273d1ea331
better eta-expansion in Sledgehammer's clausification;
blanchet
parents:
37518
diff
changeset
|
237 |
|> Meson.make_nnf ctxt |
24937
340523598914
context-based treatment of generalization; also handling TFrees in axiom clauses
paulson
parents:
24854
diff
changeset
|
238 |
in (th3, ctxt) end; |
16009 | 239 |
|
37349 | 240 |
(*** Blacklisting (more in "Sledgehammer_Fact_Filter") ***) |
25007 | 241 |
|
37348 | 242 |
val max_lambda_nesting = 3 |
27184 | 243 |
|
37348 | 244 |
fun term_has_too_many_lambdas max (t1 $ t2) = |
245 |
exists (term_has_too_many_lambdas max) [t1, t2] |
|
246 |
| term_has_too_many_lambdas max (Abs (_, _, t)) = |
|
247 |
max = 0 orelse term_has_too_many_lambdas (max - 1) t |
|
248 |
| term_has_too_many_lambdas _ _ = false |
|
25007 | 249 |
|
37348 | 250 |
fun is_formula_type T = (T = HOLogic.boolT orelse T = propT) |
25007 | 251 |
|
37348 | 252 |
(* Don't count nested lambdas at the level of formulas, since they are |
253 |
quantifiers. *) |
|
254 |
fun formula_has_too_many_lambdas Ts (Abs (_, T, t)) = |
|
255 |
formula_has_too_many_lambdas (T :: Ts) t |
|
256 |
| formula_has_too_many_lambdas Ts t = |
|
257 |
if is_formula_type (fastype_of1 (Ts, t)) then |
|
258 |
exists (formula_has_too_many_lambdas Ts) (#2 (strip_comb t)) |
|
259 |
else |
|
260 |
term_has_too_many_lambdas max_lambda_nesting t |
|
25007 | 261 |
|
37348 | 262 |
(* The max apply depth of any "metis" call in "Metis_Examples" (on 31-10-2007) |
263 |
was 11. *) |
|
264 |
val max_apply_depth = 15 |
|
27184 | 265 |
|
37348 | 266 |
fun apply_depth (f $ t) = Int.max (apply_depth f, apply_depth t + 1) |
267 |
| apply_depth (Abs (_, _, t)) = apply_depth t |
|
268 |
| apply_depth _ = 0 |
|
25256
fe467fdf129a
Catch exceptions arising during the abstraction operation.
paulson
parents:
25243
diff
changeset
|
269 |
|
37348 | 270 |
fun is_formula_too_complex t = |
271 |
apply_depth t > max_apply_depth orelse Meson.too_many_clauses NONE t orelse |
|
272 |
formula_has_too_many_lambdas [] t |
|
27184 | 273 |
|
25243 | 274 |
fun is_strange_thm th = |
275 |
case head_of (concl_of th) of |
|
35963 | 276 |
Const (a, _) => (a <> @{const_name Trueprop} andalso |
277 |
a <> @{const_name "=="}) |
|
25243 | 278 |
| _ => false; |
279 |
||
37348 | 280 |
fun is_theorem_bad_for_atps thm = |
281 |
let val t = prop_of thm in |
|
282 |
is_formula_too_complex t orelse exists_type type_has_topsort t orelse |
|
283 |
is_strange_thm thm |
|
284 |
end |
|
25243 | 285 |
|
35963 | 286 |
(* FIXME: put other record thms here, or declare as "no_atp" *) |
37616
c8d2d84d6011
always perform relevance filtering on original formulas
blanchet
parents:
37584
diff
changeset
|
287 |
(* FIXME: move to "Sledgehammer_Fact_Filter" *) |
25007 | 288 |
val multi_base_blacklist = |
35963 | 289 |
["defs", "select_defs", "update_defs", "induct", "inducts", "split", "splits", |
290 |
"split_asm", "cases", "ext_cases"]; |
|
25007 | 291 |
|
27184 | 292 |
(*Skolemize a named theorem, with Skolem functions as additional premises.*) |
37617
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
293 |
fun skolemize_theorem thy th = |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
294 |
if member (op =) multi_base_blacklist |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
295 |
(Long_Name.base_name (Thm.get_name_hint th)) orelse |
37348 | 296 |
is_theorem_bad_for_atps th then |
37345
4402a2bfa204
make Sledgehammer's "add:" and "del:" syntax work better in the presence of aliases;
blanchet
parents:
37332
diff
changeset
|
297 |
[] |
27184 | 298 |
else |
299 |
let |
|
36603
d5d6111761a6
renamed Variable.thm_context to Variable.global_thm_context to emphasize that this is not the real thing;
wenzelm
parents:
36492
diff
changeset
|
300 |
val ctxt0 = Variable.global_thm_context th |
37349 | 301 |
val (nnfth, ctxt) = to_nnf th ctxt0 |
37617
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
302 |
val sko_ths = map (skolem_theorem_of_def thy) (assume_skolem_funs nnfth) |
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
303 |
val (cnfs, ctxt) = Meson.make_cnf sko_ths nnfth ctxt |
37349 | 304 |
in |
305 |
cnfs |> map introduce_combinators |
|
306 |
|> Variable.export ctxt ctxt0 |
|
307 |
|> Meson.finish_cnf |
|
37617
f73cd4069f69
always perform "inline" skolemization, polymorphism or not, Skolem cache or not
blanchet
parents:
37616
diff
changeset
|
308 |
|> map Thm.close_derivation |
37349 | 309 |
end |
310 |
handle THM _ => [] |
|
27184 | 311 |
|
36228
df47dc6c0e03
got rid of somewhat pointless "pairname" function in Sledgehammer
blanchet
parents:
36106
diff
changeset
|
312 |
(* Convert Isabelle theorems into axiom clauses. *) |
37618
fa57a87f92a0
get rid of Skolem cache by performing CNF-conversion after fact selection
blanchet
parents:
37617
diff
changeset
|
313 |
(* FIXME: is transfer necessary? *) |
fa57a87f92a0
get rid of Skolem cache by performing CNF-conversion after fact selection
blanchet
parents:
37617
diff
changeset
|
314 |
fun cnf_axiom thy = skolemize_theorem thy o Thm.transfer thy |
15347 | 315 |
|
18141
89e2e8bed08f
Skolemization by inference, but not quite finished
paulson
parents:
18009
diff
changeset
|
316 |
|
22471 | 317 |
(**** Translate a set of theorems into CNF ****) |
15347 | 318 |
|
21290
33b6bb5d6ab8
Improvement to classrel clauses: now outputs the minimum needed.
paulson
parents:
21254
diff
changeset
|
319 |
(*The combination of rev and tail recursion preserves the original order*) |
37416
d5ac8280497e
no point in introducing combinators for inlined Skolem functions
blanchet
parents:
37410
diff
changeset
|
320 |
fun cnf_rules_pairs thy = |
d5ac8280497e
no point in introducing combinators for inlined Skolem functions
blanchet
parents:
37410
diff
changeset
|
321 |
let |
37500
7587b6e63454
thread original theorem along with CNF theorem, as a step toward killing the Skolem cache
blanchet
parents:
37498
diff
changeset
|
322 |
fun do_one _ [] = [] |
7587b6e63454
thread original theorem along with CNF theorem, as a step toward killing the Skolem cache
blanchet
parents:
37498
diff
changeset
|
323 |
| do_one ((name, k), th) (cls :: clss) = |
37620
537beae999d7
remove obsolete component of CNF clause tuple (and reorder it)
blanchet
parents:
37618
diff
changeset
|
324 |
((name, k), cls) :: do_one ((name, k + 1), th) clss |
37500
7587b6e63454
thread original theorem along with CNF theorem, as a step toward killing the Skolem cache
blanchet
parents:
37498
diff
changeset
|
325 |
fun do_all pairs [] = pairs |
7587b6e63454
thread original theorem along with CNF theorem, as a step toward killing the Skolem cache
blanchet
parents:
37498
diff
changeset
|
326 |
| do_all pairs ((name, th) :: ths) = |
37416
d5ac8280497e
no point in introducing combinators for inlined Skolem functions
blanchet
parents:
37410
diff
changeset
|
327 |
let |
37500
7587b6e63454
thread original theorem along with CNF theorem, as a step toward killing the Skolem cache
blanchet
parents:
37498
diff
changeset
|
328 |
val new_pairs = do_one ((name, 0), th) (cnf_axiom thy th) |
37570 | 329 |
handle THM _ => [] |
37500
7587b6e63454
thread original theorem along with CNF theorem, as a step toward killing the Skolem cache
blanchet
parents:
37498
diff
changeset
|
330 |
in do_all (new_pairs @ pairs) ths end |
7587b6e63454
thread original theorem along with CNF theorem, as a step toward killing the Skolem cache
blanchet
parents:
37498
diff
changeset
|
331 |
in do_all [] o rev end |
19353 | 332 |
|
19196
62ee8c10d796
Added functions to retrieve local and global atpset rules.
mengj
parents:
19175
diff
changeset
|
333 |
|
21999
0cf192e489e2
improvements to proof reconstruction. Some files loaded in a different order
paulson
parents:
21900
diff
changeset
|
334 |
(*** Converting a subgoal into negated conjecture clauses. ***) |
0cf192e489e2
improvements to proof reconstruction. Some files loaded in a different order
paulson
parents:
21900
diff
changeset
|
335 |
|
32262 | 336 |
fun neg_skolemize_tac ctxt = |
37332
51d99ba6fc4d
don't raise Option.Option if assumptions contain schematic variables
blanchet
parents:
37171
diff
changeset
|
337 |
EVERY' [rtac ccontr, Object_Logic.atomize_prems_tac, Meson.skolemize_tac ctxt] |
36398
de8522a5cbae
make "neg_clausify" return a list of lists of clauses, so that it's possible to see which clause comes from which theorem
blanchet
parents:
36394
diff
changeset
|
338 |
|
35869
cac366550624
start work on direct proof reconstruction for Sledgehammer
blanchet
parents:
35865
diff
changeset
|
339 |
val neg_clausify = |
37349 | 340 |
single |
341 |
#> Meson.make_clauses_unsorted |
|
342 |
#> map introduce_combinators |
|
343 |
#> Meson.finish_cnf |
|
21999
0cf192e489e2
improvements to proof reconstruction. Some files loaded in a different order
paulson
parents:
21900
diff
changeset
|
344 |
|
32257
bad5a99c16d8
neg_conjecture_clauses, neg_clausify_tac: proper context, eliminated METAHYPS;
wenzelm
parents:
32231
diff
changeset
|
345 |
fun neg_conjecture_clauses ctxt st0 n = |
bad5a99c16d8
neg_conjecture_clauses, neg_clausify_tac: proper context, eliminated METAHYPS;
wenzelm
parents:
32231
diff
changeset
|
346 |
let |
37332
51d99ba6fc4d
don't raise Option.Option if assumptions contain schematic variables
blanchet
parents:
37171
diff
changeset
|
347 |
(* "Option" is thrown if the assumptions contain schematic variables. *) |
51d99ba6fc4d
don't raise Option.Option if assumptions contain schematic variables
blanchet
parents:
37171
diff
changeset
|
348 |
val st = Seq.hd (neg_skolemize_tac ctxt n st0) handle Option.Option => st0 |
51d99ba6fc4d
don't raise Option.Option if assumptions contain schematic variables
blanchet
parents:
37171
diff
changeset
|
349 |
val ({params, prems, ...}, _) = |
51d99ba6fc4d
don't raise Option.Option if assumptions contain schematic variables
blanchet
parents:
37171
diff
changeset
|
350 |
Subgoal.focus (Variable.set_body false ctxt) n st |
51d99ba6fc4d
don't raise Option.Option if assumptions contain schematic variables
blanchet
parents:
37171
diff
changeset
|
351 |
in (map neg_clausify prems, map (dest_Free o term_of o #2) params) end |
21999
0cf192e489e2
improvements to proof reconstruction. Some files loaded in a different order
paulson
parents:
21900
diff
changeset
|
352 |
|
27184 | 353 |
|
20461
d689ad772b2c
skolem_cache_thm: Drule.close_derivation on clauses preserves some space;
wenzelm
parents:
20457
diff
changeset
|
354 |
end; |