author | blanchet |
Thu, 12 May 2011 15:29:19 +0200 | |
changeset 42747 | f132d13fcf75 |
parent 42742 | 369dfc819056 |
child 42750 | c8b1d9ee3758 |
permissions | -rw-r--r-- |
40114 | 1 |
(* Title: HOL/Tools/Sledgehammer/sledgehammer_atp_translate.ML |
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Author: Fabian Immler, TU Muenchen |
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Author: Makarius |
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Author: Jasmin Blanchette, TU Muenchen |
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Translation of HOL to FOL for Sledgehammer. |
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*) |
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signature SLEDGEHAMMER_ATP_TRANSLATE = |
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sig |
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type 'a fo_term = 'a ATP_Problem.fo_term |
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type formula_kind = ATP_Problem.formula_kind |
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type 'a problem = 'a ATP_Problem.problem |
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type locality = Sledgehammer_Filter.locality |
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datatype polymorphism = Polymorphic | Monomorphic | Mangled_Monomorphic |
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datatype type_level = |
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All_Types | Nonmonotonic_Types | Finite_Types | Const_Arg_Types | No_Types |
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|
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datatype type_system = |
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Simple_Types of type_level | |
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Preds of polymorphism * type_level | |
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Tags of polymorphism * type_level |
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type translated_formula |
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|
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val readable_names : bool Config.T |
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val fact_prefix : string |
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val conjecture_prefix : string |
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val predicator_base : string |
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val explicit_app_base : string |
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val type_pred_base : string |
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val tff_type_prefix : string |
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val type_sys_from_string : string -> type_system |
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val polymorphism_of_type_sys : type_system -> polymorphism |
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val level_of_type_sys : type_system -> type_level |
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val is_type_sys_virtually_sound : type_system -> bool |
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val is_type_sys_fairly_sound : type_system -> bool |
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val num_atp_type_args : theory -> type_system -> string -> int |
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val unmangled_const : string -> string * string fo_term list |
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val translate_atp_fact : |
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Proof.context -> bool -> (string * locality) * thm |
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-> translated_formula option * ((string * locality) * thm) |
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val prepare_atp_problem : |
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Proof.context -> formula_kind -> formula_kind -> type_system -> bool |
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-> term list -> term |
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-> (translated_formula option * ((string * 'a) * thm)) list |
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-> string problem * string Symtab.table * int * int |
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* (string * 'a) list vector |
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val atp_problem_weights : string problem -> (string * real) list |
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end; |
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structure Sledgehammer_ATP_Translate : SLEDGEHAMMER_ATP_TRANSLATE = |
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struct |
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|
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open ATP_Problem |
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open Metis_Translate |
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open Sledgehammer_Util |
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open Sledgehammer_Filter |
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|
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(* experimental *) |
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val generate_useful_info = false |
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|
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(* Readable names are often much shorter, especially if types are mangled in |
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names. Also, the logic for generating legal SNARK sort names is only |
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implemented for readable names. Finally, readable names are, well, more |
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readable. For these reason, they are enabled by default. *) |
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val readable_names = |
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Attrib.setup_config_bool @{binding sledgehammer_atp_readable_names} (K true) |
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|
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val type_decl_prefix = "type_" |
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val sym_decl_prefix = "sym_" |
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val fact_prefix = "fact_" |
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val conjecture_prefix = "conj_" |
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val helper_prefix = "help_" |
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val class_rel_clause_prefix = "crel_"; |
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val arity_clause_prefix = "arity_" |
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val tfree_prefix = "tfree_" |
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val predicator_base = "hBOOL" |
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val explicit_app_base = "hAPP" |
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val type_pred_base = "is" |
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val tff_type_prefix = "ty_" |
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fun make_tff_type s = tff_type_prefix ^ ascii_of s |
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(* Freshness almost guaranteed! *) |
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val sledgehammer_weak_prefix = "Sledgehammer:" |
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datatype polymorphism = Polymorphic | Monomorphic | Mangled_Monomorphic |
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datatype type_level = |
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All_Types | Nonmonotonic_Types | Finite_Types | Const_Arg_Types | No_Types |
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datatype type_system = |
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Simple_Types of type_level | |
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Preds of polymorphism * type_level | |
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Tags of polymorphism * type_level |
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|
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fun try_unsuffixes ss s = |
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fold (fn s' => fn NONE => try (unsuffix s') s | some => some) ss NONE |
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|
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fun type_sys_from_string s = |
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(case try (unprefix "poly_") s of |
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SOME s => (SOME Polymorphic, s) |
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| NONE => |
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case try (unprefix "mono_") s of |
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SOME s => (SOME Monomorphic, s) |
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| NONE => |
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case try (unprefix "mangled_") s of |
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SOME s => (SOME Mangled_Monomorphic, s) |
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| NONE => (NONE, s)) |
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||> (fn s => |
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(* "_query" and "_bang" are for the ASCII-challenged Mirabelle. *) |
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case try_unsuffixes ["?", "_query"] s of |
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SOME s => (Nonmonotonic_Types, s) |
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| NONE => |
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case try_unsuffixes ["!", "_bang"] s of |
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118 |
SOME s => (Finite_Types, s) |
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119 |
| NONE => (All_Types, s)) |
42722 | 120 |
|> (fn (poly, (level, core)) => |
121 |
case (core, (poly, level)) of |
|
122 |
("simple_types", (NONE, level)) => Simple_Types level |
|
123 |
| ("preds", (SOME poly, level)) => Preds (poly, level) |
|
124 |
| ("tags", (SOME poly, level)) => Tags (poly, level) |
|
125 |
| ("args", (SOME poly, All_Types (* naja *))) => |
|
126 |
Preds (poly, Const_Arg_Types) |
|
127 |
| ("erased", (NONE, All_Types (* naja *))) => |
|
128 |
Preds (Polymorphic, No_Types) |
|
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129 |
| _ => error ("Unknown type system: " ^ quote s ^ ".")) |
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130 |
|
42722 | 131 |
fun polymorphism_of_type_sys (Simple_Types _) = Mangled_Monomorphic |
42613
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132 |
| polymorphism_of_type_sys (Preds (poly, _)) = poly |
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133 |
| polymorphism_of_type_sys (Tags (poly, _)) = poly |
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134 |
|
42722 | 135 |
fun level_of_type_sys (Simple_Types level) = level |
42613
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|
136 |
| level_of_type_sys (Preds (_, level)) = level |
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137 |
| level_of_type_sys (Tags (_, level)) = level |
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|
138 |
|
42687 | 139 |
fun is_type_level_virtually_sound level = |
140 |
level = All_Types orelse level = Nonmonotonic_Types |
|
42613
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141 |
val is_type_sys_virtually_sound = |
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|
142 |
is_type_level_virtually_sound o level_of_type_sys |
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|
143 |
|
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|
144 |
fun is_type_level_fairly_sound level = |
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145 |
is_type_level_virtually_sound level orelse level = Finite_Types |
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|
146 |
val is_type_sys_fairly_sound = is_type_level_fairly_sound o level_of_type_sys |
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|
147 |
|
42687 | 148 |
fun is_type_level_partial level = |
149 |
level = Nonmonotonic_Types orelse level = Finite_Types |
|
150 |
||
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151 |
fun formula_map f (AQuant (q, xs, phi)) = AQuant (q, xs, formula_map f phi) |
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|
152 |
| formula_map f (AConn (c, phis)) = AConn (c, map (formula_map f) phis) |
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153 |
| formula_map f (AAtom tm) = AAtom (f tm) |
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|
154 |
|
42680 | 155 |
fun formula_fold pos f = |
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156 |
let |
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|
157 |
fun aux pos (AQuant (_, _, phi)) = aux pos phi |
42680 | 158 |
| aux pos (AConn (ANot, [phi])) = aux (Option.map not pos) phi |
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|
159 |
| aux pos (AConn (AImplies, [phi1, phi2])) = |
42680 | 160 |
aux (Option.map not pos) phi1 #> aux pos phi2 |
161 |
| aux pos (AConn (AAnd, phis)) = fold (aux pos) phis |
|
162 |
| aux pos (AConn (AOr, phis)) = fold (aux pos) phis |
|
163 |
| aux _ (AConn (_, phis)) = fold (aux NONE) phis |
|
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164 |
| aux pos (AAtom tm) = f pos tm |
42680 | 165 |
in aux (SOME pos) end |
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|
166 |
|
40114 | 167 |
type translated_formula = |
38752
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|
168 |
{name: string, |
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|
169 |
locality: locality, |
42525
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|
170 |
kind: formula_kind, |
42562 | 171 |
combformula: (name, typ, combterm) formula, |
172 |
atomic_types: typ list} |
|
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|
173 |
|
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|
174 |
fun update_combformula f ({name, locality, kind, combformula, atomic_types} |
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175 |
: translated_formula) = |
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|
176 |
{name = name, locality = locality, kind = kind, combformula = f combformula, |
42562 | 177 |
atomic_types = atomic_types} : translated_formula |
42542
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|
178 |
|
42558
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|
179 |
fun fact_lift f ({combformula, ...} : translated_formula) = f combformula |
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|
180 |
|
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|
181 |
val boring_consts = [explicit_app_base, @{const_name Metis.fequal}] |
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|
182 |
|
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|
183 |
fun should_omit_type_args type_sys s = |
42589
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|
184 |
s <> type_pred_base andalso s <> type_tag_name andalso |
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|
185 |
(s = @{const_name HOL.eq} orelse level_of_type_sys type_sys = No_Types orelse |
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|
186 |
(case type_sys of |
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|
187 |
Tags (_, All_Types) => true |
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|
188 |
| _ => polymorphism_of_type_sys type_sys <> Mangled_Monomorphic andalso |
9f7c48463645
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|
189 |
member (op =) boring_consts s)) |
42677
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|
190 |
|
42589
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changeset
|
191 |
datatype type_arg_policy = No_Type_Args | Explicit_Type_Args | Mangled_Type_Args |
41136
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changeset
|
192 |
|
42589
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changeset
|
193 |
fun general_type_arg_policy type_sys = |
9f7c48463645
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|
194 |
if level_of_type_sys type_sys = No_Types then |
9f7c48463645
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|
195 |
No_Type_Args |
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|
196 |
else if polymorphism_of_type_sys type_sys = Mangled_Monomorphic then |
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|
197 |
Mangled_Type_Args |
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changeset
|
198 |
else |
9f7c48463645
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parents:
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changeset
|
199 |
Explicit_Type_Args |
42563 | 200 |
|
42524 | 201 |
fun type_arg_policy type_sys s = |
42572
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changeset
|
202 |
if should_omit_type_args type_sys s then No_Type_Args |
42563 | 203 |
else general_type_arg_policy type_sys |
42227
662b50b7126f
if "monomorphize" is enabled, mangle the type information in the names by default
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parents:
42180
diff
changeset
|
204 |
|
41136
30bedf58b177
implemented new type system encoding "overload_args", which is more lightweight than "const_args" (the unsound default) and hopefully almost as sound
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parents:
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diff
changeset
|
205 |
fun num_atp_type_args thy type_sys s = |
42557
ae0deb39a254
fixed min-arity computation when "explicit_apply" is specified
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parents:
42556
diff
changeset
|
206 |
if type_arg_policy type_sys s = Explicit_Type_Args then num_type_args thy s |
ae0deb39a254
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parents:
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changeset
|
207 |
else 0 |
41136
30bedf58b177
implemented new type system encoding "overload_args", which is more lightweight than "const_args" (the unsound default) and hopefully almost as sound
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parents:
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changeset
|
208 |
|
42353
7797efa897a1
correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
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parents:
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diff
changeset
|
209 |
fun atp_type_literals_for_types type_sys kind Ts = |
42589
9f7c48463645
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parents:
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changeset
|
210 |
if level_of_type_sys type_sys = No_Types then |
42353
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parents:
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diff
changeset
|
211 |
[] |
7797efa897a1
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parents:
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diff
changeset
|
212 |
else |
7797efa897a1
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blanchet
parents:
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diff
changeset
|
213 |
Ts |> type_literals_for_types |
7797efa897a1
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changeset
|
214 |
|> filter (fn TyLitVar _ => kind <> Conjecture |
7797efa897a1
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parents:
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diff
changeset
|
215 |
| TyLitFree _ => kind = Conjecture) |
41137
8b634031b2a5
implemented "no_types" encoding, which is too unsound to be useful but can come in handy for evaluations
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parents:
41136
diff
changeset
|
216 |
|
42709
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
217 |
fun mk_anot phi = AConn (ANot, [phi]) |
38282
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changeset
|
218 |
fun mk_aconn c phi1 phi2 = AConn (c, [phi1, phi2]) |
42534
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changeset
|
219 |
fun mk_aconns c phis = |
46e690db16b8
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changeset
|
220 |
let val (phis', phi') = split_last phis in |
46e690db16b8
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changeset
|
221 |
fold_rev (mk_aconn c) phis' phi' |
46e690db16b8
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changeset
|
222 |
end |
38282
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move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
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parents:
diff
changeset
|
223 |
fun mk_ahorn [] phi = phi |
42534
46e690db16b8
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parents:
42533
diff
changeset
|
224 |
| mk_ahorn phis psi = AConn (AImplies, [mk_aconns AAnd phis, psi]) |
42522
413b56894f82
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blanchet
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42521
diff
changeset
|
225 |
fun mk_aquant _ [] phi = phi |
413b56894f82
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42521
diff
changeset
|
226 |
| mk_aquant q xs (phi as AQuant (q', xs', phi')) = |
413b56894f82
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42521
diff
changeset
|
227 |
if q = q' then AQuant (q, xs @ xs', phi') else AQuant (q, xs, phi) |
413b56894f82
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parents:
42521
diff
changeset
|
228 |
| mk_aquant q xs phi = AQuant (q, xs, phi) |
38282
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parents:
diff
changeset
|
229 |
|
42522
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset
|
230 |
fun close_universally atom_vars phi = |
41145
a5ee3b8e5a90
improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
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parents:
41140
diff
changeset
|
231 |
let |
a5ee3b8e5a90
improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
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parents:
41140
diff
changeset
|
232 |
fun formula_vars bounds (AQuant (_, xs, phi)) = |
42526 | 233 |
formula_vars (map fst xs @ bounds) phi |
41145
a5ee3b8e5a90
improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
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parents:
41140
diff
changeset
|
234 |
| formula_vars bounds (AConn (_, phis)) = fold (formula_vars bounds) phis |
42522
413b56894f82
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blanchet
parents:
42521
diff
changeset
|
235 |
| formula_vars bounds (AAtom tm) = |
42526 | 236 |
union (op =) (atom_vars tm [] |
237 |
|> filter_out (member (op =) bounds o fst)) |
|
42522
413b56894f82
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blanchet
parents:
42521
diff
changeset
|
238 |
in mk_aquant AForall (formula_vars [] phi []) phi end |
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
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parents:
42521
diff
changeset
|
239 |
|
42531
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|
240 |
fun combterm_vars (CombApp (tm1, tm2)) = fold combterm_vars [tm1, tm2] |
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changeset
|
241 |
| combterm_vars (CombConst _) = I |
42574 | 242 |
| combterm_vars (CombVar (name, T)) = insert (op =) (name, SOME T) |
42674 | 243 |
fun close_combformula_universally phi = close_universally combterm_vars phi |
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|
244 |
|
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|
245 |
fun term_vars (ATerm (name as (s, _), tms)) = |
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|
246 |
is_atp_variable s ? insert (op =) (name, NONE) |
42526 | 247 |
#> fold term_vars tms |
42674 | 248 |
fun close_formula_universally phi = close_universally term_vars phi |
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|
249 |
|
42562 | 250 |
fun fo_term_from_typ (Type (s, Ts)) = |
251 |
ATerm (`make_fixed_type_const s, map fo_term_from_typ Ts) |
|
252 |
| fo_term_from_typ (TFree (s, _)) = |
|
253 |
ATerm (`make_fixed_type_var s, []) |
|
254 |
| fo_term_from_typ (TVar ((x as (s, _)), _)) = |
|
255 |
ATerm ((make_schematic_type_var x, s), []) |
|
256 |
||
257 |
(* This shouldn't clash with anything else. *) |
|
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|
258 |
val mangled_type_sep = "\000" |
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|
259 |
|
42562 | 260 |
fun generic_mangled_type_name f (ATerm (name, [])) = f name |
261 |
| generic_mangled_type_name f (ATerm (name, tys)) = |
|
262 |
f name ^ "(" ^ commas (map (generic_mangled_type_name f) tys) ^ ")" |
|
263 |
val mangled_type_name = |
|
264 |
fo_term_from_typ |
|
265 |
#> (fn ty => (make_tff_type (generic_mangled_type_name fst ty), |
|
266 |
generic_mangled_type_name snd ty)) |
|
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|
267 |
|
42574 | 268 |
fun generic_mangled_type_suffix f g Ts = |
42542
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|
269 |
fold_rev (curry (op ^) o g o prefix mangled_type_sep |
42574 | 270 |
o generic_mangled_type_name f) Ts "" |
42562 | 271 |
fun mangled_const_name T_args (s, s') = |
272 |
let val ty_args = map fo_term_from_typ T_args in |
|
273 |
(s ^ generic_mangled_type_suffix fst ascii_of ty_args, |
|
274 |
s' ^ generic_mangled_type_suffix snd I ty_args) |
|
275 |
end |
|
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|
276 |
|
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|
277 |
val parse_mangled_ident = |
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|
278 |
Scan.many1 (not o member (op =) ["(", ")", ","]) >> implode |
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|
279 |
|
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changeset
|
280 |
fun parse_mangled_type x = |
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|
281 |
(parse_mangled_ident |
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|
282 |
-- Scan.optional ($$ "(" |-- Scan.optional parse_mangled_types [] --| $$ ")") |
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|
283 |
[] >> ATerm) x |
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|
284 |
and parse_mangled_types x = |
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parents:
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changeset
|
285 |
(parse_mangled_type ::: Scan.repeat ($$ "," |-- parse_mangled_type)) x |
024920b65ce2
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changeset
|
286 |
|
024920b65ce2
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changeset
|
287 |
fun unmangled_type s = |
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|
288 |
s |> suffix ")" |> raw_explode |
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changeset
|
289 |
|> Scan.finite Symbol.stopper |
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changeset
|
290 |
(Scan.error (!! (fn _ => raise Fail ("unrecognized mangled type " ^ |
024920b65ce2
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changeset
|
291 |
quote s)) parse_mangled_type)) |
024920b65ce2
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|
292 |
|> fst |
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changeset
|
293 |
|
42561
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have properly type-instantiated helper facts (combinators and If)
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parents:
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changeset
|
294 |
val unmangled_const_name = space_explode mangled_type_sep #> hd |
42542
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changeset
|
295 |
fun unmangled_const s = |
024920b65ce2
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|
296 |
let val ss = space_explode mangled_type_sep s in |
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|
297 |
(hd ss, map unmangled_type (tl ss)) |
024920b65ce2
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changeset
|
298 |
end |
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changeset
|
299 |
|
42674 | 300 |
fun introduce_proxies tm = |
42568
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changeset
|
301 |
let |
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parents:
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changeset
|
302 |
fun aux top_level (CombApp (tm1, tm2)) = |
7b9801a34836
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parents:
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diff
changeset
|
303 |
CombApp (aux top_level tm1, aux false tm2) |
42574 | 304 |
| aux top_level (CombConst (name as (s, s'), T, T_args)) = |
42570
77f94ac04f32
cleanup proxification/unproxification and make sure that "num_atp_type_args" is called on the proxy in the reconstruction code, since "c_fequal" has one type arg but the unproxified equal has 0
blanchet
parents:
42569
diff
changeset
|
305 |
(case proxify_const s of |
42568
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parents:
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diff
changeset
|
306 |
SOME proxy_base => |
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parents:
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changeset
|
307 |
if top_level then |
7b9801a34836
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parents:
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diff
changeset
|
308 |
(case s of |
7b9801a34836
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parents:
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changeset
|
309 |
"c_False" => (tptp_false, s') |
7b9801a34836
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parents:
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changeset
|
310 |
| "c_True" => (tptp_true, s') |
7b9801a34836
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blanchet
parents:
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changeset
|
311 |
| _ => name, []) |
42569
5737947e4c77
make sure that fequal keeps its type arguments for mangled type systems
blanchet
parents:
42568
diff
changeset
|
312 |
else |
42574 | 313 |
(proxy_base |>> prefix const_prefix, T_args) |
314 |
| NONE => (name, T_args)) |
|
315 |
|> (fn (name, T_args) => CombConst (name, T, T_args)) |
|
42568
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changeset
|
316 |
| aux _ tm = tm |
42674 | 317 |
in aux true tm end |
42568
7b9801a34836
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blanchet
parents:
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diff
changeset
|
318 |
|
42562 | 319 |
fun combformula_from_prop thy eq_as_iff = |
38282
319c59682c51
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blanchet
parents:
diff
changeset
|
320 |
let |
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset
|
321 |
fun do_term bs t atomic_types = |
41140
9c68004b8c9d
added Sledgehammer support for higher-order propositional reasoning
blanchet
parents:
41138
diff
changeset
|
322 |
combterm_from_term thy bs (Envir.eta_contract t) |
42568
7b9801a34836
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blanchet
parents:
42566
diff
changeset
|
323 |
|>> (introduce_proxies #> AAtom) |
7b9801a34836
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blanchet
parents:
42566
diff
changeset
|
324 |
||> union (op =) atomic_types |
38282
319c59682c51
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blanchet
parents:
diff
changeset
|
325 |
fun do_quant bs q s T t' = |
38518
54727b44e277
handle bound name conflicts gracefully in FOF translation
blanchet
parents:
38496
diff
changeset
|
326 |
let val s = Name.variant (map fst bs) s in |
54727b44e277
handle bound name conflicts gracefully in FOF translation
blanchet
parents:
38496
diff
changeset
|
327 |
do_formula ((s, T) :: bs) t' |
42562 | 328 |
#>> mk_aquant q [(`make_bound_var s, SOME T)] |
38518
54727b44e277
handle bound name conflicts gracefully in FOF translation
blanchet
parents:
38496
diff
changeset
|
329 |
end |
38282
319c59682c51
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blanchet
parents:
diff
changeset
|
330 |
and do_conn bs c t1 t2 = |
319c59682c51
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blanchet
parents:
diff
changeset
|
331 |
do_formula bs t1 ##>> do_formula bs t2 |
42531
a462dbaa584f
added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents:
42530
diff
changeset
|
332 |
#>> uncurry (mk_aconn c) |
38282
319c59682c51
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blanchet
parents:
diff
changeset
|
333 |
and do_formula bs t = |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
334 |
case t of |
42531
a462dbaa584f
added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents:
42530
diff
changeset
|
335 |
@{const Not} $ t1 => do_formula bs t1 #>> mk_anot |
38282
319c59682c51
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blanchet
parents:
diff
changeset
|
336 |
| Const (@{const_name All}, _) $ Abs (s, T, t') => |
319c59682c51
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blanchet
parents:
diff
changeset
|
337 |
do_quant bs AForall s T t' |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
338 |
| Const (@{const_name Ex}, _) $ Abs (s, T, t') => |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
339 |
do_quant bs AExists s T t' |
38795
848be46708dc
formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents:
38786
diff
changeset
|
340 |
| @{const HOL.conj} $ t1 $ t2 => do_conn bs AAnd t1 t2 |
848be46708dc
formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents:
38786
diff
changeset
|
341 |
| @{const HOL.disj} $ t1 $ t2 => do_conn bs AOr t1 t2 |
38786
e46e7a9cb622
formerly unnamed infix impliciation now named HOL.implies
haftmann
parents:
38752
diff
changeset
|
342 |
| @{const HOL.implies} $ t1 $ t2 => do_conn bs AImplies t1 t2 |
38864
4abe644fcea5
formerly unnamed infix equality now named HOL.eq
haftmann
parents:
38829
diff
changeset
|
343 |
| Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _])) $ t1 $ t2 => |
41140
9c68004b8c9d
added Sledgehammer support for higher-order propositional reasoning
blanchet
parents:
41138
diff
changeset
|
344 |
if eq_as_iff then do_conn bs AIff t1 t2 else do_term bs t |
9c68004b8c9d
added Sledgehammer support for higher-order propositional reasoning
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parents:
41138
diff
changeset
|
345 |
| _ => do_term bs t |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
346 |
in do_formula [] end |
319c59682c51
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blanchet
parents:
diff
changeset
|
347 |
|
38618 | 348 |
val presimplify_term = prop_of o Meson.presimplify oo Skip_Proof.make_thm |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
349 |
|
41491 | 350 |
fun concealed_bound_name j = sledgehammer_weak_prefix ^ string_of_int j |
38282
319c59682c51
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blanchet
parents:
diff
changeset
|
351 |
fun conceal_bounds Ts t = |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
352 |
subst_bounds (map (Free o apfst concealed_bound_name) |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
353 |
(0 upto length Ts - 1 ~~ Ts), t) |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
354 |
fun reveal_bounds Ts = |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
355 |
subst_atomic (map (fn (j, T) => (Free (concealed_bound_name j, T), Bound j)) |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
356 |
(0 upto length Ts - 1 ~~ Ts)) |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
357 |
|
42747
f132d13fcf75
use the same code for extensionalization in Metis and Sledgehammer and generalize that code so that it gracefully handles negations (e.g. negated conjecture), formulas of the form (%x. t) = u, etc.
blanchet
parents:
42742
diff
changeset
|
358 |
fun extensionalize_term ctxt t = |
f132d13fcf75
use the same code for extensionalization in Metis and Sledgehammer and generalize that code so that it gracefully handles negations (e.g. negated conjecture), formulas of the form (%x. t) = u, etc.
blanchet
parents:
42742
diff
changeset
|
359 |
let val thy = Proof_Context.theory_of ctxt in |
f132d13fcf75
use the same code for extensionalization in Metis and Sledgehammer and generalize that code so that it gracefully handles negations (e.g. negated conjecture), formulas of the form (%x. t) = u, etc.
blanchet
parents:
42742
diff
changeset
|
360 |
t |> cterm_of thy |> Meson.extensionalize_conv ctxt |
f132d13fcf75
use the same code for extensionalization in Metis and Sledgehammer and generalize that code so that it gracefully handles negations (e.g. negated conjecture), formulas of the form (%x. t) = u, etc.
blanchet
parents:
42742
diff
changeset
|
361 |
|> prop_of |> Logic.dest_equals |> snd |
f132d13fcf75
use the same code for extensionalization in Metis and Sledgehammer and generalize that code so that it gracefully handles negations (e.g. negated conjecture), formulas of the form (%x. t) = u, etc.
blanchet
parents:
42742
diff
changeset
|
362 |
end |
38608
01ed56c46259
beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents:
38606
diff
changeset
|
363 |
|
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
364 |
fun introduce_combinators_in_term ctxt kind t = |
42361 | 365 |
let val thy = Proof_Context.theory_of ctxt in |
38491
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
366 |
if Meson.is_fol_term thy t then |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
367 |
t |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
368 |
else |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
369 |
let |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
370 |
fun aux Ts t = |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
371 |
case t of |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
372 |
@{const Not} $ t1 => @{const Not} $ aux Ts t1 |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
373 |
| (t0 as Const (@{const_name All}, _)) $ Abs (s, T, t') => |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
374 |
t0 $ Abs (s, T, aux (T :: Ts) t') |
38652
e063be321438
perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents:
38618
diff
changeset
|
375 |
| (t0 as Const (@{const_name All}, _)) $ t1 => |
e063be321438
perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents:
38618
diff
changeset
|
376 |
aux Ts (t0 $ eta_expand Ts t1 1) |
38491
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
377 |
| (t0 as Const (@{const_name Ex}, _)) $ Abs (s, T, t') => |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
378 |
t0 $ Abs (s, T, aux (T :: Ts) t') |
38652
e063be321438
perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents:
38618
diff
changeset
|
379 |
| (t0 as Const (@{const_name Ex}, _)) $ t1 => |
e063be321438
perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents:
38618
diff
changeset
|
380 |
aux Ts (t0 $ eta_expand Ts t1 1) |
38795
848be46708dc
formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents:
38786
diff
changeset
|
381 |
| (t0 as @{const HOL.conj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2 |
848be46708dc
formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents:
38786
diff
changeset
|
382 |
| (t0 as @{const HOL.disj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2 |
38786
e46e7a9cb622
formerly unnamed infix impliciation now named HOL.implies
haftmann
parents:
38752
diff
changeset
|
383 |
| (t0 as @{const HOL.implies}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2 |
38864
4abe644fcea5
formerly unnamed infix equality now named HOL.eq
haftmann
parents:
38829
diff
changeset
|
384 |
| (t0 as Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _]))) |
38491
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
385 |
$ t1 $ t2 => |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
386 |
t0 $ aux Ts t1 $ aux Ts t2 |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
387 |
| _ => if not (exists_subterm (fn Abs _ => true | _ => false) t) then |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
388 |
t |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
389 |
else |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
390 |
t |> conceal_bounds Ts |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
391 |
|> Envir.eta_contract |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
392 |
|> cterm_of thy |
39890 | 393 |
|> Meson_Clausify.introduce_combinators_in_cterm |
38491
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
394 |
|> prop_of |> Logic.dest_equals |> snd |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
395 |
|> reveal_bounds Ts |
39370
f8292d3020db
use same hack as in "Async_Manager" to work around Proof General bug
blanchet
parents:
39005
diff
changeset
|
396 |
val (t, ctxt') = Variable.import_terms true [t] ctxt |>> the_single |
38491
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
397 |
in t |> aux [] |> singleton (Variable.export_terms ctxt' ctxt) end |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
398 |
handle THM _ => |
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
399 |
(* A type variable of sort "{}" will make abstraction fail. *) |
38613
4ca2cae2653f
use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents:
38610
diff
changeset
|
400 |
if kind = Conjecture then HOLogic.false_const |
4ca2cae2653f
use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents:
38610
diff
changeset
|
401 |
else HOLogic.true_const |
38491
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset
|
402 |
end |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
403 |
|
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
404 |
(* Metis's use of "resolve_tac" freezes the schematic variables. We simulate the |
42353
7797efa897a1
correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents:
42237
diff
changeset
|
405 |
same in Sledgehammer to prevent the discovery of unreplayable proofs. *) |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
406 |
fun freeze_term t = |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
407 |
let |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
408 |
fun aux (t $ u) = aux t $ aux u |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
409 |
| aux (Abs (s, T, t)) = Abs (s, T, aux t) |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
410 |
| aux (Var ((s, i), T)) = |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
411 |
Free (sledgehammer_weak_prefix ^ s ^ "_" ^ string_of_int i, T) |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
412 |
| aux t = t |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
413 |
in t |> exists_subterm is_Var t ? aux end |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
414 |
|
40204
da97d75e20e6
standardize on "fact" terminology (vs. "axiom" or "theorem") in Sledgehammer -- but keep "Axiom" in the lower-level "ATP_Problem" module
blanchet
parents:
40145
diff
changeset
|
415 |
(* making fact and conjecture formulas *) |
42640
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset
|
416 |
fun make_formula ctxt eq_as_iff presimp name loc kind t = |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
417 |
let |
42361 | 418 |
val thy = Proof_Context.theory_of ctxt |
38608
01ed56c46259
beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents:
38606
diff
changeset
|
419 |
val t = t |> Envir.beta_eta_contract |
38652
e063be321438
perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents:
38618
diff
changeset
|
420 |
|> transform_elim_term |
41211
1e2e16bc0077
no need to do a super-duper atomization if Metis fails afterwards anyway
blanchet
parents:
41199
diff
changeset
|
421 |
|> Object_Logic.atomize_term thy |
42563 | 422 |
val need_trueprop = (fastype_of t = @{typ bool}) |
38652
e063be321438
perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents:
38618
diff
changeset
|
423 |
val t = t |> need_trueprop ? HOLogic.mk_Trueprop |
42742
369dfc819056
unfold set constants in Sledgehammer/ATP as well if Metis does it too
blanchet
parents:
42734
diff
changeset
|
424 |
|> Raw_Simplifier.rewrite_term thy |
369dfc819056
unfold set constants in Sledgehammer/ATP as well if Metis does it too
blanchet
parents:
42734
diff
changeset
|
425 |
(Meson.unfold_set_const_simps ctxt) [] |
42747
f132d13fcf75
use the same code for extensionalization in Metis and Sledgehammer and generalize that code so that it gracefully handles negations (e.g. negated conjecture), formulas of the form (%x. t) = u, etc.
blanchet
parents:
42742
diff
changeset
|
426 |
|> extensionalize_term ctxt |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
427 |
|> presimp ? presimplify_term thy |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
428 |
|> perhaps (try (HOLogic.dest_Trueprop)) |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
429 |
|> introduce_combinators_in_term ctxt kind |
38613
4ca2cae2653f
use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents:
38610
diff
changeset
|
430 |
|> kind <> Axiom ? freeze_term |
42562 | 431 |
val (combformula, atomic_types) = |
432 |
combformula_from_prop thy eq_as_iff t [] |
|
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
433 |
in |
42640
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset
|
434 |
{name = name, locality = loc, kind = kind, combformula = combformula, |
42562 | 435 |
atomic_types = atomic_types} |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
436 |
end |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
437 |
|
42640
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset
|
438 |
fun make_fact ctxt keep_trivial eq_as_iff presimp ((name, loc), t) = |
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset
|
439 |
case (keep_trivial, make_formula ctxt eq_as_iff presimp name loc Axiom t) of |
41990
7f2793d51efc
add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents:
41770
diff
changeset
|
440 |
(false, {combformula = AAtom (CombConst (("c_True", _), _, _)), ...}) => |
7f2793d51efc
add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents:
41770
diff
changeset
|
441 |
NONE |
7f2793d51efc
add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents:
41770
diff
changeset
|
442 |
| (_, formula) => SOME formula |
42561
23ddc4e3d19c
have properly type-instantiated helper facts (combinators and If)
blanchet
parents:
42560
diff
changeset
|
443 |
|
42709
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
444 |
fun make_conjecture ctxt prem_kind ts = |
38613
4ca2cae2653f
use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents:
38610
diff
changeset
|
445 |
let val last = length ts - 1 in |
42709
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
446 |
map2 (fn j => fn t => |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
447 |
let |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
448 |
val (kind, maybe_negate) = |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
449 |
if j = last then |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
450 |
(Conjecture, I) |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
451 |
else |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
452 |
(prem_kind, |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
453 |
if prem_kind = Conjecture then update_combformula mk_anot |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
454 |
else I) |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
455 |
in |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
456 |
make_formula ctxt true true (string_of_int j) Chained kind t |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
457 |
|> maybe_negate |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
458 |
end) |
38613
4ca2cae2653f
use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents:
38610
diff
changeset
|
459 |
(0 upto last) ts |
4ca2cae2653f
use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents:
38610
diff
changeset
|
460 |
end |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
461 |
|
42682
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
462 |
(** Finite and infinite type inference **) |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
463 |
|
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
464 |
(* Finite types such as "unit", "bool", "bool * bool", and "bool => bool" are |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
465 |
dangerous because their "exhaust" properties can easily lead to unsound ATP |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
466 |
proofs. On the other hand, all HOL infinite types can be given the same |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
467 |
models in first-order logic (via Löwenheim-Skolem). *) |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
468 |
|
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
469 |
fun should_encode_type _ _ All_Types _ = true |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
470 |
| should_encode_type ctxt _ Finite_Types T = is_type_surely_finite ctxt T |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
471 |
| should_encode_type _ nonmono_Ts Nonmonotonic_Types T = |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
472 |
exists (curry Type.raw_instance T) nonmono_Ts |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
473 |
| should_encode_type _ _ _ _ = false |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
474 |
|
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
475 |
fun should_predicate_on_type ctxt nonmono_Ts (Preds (_, level)) T = |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
476 |
should_encode_type ctxt nonmono_Ts level T |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
477 |
| should_predicate_on_type _ _ _ _ = false |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
478 |
|
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
479 |
fun should_tag_with_type ctxt nonmono_Ts (Tags (_, level)) T = |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
480 |
should_encode_type ctxt nonmono_Ts level T |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
481 |
| should_tag_with_type _ _ _ _ = false |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
482 |
|
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
483 |
val homo_infinite_T = @{typ ind} (* any infinite type *) |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
484 |
|
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
485 |
fun homogenized_type ctxt nonmono_Ts level T = |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
486 |
if should_encode_type ctxt nonmono_Ts level T then T else homo_infinite_T |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
487 |
|
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
488 |
(** "hBOOL" and "hAPP" **) |
41313
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
489 |
|
42574 | 490 |
type sym_info = |
42563 | 491 |
{pred_sym : bool, min_ary : int, max_ary : int, typ : typ option} |
492 |
||
42574 | 493 |
fun add_combterm_syms_to_table explicit_apply = |
42558
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
494 |
let |
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
495 |
fun aux top_level tm = |
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
496 |
let val (head, args) = strip_combterm_comb tm in |
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
497 |
(case head of |
42563 | 498 |
CombConst ((s, _), T, _) => |
42558
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
499 |
if String.isPrefix bound_var_prefix s then |
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
500 |
I |
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
501 |
else |
42563 | 502 |
let val ary = length args in |
42558
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
503 |
Symtab.map_default |
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
504 |
(s, {pred_sym = true, |
42563 | 505 |
min_ary = if explicit_apply then 0 else ary, |
506 |
max_ary = 0, typ = SOME T}) |
|
507 |
(fn {pred_sym, min_ary, max_ary, typ} => |
|
42558
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
508 |
{pred_sym = pred_sym andalso top_level, |
42563 | 509 |
min_ary = Int.min (ary, min_ary), |
510 |
max_ary = Int.max (ary, max_ary), |
|
511 |
typ = if typ = SOME T then typ else NONE}) |
|
42558
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
512 |
end |
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
513 |
| _ => I) |
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
514 |
#> fold (aux false) args |
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
515 |
end |
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
516 |
in aux true end |
42674 | 517 |
fun add_fact_syms_to_table explicit_apply = |
42680 | 518 |
fact_lift (formula_fold true (K (add_combterm_syms_to_table explicit_apply))) |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
519 |
|
42675 | 520 |
val default_sym_table_entries : (string * sym_info) list = |
42563 | 521 |
[("equal", {pred_sym = true, min_ary = 2, max_ary = 2, typ = NONE}), |
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset
|
522 |
(make_fixed_const predicator_base, |
42563 | 523 |
{pred_sym = true, min_ary = 1, max_ary = 1, typ = NONE})] @ |
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset
|
524 |
([tptp_false, tptp_true] |
42563 | 525 |
|> map (rpair {pred_sym = true, min_ary = 0, max_ary = 0, typ = NONE})) |
41140
9c68004b8c9d
added Sledgehammer support for higher-order propositional reasoning
blanchet
parents:
41138
diff
changeset
|
526 |
|
42544
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
527 |
fun sym_table_for_facts explicit_apply facts = |
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset
|
528 |
Symtab.empty |> fold Symtab.default default_sym_table_entries |
42574 | 529 |
|> fold (add_fact_syms_to_table explicit_apply) facts |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
530 |
|
42558
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
531 |
fun min_arity_of sym_tab s = |
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
532 |
case Symtab.lookup sym_tab s of |
42574 | 533 |
SOME ({min_ary, ...} : sym_info) => min_ary |
42558
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
534 |
| NONE => |
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
535 |
case strip_prefix_and_unascii const_prefix s of |
42547
b5eec0c99528
fixed arity of special constants if "explicit_apply" is set
blanchet
parents:
42546
diff
changeset
|
536 |
SOME s => |
42570
77f94ac04f32
cleanup proxification/unproxification and make sure that "num_atp_type_args" is called on the proxy in the reconstruction code, since "c_fequal" has one type arg but the unproxified equal has 0
blanchet
parents:
42569
diff
changeset
|
537 |
let val s = s |> unmangled_const_name |> invert_const in |
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset
|
538 |
if s = predicator_base then 1 |
42547
b5eec0c99528
fixed arity of special constants if "explicit_apply" is set
blanchet
parents:
42546
diff
changeset
|
539 |
else if s = explicit_app_base then 2 |
b5eec0c99528
fixed arity of special constants if "explicit_apply" is set
blanchet
parents:
42546
diff
changeset
|
540 |
else if s = type_pred_base then 1 |
42557
ae0deb39a254
fixed min-arity computation when "explicit_apply" is specified
blanchet
parents:
42556
diff
changeset
|
541 |
else 0 |
42547
b5eec0c99528
fixed arity of special constants if "explicit_apply" is set
blanchet
parents:
42546
diff
changeset
|
542 |
end |
42544
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
543 |
| NONE => 0 |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
544 |
|
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
545 |
(* True if the constant ever appears outside of the top-level position in |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
546 |
literals, or if it appears with different arities (e.g., because of different |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
547 |
type instantiations). If false, the constant always receives all of its |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
548 |
arguments and is used as a predicate. *) |
42558
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
549 |
fun is_pred_sym sym_tab s = |
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
550 |
case Symtab.lookup sym_tab s of |
42574 | 551 |
SOME ({pred_sym, min_ary, max_ary, ...} : sym_info) => |
552 |
pred_sym andalso min_ary = max_ary |
|
42558
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset
|
553 |
| NONE => false |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
554 |
|
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset
|
555 |
val predicator_combconst = |
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset
|
556 |
CombConst (`make_fixed_const predicator_base, @{typ "bool => bool"}, []) |
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset
|
557 |
fun predicator tm = CombApp (predicator_combconst, tm) |
42542
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset
|
558 |
|
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset
|
559 |
fun introduce_predicators_in_combterm sym_tab tm = |
42542
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset
|
560 |
case strip_combterm_comb tm of |
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset
|
561 |
(CombConst ((s, _), _, _), _) => |
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset
|
562 |
if is_pred_sym sym_tab s then tm else predicator tm |
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset
|
563 |
| _ => predicator tm |
42542
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset
|
564 |
|
42544
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
565 |
fun list_app head args = fold (curry (CombApp o swap)) args head |
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
566 |
|
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
567 |
fun explicit_app arg head = |
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
568 |
let |
42562 | 569 |
val head_T = combtyp_of head |
42693
3c2baf9b3c61
reverted 6efda6167e5d because unsound -- Vampire found a counterexample
blanchet
parents:
42691
diff
changeset
|
570 |
val (arg_T, res_T) = dest_funT head_T |
42544
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
571 |
val explicit_app = |
42562 | 572 |
CombConst (`make_fixed_const explicit_app_base, head_T --> head_T, |
42693
3c2baf9b3c61
reverted 6efda6167e5d because unsound -- Vampire found a counterexample
blanchet
parents:
42691
diff
changeset
|
573 |
[arg_T, res_T]) |
42544
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
574 |
in list_app explicit_app [head, arg] end |
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
575 |
fun list_explicit_app head args = fold explicit_app args head |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
576 |
|
42565
93f58e6a6f3e
proper handling of partially applied proxy symbols
blanchet
parents:
42564
diff
changeset
|
577 |
fun introduce_explicit_apps_in_combterm sym_tab = |
42544
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
578 |
let |
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
579 |
fun aux tm = |
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
580 |
case strip_combterm_comb tm of |
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
581 |
(head as CombConst ((s, _), _, _), args) => |
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
582 |
args |> map aux |
42557
ae0deb39a254
fixed min-arity computation when "explicit_apply" is specified
blanchet
parents:
42556
diff
changeset
|
583 |
|> chop (min_arity_of sym_tab s) |
42544
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
584 |
|>> list_app head |
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
585 |
|-> list_explicit_app |
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
586 |
| (head, args) => list_explicit_app head (map aux args) |
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
587 |
in aux end |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
588 |
|
42701
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
589 |
fun impose_type_arg_policy_in_combterm ctxt nonmono_Ts type_sys = |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
590 |
let |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
591 |
fun aux (CombApp tmp) = CombApp (pairself aux tmp) |
42574 | 592 |
| aux (CombConst (name as (s, _), T, T_args)) = |
42701
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
593 |
let |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
594 |
val level = level_of_type_sys type_sys |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
595 |
val (T, T_args) = |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
596 |
(* Aggressively merge most "hAPPs" if the type system is unsound |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
597 |
anyway, by distinguishing overloads only on the homogenized |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
598 |
result type. *) |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
599 |
if s = const_prefix ^ explicit_app_base andalso |
42726
70fc448a1815
avoid "Empty" exception by making sure that a certain optimization only is attempted when it makes sense
blanchet
parents:
42722
diff
changeset
|
600 |
length T_args = 2 andalso |
42701
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
601 |
not (is_type_sys_virtually_sound type_sys) then |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
602 |
T_args |> map (homogenized_type ctxt nonmono_Ts level) |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
603 |
|> (fn Ts => let val T = hd Ts --> nth Ts 1 in |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
604 |
(T --> T, tl Ts) |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
605 |
end) |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
606 |
else |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
607 |
(T, T_args) |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
608 |
in |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
609 |
(case strip_prefix_and_unascii const_prefix s of |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
610 |
NONE => (name, T_args) |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
611 |
| SOME s'' => |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
612 |
let val s'' = invert_const s'' in |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
613 |
case type_arg_policy type_sys s'' of |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
614 |
No_Type_Args => (name, []) |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
615 |
| Explicit_Type_Args => (name, T_args) |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
616 |
| Mangled_Type_Args => (mangled_const_name T_args name, []) |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
617 |
end) |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
618 |
|> (fn (name, T_args) => CombConst (name, T, T_args)) |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
619 |
end |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
620 |
| aux tm = tm |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
621 |
in aux end |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
622 |
|
42701
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
623 |
fun repair_combterm ctxt nonmono_Ts type_sys sym_tab = |
42565
93f58e6a6f3e
proper handling of partially applied proxy symbols
blanchet
parents:
42564
diff
changeset
|
624 |
introduce_explicit_apps_in_combterm sym_tab |
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset
|
625 |
#> introduce_predicators_in_combterm sym_tab |
42701
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
626 |
#> impose_type_arg_policy_in_combterm ctxt nonmono_Ts type_sys |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
627 |
fun repair_fact ctxt nonmono_Ts type_sys sym_tab = |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
628 |
update_combformula (formula_map |
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
629 |
(repair_combterm ctxt nonmono_Ts type_sys sym_tab)) |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
630 |
|
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
631 |
(** Helper facts **) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
632 |
|
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
633 |
fun ti_ti_helper_fact () = |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
634 |
let |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
635 |
fun var s = ATerm (`I s, []) |
42589
9f7c48463645
restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents:
42586
diff
changeset
|
636 |
fun tag tm = ATerm (`make_fixed_const type_tag_name, [var "X", tm]) |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
637 |
in |
42612 | 638 |
Formula (helper_prefix ^ "ti_ti", Axiom, |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
639 |
AAtom (ATerm (`I "equal", [tag (tag (var "Y")), tag (var "Y")])) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
640 |
|> close_formula_universally, NONE, NONE) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
641 |
end |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
642 |
|
42574 | 643 |
fun helper_facts_for_sym ctxt type_sys (s, {typ, ...} : sym_info) = |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
644 |
case strip_prefix_and_unascii const_prefix s of |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
645 |
SOME mangled_s => |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
646 |
let |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
647 |
val thy = Proof_Context.theory_of ctxt |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
648 |
val unmangled_s = mangled_s |> unmangled_const_name |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
649 |
fun dub_and_inst c needs_some_types (th, j) = |
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
650 |
((c ^ "_" ^ string_of_int j ^ (if needs_some_types then "T" else ""), |
42640
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset
|
651 |
Chained), |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
652 |
let val t = th |> prop_of in |
42589
9f7c48463645
restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents:
42586
diff
changeset
|
653 |
t |> (general_type_arg_policy type_sys = Mangled_Type_Args andalso |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
654 |
not (null (Term.hidden_polymorphism t))) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
655 |
? (case typ of |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
656 |
SOME T => specialize_type thy (invert_const unmangled_s, T) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
657 |
| NONE => I) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
658 |
end) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
659 |
fun make_facts eq_as_iff = |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
660 |
map_filter (make_fact ctxt false eq_as_iff false) |
42589
9f7c48463645
restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents:
42586
diff
changeset
|
661 |
val has_some_types = is_type_sys_fairly_sound type_sys |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
662 |
in |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
663 |
metis_helpers |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
664 |
|> maps (fn (metis_s, (needs_some_types, ths)) => |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
665 |
if metis_s <> unmangled_s orelse |
42589
9f7c48463645
restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents:
42586
diff
changeset
|
666 |
(needs_some_types andalso not has_some_types) then |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
667 |
[] |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
668 |
else |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
669 |
ths ~~ (1 upto length ths) |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
670 |
|> map (dub_and_inst mangled_s needs_some_types) |
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
671 |
|> make_facts (not needs_some_types)) |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
672 |
end |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
673 |
| NONE => [] |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
674 |
fun helper_facts_for_sym_table ctxt type_sys sym_tab = |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
675 |
Symtab.fold_rev (append o helper_facts_for_sym ctxt type_sys) sym_tab [] |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
676 |
|
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
677 |
fun translate_atp_fact ctxt keep_trivial = |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
678 |
`(make_fact ctxt keep_trivial true true o apsnd prop_of) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
679 |
|
42709
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
680 |
fun translate_formulas ctxt prem_kind type_sys hyp_ts concl_t rich_facts = |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
681 |
let |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
682 |
val thy = Proof_Context.theory_of ctxt |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
683 |
val fact_ts = map (prop_of o snd o snd) rich_facts |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
684 |
val (facts, fact_names) = |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
685 |
rich_facts |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
686 |
|> map_filter (fn (NONE, _) => NONE |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
687 |
| (SOME fact, (name, _)) => SOME (fact, name)) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
688 |
|> ListPair.unzip |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
689 |
(* Remove existing facts from the conjecture, as this can dramatically |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
690 |
boost an ATP's performance (for some reason). *) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
691 |
val hyp_ts = hyp_ts |> filter_out (member (op aconv) fact_ts) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
692 |
val goal_t = Logic.list_implies (hyp_ts, concl_t) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
693 |
val all_ts = goal_t :: fact_ts |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
694 |
val subs = tfree_classes_of_terms all_ts |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
695 |
val supers = tvar_classes_of_terms all_ts |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
696 |
val tycons = type_consts_of_terms thy all_ts |
42709
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
697 |
val conjs = make_conjecture ctxt prem_kind (hyp_ts @ [concl_t]) |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
698 |
val (supers', arity_clauses) = |
42589
9f7c48463645
restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents:
42586
diff
changeset
|
699 |
if level_of_type_sys type_sys = No_Types then ([], []) |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
700 |
else make_arity_clauses thy tycons supers |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
701 |
val class_rel_clauses = make_class_rel_clauses thy subs supers' |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
702 |
in |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
703 |
(fact_names |> map single, (conjs, facts, class_rel_clauses, arity_clauses)) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
704 |
end |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
705 |
|
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
706 |
fun fo_literal_from_type_literal (TyLitVar (class, name)) = |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
707 |
(true, ATerm (class, [ATerm (name, [])])) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
708 |
| fo_literal_from_type_literal (TyLitFree (class, name)) = |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
709 |
(true, ATerm (class, [ATerm (name, [])])) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
710 |
|
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
711 |
fun formula_from_fo_literal (pos, t) = AAtom t |> not pos ? mk_anot |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
712 |
|
42701
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
713 |
fun type_pred_combatom ctxt nonmono_Ts type_sys T tm = |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
714 |
CombApp (CombConst (`make_fixed_const type_pred_base, T --> @{typ bool}, [T]), |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
715 |
tm) |
42701
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
716 |
|> impose_type_arg_policy_in_combterm ctxt nonmono_Ts type_sys |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
717 |
|> AAtom |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
718 |
|
42680 | 719 |
fun formula_from_combformula ctxt nonmono_Ts type_sys = |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
720 |
let |
42589
9f7c48463645
restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents:
42586
diff
changeset
|
721 |
fun tag_with_type type_sys T tm = |
9f7c48463645
restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents:
42586
diff
changeset
|
722 |
CombConst (`make_fixed_const type_tag_name, T --> T, [T]) |
42701
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
723 |
|> impose_type_arg_policy_in_combterm ctxt nonmono_Ts type_sys |
42589
9f7c48463645
restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents:
42586
diff
changeset
|
724 |
|> do_term true |
9f7c48463645
restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents:
42586
diff
changeset
|
725 |
|> (fn ATerm (s, tms) => ATerm (s, tms @ [tm])) |
9f7c48463645
restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents:
42586
diff
changeset
|
726 |
and do_term top_level u = |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
727 |
let |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
728 |
val (head, args) = strip_combterm_comb u |
42574 | 729 |
val (x, T_args) = |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
730 |
case head of |
42574 | 731 |
CombConst (name, _, T_args) => (name, T_args) |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
732 |
| CombVar (name, _) => (name, []) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
733 |
| CombApp _ => raise Fail "impossible \"CombApp\"" |
42574 | 734 |
val t = ATerm (x, map fo_term_from_typ T_args @ |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
735 |
map (do_term false) args) |
42574 | 736 |
val T = combtyp_of u |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
737 |
in |
42680 | 738 |
t |> (if not top_level andalso |
739 |
should_tag_with_type ctxt nonmono_Ts type_sys T then |
|
42589
9f7c48463645
restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents:
42586
diff
changeset
|
740 |
tag_with_type type_sys T |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
741 |
else |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
742 |
I) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
743 |
end |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
744 |
val do_bound_type = |
42682
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
745 |
case type_sys of |
42722 | 746 |
Simple_Types level => |
42682
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
747 |
SOME o mangled_type_name o homogenized_type ctxt nonmono_Ts level |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
748 |
| _ => K NONE |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
749 |
fun do_out_of_bound_type (s, T) = |
42680 | 750 |
if should_predicate_on_type ctxt nonmono_Ts type_sys T then |
42701
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
751 |
type_pred_combatom ctxt nonmono_Ts type_sys T (CombVar (s, T)) |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
752 |
|> do_formula |> SOME |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
753 |
else |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
754 |
NONE |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
755 |
and do_formula (AQuant (q, xs, phi)) = |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
756 |
AQuant (q, xs |> map (apsnd (fn NONE => NONE |
42574 | 757 |
| SOME T => do_bound_type T)), |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
758 |
(if q = AForall then mk_ahorn else fold_rev (mk_aconn AAnd)) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
759 |
(map_filter |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
760 |
(fn (_, NONE) => NONE |
42574 | 761 |
| (s, SOME T) => do_out_of_bound_type (s, T)) xs) |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
762 |
(do_formula phi)) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
763 |
| do_formula (AConn (c, phis)) = AConn (c, map do_formula phis) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
764 |
| do_formula (AAtom tm) = AAtom (do_term true tm) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
765 |
in do_formula end |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
766 |
|
42727
f365f5138771
ensure type class predicates are generated in symbol declarations (for "poly_preds" and similar)
blanchet
parents:
42726
diff
changeset
|
767 |
fun bound_atomic_types type_sys Ts = |
f365f5138771
ensure type class predicates are generated in symbol declarations (for "poly_preds" and similar)
blanchet
parents:
42726
diff
changeset
|
768 |
mk_ahorn (map (formula_from_fo_literal o fo_literal_from_type_literal) |
f365f5138771
ensure type class predicates are generated in symbol declarations (for "poly_preds" and similar)
blanchet
parents:
42726
diff
changeset
|
769 |
(atp_type_literals_for_types type_sys Axiom Ts)) |
f365f5138771
ensure type class predicates are generated in symbol declarations (for "poly_preds" and similar)
blanchet
parents:
42726
diff
changeset
|
770 |
|
42680 | 771 |
fun formula_for_fact ctxt nonmono_Ts type_sys |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
772 |
({combformula, atomic_types, ...} : translated_formula) = |
42727
f365f5138771
ensure type class predicates are generated in symbol declarations (for "poly_preds" and similar)
blanchet
parents:
42726
diff
changeset
|
773 |
combformula |
f365f5138771
ensure type class predicates are generated in symbol declarations (for "poly_preds" and similar)
blanchet
parents:
42726
diff
changeset
|
774 |
|> close_combformula_universally |
f365f5138771
ensure type class predicates are generated in symbol declarations (for "poly_preds" and similar)
blanchet
parents:
42726
diff
changeset
|
775 |
|> formula_from_combformula ctxt nonmono_Ts type_sys |
f365f5138771
ensure type class predicates are generated in symbol declarations (for "poly_preds" and similar)
blanchet
parents:
42726
diff
changeset
|
776 |
|> bound_atomic_types type_sys atomic_types |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
777 |
|> close_formula_universally |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
778 |
|
42640
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset
|
779 |
fun useful_isabelle_info s = SOME (ATerm ("[]", [ATerm ("isabelle_" ^ s, [])])) |
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset
|
780 |
|
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
781 |
(* Each fact is given a unique fact number to avoid name clashes (e.g., because |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
782 |
of monomorphization). The TPTP explicitly forbids name clashes, and some of |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
783 |
the remote provers might care. *) |
42680 | 784 |
fun formula_line_for_fact ctxt prefix nonmono_Ts type_sys |
42640
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset
|
785 |
(j, formula as {name, locality, kind, ...}) = |
42680 | 786 |
Formula (prefix ^ (if polymorphism_of_type_sys type_sys = Polymorphic then "" |
787 |
else string_of_int j ^ "_") ^ |
|
42647
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42646
diff
changeset
|
788 |
ascii_of name, |
42680 | 789 |
kind, formula_for_fact ctxt nonmono_Ts type_sys formula, NONE, |
42640
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset
|
790 |
if generate_useful_info then |
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset
|
791 |
case locality of |
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset
|
792 |
Intro => useful_isabelle_info "intro" |
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset
|
793 |
| Elim => useful_isabelle_info "elim" |
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset
|
794 |
| Simp => useful_isabelle_info "simp" |
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset
|
795 |
| _ => NONE |
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset
|
796 |
else |
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset
|
797 |
NONE) |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
798 |
|
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
799 |
fun formula_line_for_class_rel_clause (ClassRelClause {name, subclass, |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
800 |
superclass, ...}) = |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
801 |
let val ty_arg = ATerm (`I "T", []) in |
42577
78414ec6fa4e
made the format (TFF or FOF) of the TPTP problem a global argument of the problem again and have the ATPs report which formats they support
blanchet
parents:
42576
diff
changeset
|
802 |
Formula (class_rel_clause_prefix ^ ascii_of name, Axiom, |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
803 |
AConn (AImplies, [AAtom (ATerm (subclass, [ty_arg])), |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
804 |
AAtom (ATerm (superclass, [ty_arg]))]) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
805 |
|> close_formula_universally, NONE, NONE) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
806 |
end |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
807 |
|
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
808 |
fun fo_literal_from_arity_literal (TConsLit (c, t, args)) = |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
809 |
(true, ATerm (c, [ATerm (t, map (fn arg => ATerm (arg, [])) args)])) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
810 |
| fo_literal_from_arity_literal (TVarLit (c, sort)) = |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
811 |
(false, ATerm (c, [ATerm (sort, [])])) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
812 |
|
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
813 |
fun formula_line_for_arity_clause (ArityClause {name, conclLit, premLits, |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
814 |
...}) = |
42577
78414ec6fa4e
made the format (TFF or FOF) of the TPTP problem a global argument of the problem again and have the ATPs report which formats they support
blanchet
parents:
42576
diff
changeset
|
815 |
Formula (arity_clause_prefix ^ ascii_of name, Axiom, |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
816 |
mk_ahorn (map (formula_from_fo_literal o apfst not |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
817 |
o fo_literal_from_arity_literal) premLits) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
818 |
(formula_from_fo_literal |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
819 |
(fo_literal_from_arity_literal conclLit)) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
820 |
|> close_formula_universally, NONE, NONE) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
821 |
|
42680 | 822 |
fun formula_line_for_conjecture ctxt nonmono_Ts type_sys |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
823 |
({name, kind, combformula, ...} : translated_formula) = |
42577
78414ec6fa4e
made the format (TFF or FOF) of the TPTP problem a global argument of the problem again and have the ATPs report which formats they support
blanchet
parents:
42576
diff
changeset
|
824 |
Formula (conjecture_prefix ^ name, kind, |
42680 | 825 |
formula_from_combformula ctxt nonmono_Ts type_sys |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
826 |
(close_combformula_universally combformula) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
827 |
|> close_formula_universally, NONE, NONE) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
828 |
|
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
829 |
fun free_type_literals type_sys ({atomic_types, ...} : translated_formula) = |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
830 |
atomic_types |> atp_type_literals_for_types type_sys Conjecture |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
831 |
|> map fo_literal_from_type_literal |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
832 |
|
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
833 |
fun formula_line_for_free_type j lit = |
42577
78414ec6fa4e
made the format (TFF or FOF) of the TPTP problem a global argument of the problem again and have the ATPs report which formats they support
blanchet
parents:
42576
diff
changeset
|
834 |
Formula (tfree_prefix ^ string_of_int j, Hypothesis, |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
835 |
formula_from_fo_literal lit, NONE, NONE) |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
836 |
fun formula_lines_for_free_types type_sys facts = |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
837 |
let |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
838 |
val litss = map (free_type_literals type_sys) facts |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
839 |
val lits = fold (union (op =)) litss [] |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
840 |
in map2 formula_line_for_free_type (0 upto length lits - 1) lits end |
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
841 |
|
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
842 |
(** Symbol declarations **) |
42544
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
843 |
|
42677
25496cd3c199
monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents:
42675
diff
changeset
|
844 |
fun insert_type get_T x xs = |
25496cd3c199
monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents:
42675
diff
changeset
|
845 |
let val T = get_T x in |
25496cd3c199
monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents:
42675
diff
changeset
|
846 |
if exists (curry Type.raw_instance T o get_T) xs then xs |
25496cd3c199
monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents:
42675
diff
changeset
|
847 |
else x :: filter_out ((fn T' => Type.raw_instance (T', T)) o get_T) xs |
25496cd3c199
monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents:
42675
diff
changeset
|
848 |
end |
25496cd3c199
monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents:
42675
diff
changeset
|
849 |
|
42574 | 850 |
fun should_declare_sym type_sys pred_sym s = |
42542
024920b65ce2
perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents:
42541
diff
changeset
|
851 |
not (String.isPrefix bound_var_prefix s) andalso s <> "equal" andalso |
42645 | 852 |
not (String.isPrefix "$" s) andalso |
42722 | 853 |
((case type_sys of Simple_Types _ => true | _ => false) orelse not pred_sym) |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
854 |
|
42698
ffd1ae4ff5c6
help SOS by ensuring that typing information is marked as part of the conjecture + be more precise w.r.t. typedefs in monotonicity check
blanchet
parents:
42697
diff
changeset
|
855 |
fun sym_decl_table_for_facts type_sys repaired_sym_tab (conjs, facts) = |
42574 | 856 |
let |
42698
ffd1ae4ff5c6
help SOS by ensuring that typing information is marked as part of the conjecture + be more precise w.r.t. typedefs in monotonicity check
blanchet
parents:
42697
diff
changeset
|
857 |
fun add_combterm in_conj tm = |
42574 | 858 |
let val (head, args) = strip_combterm_comb tm in |
859 |
(case head of |
|
860 |
CombConst ((s, s'), T, T_args) => |
|
861 |
let val pred_sym = is_pred_sym repaired_sym_tab s in |
|
862 |
if should_declare_sym type_sys pred_sym s then |
|
42576
a8a80a2a34be
merge symbol declarations that are type-instances of each other -- useful for type system "Args true" with monomorphization turned off
blanchet
parents:
42575
diff
changeset
|
863 |
Symtab.map_default (s, []) |
42698
ffd1ae4ff5c6
help SOS by ensuring that typing information is marked as part of the conjecture + be more precise w.r.t. typedefs in monotonicity check
blanchet
parents:
42697
diff
changeset
|
864 |
(insert_type #3 (s', T_args, T, pred_sym, length args, |
ffd1ae4ff5c6
help SOS by ensuring that typing information is marked as part of the conjecture + be more precise w.r.t. typedefs in monotonicity check
blanchet
parents:
42697
diff
changeset
|
865 |
in_conj)) |
42574 | 866 |
else |
867 |
I |
|
868 |
end |
|
869 |
| _ => I) |
|
42698
ffd1ae4ff5c6
help SOS by ensuring that typing information is marked as part of the conjecture + be more precise w.r.t. typedefs in monotonicity check
blanchet
parents:
42697
diff
changeset
|
870 |
#> fold (add_combterm in_conj) args |
42574 | 871 |
end |
42698
ffd1ae4ff5c6
help SOS by ensuring that typing information is marked as part of the conjecture + be more precise w.r.t. typedefs in monotonicity check
blanchet
parents:
42697
diff
changeset
|
872 |
fun add_fact in_conj = |
ffd1ae4ff5c6
help SOS by ensuring that typing information is marked as part of the conjecture + be more precise w.r.t. typedefs in monotonicity check
blanchet
parents:
42697
diff
changeset
|
873 |
fact_lift (formula_fold true (K (add_combterm in_conj))) |
ffd1ae4ff5c6
help SOS by ensuring that typing information is marked as part of the conjecture + be more precise w.r.t. typedefs in monotonicity check
blanchet
parents:
42697
diff
changeset
|
874 |
in |
ffd1ae4ff5c6
help SOS by ensuring that typing information is marked as part of the conjecture + be more precise w.r.t. typedefs in monotonicity check
blanchet
parents:
42697
diff
changeset
|
875 |
Symtab.empty |
ffd1ae4ff5c6
help SOS by ensuring that typing information is marked as part of the conjecture + be more precise w.r.t. typedefs in monotonicity check
blanchet
parents:
42697
diff
changeset
|
876 |
|> is_type_sys_fairly_sound type_sys |
ffd1ae4ff5c6
help SOS by ensuring that typing information is marked as part of the conjecture + be more precise w.r.t. typedefs in monotonicity check
blanchet
parents:
42697
diff
changeset
|
877 |
? (fold (add_fact true) conjs #> fold (add_fact false) facts) |
ffd1ae4ff5c6
help SOS by ensuring that typing information is marked as part of the conjecture + be more precise w.r.t. typedefs in monotonicity check
blanchet
parents:
42697
diff
changeset
|
878 |
end |
42533 | 879 |
|
42677
25496cd3c199
monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents:
42675
diff
changeset
|
880 |
fun is_var_or_bound_var (CombConst ((s, _), _, _)) = |
25496cd3c199
monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents:
42675
diff
changeset
|
881 |
String.isPrefix bound_var_prefix s |
25496cd3c199
monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents:
42675
diff
changeset
|
882 |
| is_var_or_bound_var (CombVar _) = true |
25496cd3c199
monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents:
42675
diff
changeset
|
883 |
| is_var_or_bound_var _ = false |
25496cd3c199
monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents:
42675
diff
changeset
|
884 |
|
42685 | 885 |
(* This inference is described in section 2.3 of Claessen et al.'s "Sorting it |
886 |
out with monotonicity" paper presented at CADE 2011. *) |
|
42680 | 887 |
fun add_combterm_nonmonotonic_types _ (SOME false) _ = I |
888 |
| add_combterm_nonmonotonic_types ctxt _ |
|
889 |
(CombApp (CombApp (CombConst (("equal", _), Type (_, [T, _]), _), tm1), |
|
890 |
tm2)) = |
|
891 |
(exists is_var_or_bound_var [tm1, tm2] andalso |
|
892 |
not (is_type_surely_infinite ctxt T)) ? insert_type I T |
|
893 |
| add_combterm_nonmonotonic_types _ _ _ = I |
|
894 |
fun add_fact_nonmonotonic_types ctxt ({kind, combformula, ...} |
|
895 |
: translated_formula) = |
|
896 |
formula_fold (kind <> Conjecture) (add_combterm_nonmonotonic_types ctxt) |
|
897 |
combformula |
|
898 |
fun add_nonmonotonic_types_for_facts ctxt type_sys facts = |
|
899 |
level_of_type_sys type_sys = Nonmonotonic_Types |
|
42731
2490e5e2f3f5
gracefully declare fTrue and fFalse proxies' types if the constants only appear in the helpers
blanchet
parents:
42730
diff
changeset
|
900 |
? (fold (add_fact_nonmonotonic_types ctxt) facts |
2490e5e2f3f5
gracefully declare fTrue and fFalse proxies' types if the constants only appear in the helpers
blanchet
parents:
42730
diff
changeset
|
901 |
(* in case helper "True_or_False" is included *) |
2490e5e2f3f5
gracefully declare fTrue and fFalse proxies' types if the constants only appear in the helpers
blanchet
parents:
42730
diff
changeset
|
902 |
#> insert_type I @{typ bool}) |
42677
25496cd3c199
monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents:
42675
diff
changeset
|
903 |
|
42574 | 904 |
fun n_ary_strip_type 0 T = ([], T) |
905 |
| n_ary_strip_type n (Type (@{type_name fun}, [dom_T, ran_T])) = |
|
906 |
n_ary_strip_type (n - 1) ran_T |>> cons dom_T |
|
907 |
| n_ary_strip_type _ _ = raise Fail "unexpected non-function" |
|
42533 | 908 |
|
42698
ffd1ae4ff5c6
help SOS by ensuring that typing information is marked as part of the conjecture + be more precise w.r.t. typedefs in monotonicity check
blanchet
parents:
42697
diff
changeset
|
909 |
fun result_type_of_decl (_, _, T, _, ary, _) = n_ary_strip_type ary T |> snd |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
910 |
|
42698
ffd1ae4ff5c6
help SOS by ensuring that typing information is marked as part of the conjecture + be more precise w.r.t. typedefs in monotonicity check
blanchet
parents:
42697
diff
changeset
|
911 |
fun decl_line_for_sym s (s', _, T, pred_sym, ary, _) = |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
912 |
let val (arg_Ts, res_T) = n_ary_strip_type ary T in |
42612 | 913 |
Decl (sym_decl_prefix ^ s, (s, s'), map mangled_type_name arg_Ts, |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
914 |
if pred_sym then `I tptp_tff_bool_type else mangled_type_name res_T) |
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
915 |
end |
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
916 |
|
42592
fa2cf11d6351
beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents:
42589
diff
changeset
|
917 |
fun is_polymorphic_type T = fold_atyps (fn TVar _ => K true | _ => I) T false |
fa2cf11d6351
beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents:
42589
diff
changeset
|
918 |
|
42709
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
919 |
fun formula_line_for_sym_decl ctxt conj_sym_kind nonmono_Ts type_sys n s j |
42698
ffd1ae4ff5c6
help SOS by ensuring that typing information is marked as part of the conjecture + be more precise w.r.t. typedefs in monotonicity check
blanchet
parents:
42697
diff
changeset
|
920 |
(s', T_args, T, _, ary, in_conj) = |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
921 |
let |
42709
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
922 |
val (kind, maybe_negate) = |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
923 |
if in_conj then (conj_sym_kind, conj_sym_kind = Conjecture ? mk_anot) |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
924 |
else (Axiom, I) |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
925 |
val (arg_Ts, res_T) = n_ary_strip_type ary T |
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
926 |
val bound_names = |
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
927 |
1 upto length arg_Ts |> map (`I o make_bound_var o string_of_int) |
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
928 |
val bound_tms = |
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
929 |
bound_names ~~ arg_Ts |> map (fn (name, T) => CombConst (name, T, [])) |
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
930 |
val bound_Ts = |
42592
fa2cf11d6351
beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents:
42589
diff
changeset
|
931 |
arg_Ts |> map (fn T => if n > 1 orelse is_polymorphic_type T then SOME T |
fa2cf11d6351
beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents:
42589
diff
changeset
|
932 |
else NONE) |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
933 |
in |
42612 | 934 |
Formula (sym_decl_prefix ^ s ^ |
42709
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
935 |
(if n > 1 then "_" ^ string_of_int j else ""), kind, |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
936 |
CombConst ((s, s'), T, T_args) |
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
937 |
|> fold (curry (CombApp o swap)) bound_tms |
42701
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
938 |
|> type_pred_combatom ctxt nonmono_Ts type_sys res_T |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
939 |
|> mk_aquant AForall (bound_names ~~ bound_Ts) |
42680 | 940 |
|> formula_from_combformula ctxt nonmono_Ts type_sys |
42727
f365f5138771
ensure type class predicates are generated in symbol declarations (for "poly_preds" and similar)
blanchet
parents:
42726
diff
changeset
|
941 |
|> n > 1 ? bound_atomic_types type_sys (atyps_of T) |
42709
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
942 |
|> close_formula_universally |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
943 |
|> maybe_negate, |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
944 |
NONE, NONE) |
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
945 |
end |
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
946 |
|
42709
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
947 |
fun problem_lines_for_sym_decls ctxt conj_sym_kind nonmono_Ts type_sys |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
948 |
(s, decls) = |
42682
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
949 |
case type_sys of |
42722 | 950 |
Simple_Types _ => map (decl_line_for_sym s) decls |
42682
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
951 |
| _ => |
42574 | 952 |
let |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
953 |
val decls = |
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
954 |
case decls of |
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
955 |
decl :: (decls' as _ :: _) => |
42592
fa2cf11d6351
beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents:
42589
diff
changeset
|
956 |
let val T = result_type_of_decl decl in |
fa2cf11d6351
beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents:
42589
diff
changeset
|
957 |
if forall ((fn T' => Type.raw_instance (T', T)) |
fa2cf11d6351
beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents:
42589
diff
changeset
|
958 |
o result_type_of_decl) decls' then |
fa2cf11d6351
beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents:
42589
diff
changeset
|
959 |
[decl] |
fa2cf11d6351
beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents:
42589
diff
changeset
|
960 |
else |
fa2cf11d6351
beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents:
42589
diff
changeset
|
961 |
decls |
fa2cf11d6351
beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents:
42589
diff
changeset
|
962 |
end |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
963 |
| _ => decls |
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
964 |
val n = length decls |
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
965 |
val decls = |
42680 | 966 |
decls |> filter (should_predicate_on_type ctxt nonmono_Ts type_sys |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
967 |
o result_type_of_decl) |
42574 | 968 |
in |
42709
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
969 |
(0 upto length decls - 1, decls) |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
970 |
|-> map2 (formula_line_for_sym_decl ctxt conj_sym_kind nonmono_Ts type_sys |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
971 |
n s) |
42574 | 972 |
end |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
973 |
|
42709
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
974 |
fun problem_lines_for_sym_decl_table ctxt conj_sym_kind nonmono_Ts type_sys |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
975 |
sym_decl_tab = |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
976 |
Symtab.fold_rev (append o problem_lines_for_sym_decls ctxt conj_sym_kind |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
977 |
nonmono_Ts type_sys) |
42574 | 978 |
sym_decl_tab [] |
42543
f9d402d144d4
declare TFF types so that SNARK can be used with types
blanchet
parents:
42542
diff
changeset
|
979 |
|
f9d402d144d4
declare TFF types so that SNARK can be used with types
blanchet
parents:
42542
diff
changeset
|
980 |
fun add_tff_types_in_formula (AQuant (_, xs, phi)) = |
f9d402d144d4
declare TFF types so that SNARK can be used with types
blanchet
parents:
42542
diff
changeset
|
981 |
union (op =) (map_filter snd xs) #> add_tff_types_in_formula phi |
f9d402d144d4
declare TFF types so that SNARK can be used with types
blanchet
parents:
42542
diff
changeset
|
982 |
| add_tff_types_in_formula (AConn (_, phis)) = |
f9d402d144d4
declare TFF types so that SNARK can be used with types
blanchet
parents:
42542
diff
changeset
|
983 |
fold add_tff_types_in_formula phis |
f9d402d144d4
declare TFF types so that SNARK can be used with types
blanchet
parents:
42542
diff
changeset
|
984 |
| add_tff_types_in_formula (AAtom _) = I |
42539
f6ba908b8b27
generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents:
42538
diff
changeset
|
985 |
|
42562 | 986 |
fun add_tff_types_in_problem_line (Decl (_, _, arg_Ts, res_T)) = |
987 |
union (op =) (res_T :: arg_Ts) |
|
42577
78414ec6fa4e
made the format (TFF or FOF) of the TPTP problem a global argument of the problem again and have the ATPs report which formats they support
blanchet
parents:
42576
diff
changeset
|
988 |
| add_tff_types_in_problem_line (Formula (_, _, phi, _, _)) = |
42543
f9d402d144d4
declare TFF types so that SNARK can be used with types
blanchet
parents:
42542
diff
changeset
|
989 |
add_tff_types_in_formula phi |
f9d402d144d4
declare TFF types so that SNARK can be used with types
blanchet
parents:
42542
diff
changeset
|
990 |
|
f9d402d144d4
declare TFF types so that SNARK can be used with types
blanchet
parents:
42542
diff
changeset
|
991 |
fun tff_types_in_problem problem = |
f9d402d144d4
declare TFF types so that SNARK can be used with types
blanchet
parents:
42542
diff
changeset
|
992 |
fold (fold add_tff_types_in_problem_line o snd) problem [] |
f9d402d144d4
declare TFF types so that SNARK can be used with types
blanchet
parents:
42542
diff
changeset
|
993 |
|
42545 | 994 |
fun decl_line_for_tff_type (s, s') = |
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset
|
995 |
Decl (type_decl_prefix ^ ascii_of s, (s, s'), [], `I tptp_tff_type_of_types) |
42543
f9d402d144d4
declare TFF types so that SNARK can be used with types
blanchet
parents:
42542
diff
changeset
|
996 |
|
f9d402d144d4
declare TFF types so that SNARK can be used with types
blanchet
parents:
42542
diff
changeset
|
997 |
val type_declsN = "Types" |
42544
75cb06eee990
reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents:
42543
diff
changeset
|
998 |
val sym_declsN = "Symbol types" |
41157 | 999 |
val factsN = "Relevant facts" |
1000 |
val class_relsN = "Class relationships" |
|
42543
f9d402d144d4
declare TFF types so that SNARK can be used with types
blanchet
parents:
42542
diff
changeset
|
1001 |
val aritiesN = "Arities" |
41157 | 1002 |
val helpersN = "Helper facts" |
1003 |
val conjsN = "Conjectures" |
|
41313
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1004 |
val free_typesN = "Type variables" |
41157 | 1005 |
|
1006 |
fun offset_of_heading_in_problem _ [] j = j |
|
1007 |
| offset_of_heading_in_problem needle ((heading, lines) :: problem) j = |
|
1008 |
if heading = needle then j |
|
1009 |
else offset_of_heading_in_problem needle problem (j + length lines) |
|
1010 |
||
42709
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
1011 |
fun prepare_atp_problem ctxt conj_sym_kind prem_kind type_sys explicit_apply |
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
1012 |
hyp_ts concl_t facts = |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
1013 |
let |
41313
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1014 |
val (fact_names, (conjs, facts, class_rel_clauses, arity_clauses)) = |
42709
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
1015 |
translate_formulas ctxt prem_kind type_sys hyp_ts concl_t facts |
42563 | 1016 |
val sym_tab = conjs @ facts |> sym_table_for_facts explicit_apply |
42682
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
1017 |
val nonmono_Ts = |
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
1018 |
[] |> fold (add_nonmonotonic_types_for_facts ctxt type_sys) [facts, conjs] |
42701
500e4a88675e
reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents:
42700
diff
changeset
|
1019 |
val repair = repair_fact ctxt nonmono_Ts type_sys sym_tab |
42682
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
1020 |
val (conjs, facts) = (conjs, facts) |> pairself (map repair) |
42680 | 1021 |
val repaired_sym_tab = conjs @ facts |> sym_table_for_facts false |
42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset
|
1022 |
val helpers = |
42682
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
1023 |
repaired_sym_tab |> helper_facts_for_sym_table ctxt type_sys |> map repair |
42680 | 1024 |
val sym_decl_lines = |
42731
2490e5e2f3f5
gracefully declare fTrue and fFalse proxies' types if the constants only appear in the helpers
blanchet
parents:
42730
diff
changeset
|
1025 |
(conjs, helpers @ facts) |
42680 | 1026 |
|> sym_decl_table_for_facts type_sys repaired_sym_tab |
42709
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset
|
1027 |
|> problem_lines_for_sym_decl_table ctxt conj_sym_kind nonmono_Ts type_sys |
42522
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset
|
1028 |
(* Reordering these might confuse the proof reconstruction code or the SPASS |
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset
|
1029 |
Flotter hack. *) |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
1030 |
val problem = |
42561
23ddc4e3d19c
have properly type-instantiated helper facts (combinators and If)
blanchet
parents:
42560
diff
changeset
|
1031 |
[(sym_declsN, sym_decl_lines), |
42680 | 1032 |
(factsN, map (formula_line_for_fact ctxt fact_prefix nonmono_Ts type_sys) |
42180
a6c141925a8a
added monomorphization option to Sledgehammer ATPs -- this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset
|
1033 |
(0 upto length facts - 1 ~~ facts)), |
42545 | 1034 |
(class_relsN, map formula_line_for_class_rel_clause class_rel_clauses), |
1035 |
(aritiesN, map formula_line_for_arity_clause arity_clauses), |
|
42680 | 1036 |
(helpersN, map (formula_line_for_fact ctxt helper_prefix nonmono_Ts |
1037 |
type_sys) |
|
42563 | 1038 |
(0 upto length helpers - 1 ~~ helpers) |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
1039 |
|> (case type_sys of |
42589
9f7c48463645
restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents:
42586
diff
changeset
|
1040 |
Tags (Polymorphic, level) => |
42687 | 1041 |
is_type_level_partial level |
42589
9f7c48463645
restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents:
42586
diff
changeset
|
1042 |
? cons (ti_ti_helper_fact ()) |
42579
2552c09b1a72
implement the new ATP type system in Sledgehammer
blanchet
parents:
42577
diff
changeset
|
1043 |
| _ => I)), |
42680 | 1044 |
(conjsN, map (formula_line_for_conjecture ctxt nonmono_Ts type_sys) |
1045 |
conjs), |
|
42545 | 1046 |
(free_typesN, formula_lines_for_free_types type_sys (facts @ conjs))] |
42543
f9d402d144d4
declare TFF types so that SNARK can be used with types
blanchet
parents:
42542
diff
changeset
|
1047 |
val problem = |
42561
23ddc4e3d19c
have properly type-instantiated helper facts (combinators and If)
blanchet
parents:
42560
diff
changeset
|
1048 |
problem |
42682
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
1049 |
|> (case type_sys of |
42722 | 1050 |
Simple_Types _ => |
42561
23ddc4e3d19c
have properly type-instantiated helper facts (combinators and If)
blanchet
parents:
42560
diff
changeset
|
1051 |
cons (type_declsN, |
23ddc4e3d19c
have properly type-instantiated helper facts (combinators and If)
blanchet
parents:
42560
diff
changeset
|
1052 |
map decl_line_for_tff_type (tff_types_in_problem problem)) |
42682
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents:
42680
diff
changeset
|
1053 |
| _ => I) |
42646
4781fcd53572
replaced some Unsynchronized.refs with Config.Ts
blanchet
parents:
42645
diff
changeset
|
1054 |
val (problem, pool) = |
4781fcd53572
replaced some Unsynchronized.refs with Config.Ts
blanchet
parents:
42645
diff
changeset
|
1055 |
problem |> nice_atp_problem (Config.get ctxt readable_names) |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
1056 |
in |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
1057 |
(problem, |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
1058 |
case pool of SOME the_pool => snd the_pool | NONE => Symtab.empty, |
42585
723b9d1e8ba5
fixed embarrassing bug where conjecture and fact offsets were swapped
blanchet
parents:
42579
diff
changeset
|
1059 |
offset_of_heading_in_problem conjsN problem 0, |
42541
8938507b2054
move type declarations to the front, for TFF-compliance
blanchet
parents:
42540
diff
changeset
|
1060 |
offset_of_heading_in_problem factsN problem 0, |
41157 | 1061 |
fact_names |> Vector.fromList) |
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
1062 |
end |
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
1063 |
|
41313
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1064 |
(* FUDGE *) |
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
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parents:
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|
1065 |
val conj_weight = 0.0 |
41770 | 1066 |
val hyp_weight = 0.1 |
1067 |
val fact_min_weight = 0.2 |
|
41313
a96ac4d180b7
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parents:
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changeset
|
1068 |
val fact_max_weight = 1.0 |
42608
6ef61823b63b
make sure E type information constants are given a weight, even if they don't appear anywhere else
blanchet
parents:
42592
diff
changeset
|
1069 |
val type_info_default_weight = 0.8 |
41313
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
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diff
changeset
|
1070 |
|
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1071 |
fun add_term_weights weight (ATerm (s, tms)) = |
42734 | 1072 |
(not (is_atp_variable s) andalso s <> "equal" andalso |
1073 |
not (String.isPrefix "$" s)) ? Symtab.default (s, weight) |
|
41313
a96ac4d180b7
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parents:
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diff
changeset
|
1074 |
#> fold (add_term_weights weight) tms |
42577
78414ec6fa4e
made the format (TFF or FOF) of the TPTP problem a global argument of the problem again and have the ATPs report which formats they support
blanchet
parents:
42576
diff
changeset
|
1075 |
fun add_problem_line_weights weight (Formula (_, _, phi, _, _)) = |
42680 | 1076 |
formula_fold true (K (add_term_weights weight)) phi |
42528 | 1077 |
| add_problem_line_weights _ _ = I |
41313
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1078 |
|
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1079 |
fun add_conjectures_weights [] = I |
a96ac4d180b7
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blanchet
parents:
41211
diff
changeset
|
1080 |
| add_conjectures_weights conjs = |
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1081 |
let val (hyps, conj) = split_last conjs in |
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1082 |
add_problem_line_weights conj_weight conj |
a96ac4d180b7
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blanchet
parents:
41211
diff
changeset
|
1083 |
#> fold (add_problem_line_weights hyp_weight) hyps |
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1084 |
end |
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1085 |
|
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1086 |
fun add_facts_weights facts = |
a96ac4d180b7
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blanchet
parents:
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diff
changeset
|
1087 |
let |
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1088 |
val num_facts = length facts |
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1089 |
fun weight_of j = |
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1090 |
fact_min_weight + (fact_max_weight - fact_min_weight) * Real.fromInt j |
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1091 |
/ Real.fromInt num_facts |
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1092 |
in |
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1093 |
map weight_of (0 upto num_facts - 1) ~~ facts |
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1094 |
|> fold (uncurry add_problem_line_weights) |
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1095 |
end |
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1096 |
|
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1097 |
(* Weights are from 0.0 (most important) to 1.0 (least important). *) |
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1098 |
fun atp_problem_weights problem = |
42608
6ef61823b63b
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blanchet
parents:
42592
diff
changeset
|
1099 |
let val get = these o AList.lookup (op =) problem in |
6ef61823b63b
make sure E type information constants are given a weight, even if they don't appear anywhere else
blanchet
parents:
42592
diff
changeset
|
1100 |
Symtab.empty |
6ef61823b63b
make sure E type information constants are given a weight, even if they don't appear anywhere else
blanchet
parents:
42592
diff
changeset
|
1101 |
|> add_conjectures_weights (get free_typesN @ get conjsN) |
6ef61823b63b
make sure E type information constants are given a weight, even if they don't appear anywhere else
blanchet
parents:
42592
diff
changeset
|
1102 |
|> add_facts_weights (get factsN) |
6ef61823b63b
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blanchet
parents:
42592
diff
changeset
|
1103 |
|> fold (fold (add_problem_line_weights type_info_default_weight) o get) |
6ef61823b63b
make sure E type information constants are given a weight, even if they don't appear anywhere else
blanchet
parents:
42592
diff
changeset
|
1104 |
[sym_declsN, class_relsN, aritiesN] |
6ef61823b63b
make sure E type information constants are given a weight, even if they don't appear anywhere else
blanchet
parents:
42592
diff
changeset
|
1105 |
|> Symtab.dest |
6ef61823b63b
make sure E type information constants are given a weight, even if they don't appear anywhere else
blanchet
parents:
42592
diff
changeset
|
1106 |
|> sort (prod_ord Real.compare string_ord o pairself swap) |
6ef61823b63b
make sure E type information constants are given a weight, even if they don't appear anywhere else
blanchet
parents:
42592
diff
changeset
|
1107 |
end |
41313
a96ac4d180b7
optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset
|
1108 |
|
38282
319c59682c51
move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset
|
1109 |
end; |