src/HOL/Tools/Sledgehammer/sledgehammer_atp_translate.ML
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(*  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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  datatype type_thinness = Thin | Fat
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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 * type_thinness |
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    Tags of polymorphism * type_level * type_thinness
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  type translated_formula
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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 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 * int Symtab.table
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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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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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(* experimental *)
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val generate_useful_info = false
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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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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_thinness = Thin | Fat
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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 * type_thinness |
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  Tags of polymorphism * type_level * type_thinness
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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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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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              SOME s => (Finite_Types, s)
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            | NONE => (All_Types, s))
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  ||> apsnd (fn s =>
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                case try (unsuffix "_fat") s of
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                  SOME s => (Fat, s)
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                | NONE => (Thin, s))
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  |> (fn (poly, (level, (thinness, core))) =>
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         case (core, (poly, level, thinness)) of
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           ("simple_types", (NONE, level, Thin (* naja *))) =>
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           Simple_Types level
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         | ("preds", (SOME Polymorphic, level, thinness)) =>
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           if level = All_Types then Preds (Polymorphic, level, thinness)
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           else raise Same.SAME
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         | ("preds", (SOME poly, level, thinness)) =>
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           Preds (poly, level, thinness)
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         | ("tags", (SOME Polymorphic, level, thinness)) =>
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           if level = All_Types orelse level = Finite_Types then
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             Tags (Polymorphic, level, thinness)
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           else
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             raise Same.SAME
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         | ("tags", (SOME poly, level, thinness)) =>
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           Tags (poly, level, thinness)
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         | ("args", (SOME poly, All_Types (* naja *), Thin)) =>
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           Preds (poly, Const_Arg_Types, Thin)
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         | ("erased", (NONE, All_Types (* naja *), Thin)) =>
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           Preds (Polymorphic, No_Types, Thin)
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         | _ => raise Same.SAME)
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  handle Same.SAME => error ("Unknown type system: " ^ quote s ^ ".")
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fun polymorphism_of_type_sys (Simple_Types _) = Mangled_Monomorphic
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  | polymorphism_of_type_sys (Preds (poly, _, _)) = poly
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  | polymorphism_of_type_sys (Tags (poly, _, _)) = poly
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fun level_of_type_sys (Simple_Types level) = level
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  | level_of_type_sys (Preds (_, level, _)) = level
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  | level_of_type_sys (Tags (_, level, _)) = level
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fun thinness_of_type_sys (Simple_Types _) = Fat
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  | thinness_of_type_sys (Preds (_, _, thinness)) = thinness
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  | thinness_of_type_sys (Tags (_, _, thinness)) = thinness
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fun is_type_level_virtually_sound level =
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  level = All_Types orelse level = Nonmonotonic_Types
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val is_type_sys_virtually_sound =
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  is_type_level_virtually_sound o level_of_type_sys
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fun is_type_level_fairly_sound level =
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  is_type_level_virtually_sound level orelse level = Finite_Types
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val is_type_sys_fairly_sound = is_type_level_fairly_sound o level_of_type_sys
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fun formula_map f (AQuant (q, xs, phi)) = AQuant (q, xs, formula_map f phi)
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  | formula_map f (AConn (c, phis)) = AConn (c, map (formula_map f) phis)
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  | formula_map f (AAtom tm) = AAtom (f tm)
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fun formula_fold pos f =
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  let
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    fun aux pos (AQuant (_, _, phi)) = aux pos phi
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      | aux pos (AConn (ANot, [phi])) = aux (Option.map not pos) phi
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      | aux pos (AConn (AImplies, [phi1, phi2])) =
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        aux (Option.map not pos) phi1 #> aux pos phi2
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      | aux pos (AConn (AAnd, phis)) = fold (aux pos) phis
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      | aux pos (AConn (AOr, phis)) = fold (aux pos) phis
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      | aux _ (AConn (_, phis)) = fold (aux NONE) phis
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      | aux pos (AAtom tm) = f pos tm
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  in aux (SOME pos) end
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type translated_formula =
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  {name: string,
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   locality: locality,
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   kind: formula_kind,
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   combformula: (name, typ, combterm) formula,
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   atomic_types: typ list}
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fun update_combformula f ({name, locality, kind, combformula, atomic_types}
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                          : translated_formula) =
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  {name = name, locality = locality, kind = kind, combformula = f combformula,
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   atomic_types = atomic_types} : translated_formula
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fun fact_lift f ({combformula, ...} : translated_formula) = f combformula
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val boring_consts = [explicit_app_base, @{const_name Metis.fequal}]
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fun should_omit_type_args type_sys s =
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  s <> type_pred_base andalso s <> type_tag_name andalso
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  (s = @{const_name HOL.eq} orelse level_of_type_sys type_sys = No_Types orelse
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   (case type_sys of
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      Tags (_, _, Thin) => false
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    | Tags (_, All_Types, Fat) => true
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    | _ => polymorphism_of_type_sys type_sys <> Mangled_Monomorphic andalso
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           member (op =) boring_consts s))
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(* The Booleans indicate whether all type arguments should be kept. *)
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datatype type_arg_policy =
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  Explicit_Type_Args of bool |
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  Mangled_Type_Args of bool |
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  No_Type_Args
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fun should_drop_arg_type_args type_sys =
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  level_of_type_sys type_sys = All_Types andalso
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  thinness_of_type_sys type_sys = Fat
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fun general_type_arg_policy type_sys =
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  if level_of_type_sys type_sys = No_Types then
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    No_Type_Args
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  else if polymorphism_of_type_sys type_sys = Mangled_Monomorphic then
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    Mangled_Type_Args (should_drop_arg_type_args type_sys)
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  else
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    Explicit_Type_Args (should_drop_arg_type_args type_sys)
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fun type_arg_policy type_sys s =
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  if should_omit_type_args type_sys s then No_Type_Args
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  else general_type_arg_policy type_sys
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fun atp_type_literals_for_types type_sys kind Ts =
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  if level_of_type_sys type_sys = No_Types then
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    []
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  else
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    Ts |> type_literals_for_types
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       |> filter (fn TyLitVar _ => kind <> Conjecture
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                   | TyLitFree _ => kind = Conjecture)
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fun mk_anot phi = AConn (ANot, [phi])
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fun mk_aconn c phi1 phi2 = AConn (c, [phi1, phi2])
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fun mk_aconns c phis =
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  let val (phis', phi') = split_last phis in
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    fold_rev (mk_aconn c) phis' phi'
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  end
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fun mk_ahorn [] phi = phi
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  | mk_ahorn phis psi = AConn (AImplies, [mk_aconns AAnd phis, psi])
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fun mk_aquant _ [] phi = phi
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  | mk_aquant q xs (phi as AQuant (q', xs', phi')) =
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    if q = q' then AQuant (q, xs @ xs', phi') else AQuant (q, xs, phi)
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  | mk_aquant q xs phi = AQuant (q, xs, phi)
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fun close_universally atom_vars phi =
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  let
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    fun formula_vars bounds (AQuant (_, xs, phi)) =
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        formula_vars (map fst xs @ bounds) phi
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      | formula_vars bounds (AConn (_, phis)) = fold (formula_vars bounds) phis
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      | formula_vars bounds (AAtom tm) =
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        union (op =) (atom_vars tm []
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                      |> filter_out (member (op =) bounds o fst))
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  in mk_aquant AForall (formula_vars [] phi []) phi end
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fun combterm_vars (CombApp (tm1, tm2)) = fold combterm_vars [tm1, tm2]
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  | combterm_vars (CombConst _) = I
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  | combterm_vars (CombVar (name, T)) = insert (op =) (name, SOME T)
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fun close_combformula_universally phi = close_universally combterm_vars phi
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fun term_vars (ATerm (name as (s, _), tms)) =
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  is_atp_variable s ? insert (op =) (name, NONE)
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  #> fold term_vars tms
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fun close_formula_universally phi = close_universally term_vars phi
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fun fo_term_from_typ (Type (s, Ts)) =
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    ATerm (`make_fixed_type_const s, map fo_term_from_typ Ts)
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  | fo_term_from_typ (TFree (s, _)) =
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    ATerm (`make_fixed_type_var s, [])
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  | fo_term_from_typ (TVar ((x as (s, _)), _)) =
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    ATerm ((make_schematic_type_var x, s), [])
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(* This shouldn't clash with anything else. *)
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val mangled_type_sep = "\000"
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fun generic_mangled_type_name f (ATerm (name, [])) = f name
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  | generic_mangled_type_name f (ATerm (name, tys)) =
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    f name ^ "(" ^ space_implode "," (map (generic_mangled_type_name f) tys)
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    ^ ")"
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val mangled_type_name =
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  fo_term_from_typ
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  #> (fn ty => (make_tff_type (generic_mangled_type_name fst ty),
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                generic_mangled_type_name snd ty))
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fun generic_mangled_type_suffix f g Ts =
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  fold_rev (curry (op ^) o g o prefix mangled_type_sep
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            o generic_mangled_type_name f) Ts ""
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fun mangled_const_name T_args (s, s') =
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  let val ty_args = map fo_term_from_typ T_args in
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    (s ^ generic_mangled_type_suffix fst ascii_of ty_args,
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     s' ^ generic_mangled_type_suffix snd I ty_args)
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  end
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val parse_mangled_ident =
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  Scan.many1 (not o member (op =) ["(", ")", ","]) >> implode
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fun parse_mangled_type x =
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  (parse_mangled_ident
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   -- Scan.optional ($$ "(" |-- Scan.optional parse_mangled_types [] --| $$ ")")
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                    [] >> ATerm) x
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and parse_mangled_types x =
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  (parse_mangled_type ::: Scan.repeat ($$ "," |-- parse_mangled_type)) x
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fun unmangled_type s =
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  s |> suffix ")" |> raw_explode
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    |> Scan.finite Symbol.stopper
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           (Scan.error (!! (fn _ => raise Fail ("unrecognized mangled type " ^
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                                                quote s)) parse_mangled_type))
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    |> fst
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val unmangled_const_name = space_explode mangled_type_sep #> hd
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fun unmangled_const s =
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  let val ss = space_explode mangled_type_sep s in
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    (hd ss, map unmangled_type (tl ss))
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  end
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fun introduce_proxies tm =
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  let
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    fun aux top_level (CombApp (tm1, tm2)) =
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        CombApp (aux top_level tm1, aux false tm2)
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      | aux top_level (CombConst (name as (s, s'), T, T_args)) =
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        (case proxify_const s of
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           SOME proxy_base =>
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           if top_level then
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             (case s of
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                "c_False" => (tptp_false, s')
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              | "c_True" => (tptp_true, s')
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              | _ => name, [])
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           else
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             (proxy_base |>> prefix const_prefix, T_args)
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          | NONE => (name, T_args))
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        |> (fn (name, T_args) => CombConst (name, T, T_args))
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      | aux _ tm = tm
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  in aux true tm end
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fun combformula_from_prop thy eq_as_iff =
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  let
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    fun do_term bs t atomic_types =
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      combterm_from_term thy bs (Envir.eta_contract t)
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      |>> (introduce_proxies #> AAtom)
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      ||> union (op =) atomic_types
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    fun do_quant bs q s T t' =
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      let val s = Name.variant (map fst bs) s in
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        do_formula ((s, T) :: bs) t'
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        #>> mk_aquant q [(`make_bound_var s, SOME T)]
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      end
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    and do_conn bs c t1 t2 =
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      do_formula bs t1 ##>> do_formula bs t2
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      #>> uncurry (mk_aconn c)
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    and do_formula bs t =
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      case t of
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        @{const Not} $ t1 => do_formula bs t1 #>> mk_anot
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      | Const (@{const_name All}, _) $ Abs (s, T, t') =>
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        do_quant bs AForall s T t'
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      | Const (@{const_name Ex}, _) $ Abs (s, T, t') =>
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        do_quant bs AExists s T t'
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      | @{const HOL.conj} $ t1 $ t2 => do_conn bs AAnd t1 t2
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      | @{const HOL.disj} $ t1 $ t2 => do_conn bs AOr t1 t2
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      | @{const HOL.implies} $ t1 $ t2 => do_conn bs AImplies t1 t2
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      | Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _])) $ t1 $ t2 =>
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        if eq_as_iff then do_conn bs AIff t1 t2 else do_term bs t
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      | _ => do_term bs t
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  in do_formula [] end
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fun presimplify_term ctxt =
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  Skip_Proof.make_thm (Proof_Context.theory_of ctxt)
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  #> Meson.presimplify ctxt
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  #> prop_of
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   376
41491
a2ad5b824051 eliminated Int.toString;
wenzelm
parents: 41406
diff changeset
   377
fun concealed_bound_name j = sledgehammer_weak_prefix ^ string_of_int j
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   378
fun conceal_bounds Ts t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   379
  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
   380
                    (0 upto length Ts - 1 ~~ Ts), t)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   381
fun reveal_bounds Ts =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   382
  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
   383
                    (0 upto length Ts - 1 ~~ Ts))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   384
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
   385
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
   386
  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
   387
    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
   388
      |> 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
   389
  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
   390
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   391
fun introduce_combinators_in_term ctxt kind t =
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
   392
  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
   393
    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
   394
      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
   395
    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
   396
      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
   397
        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
   398
          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
   399
            @{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
   400
          | (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
   401
            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
   402
          | (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
   403
            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
   404
          | (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
   405
            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
   406
          | (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
   407
            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
   408
          | (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
   409
          | (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
   410
          | (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
   411
          | (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
   412
              $ 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
   413
            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
   414
          | _ => 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
   415
                   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
   416
                 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
   417
                   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
   418
                     |> 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
   419
                     |> cterm_of thy
39890
a1695e2169d0 finished renaming file and module
blanchet
parents: 39886
diff changeset
   420
                     |> 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
   421
                     |> 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
   422
                     |> reveal_bounds Ts
39370
f8292d3020db use same hack as in "Async_Manager" to work around Proof General bug
blanchet
parents: 39005
diff changeset
   423
        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
   424
      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
   425
      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
   426
             (* 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
   427
             if kind = Conjecture then HOLogic.false_const
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   428
             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
   429
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   430
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   431
(* 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
   432
   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
   433
fun freeze_term t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   434
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   435
    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
   436
      | 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
   437
      | aux (Var ((s, i), T)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   438
        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
   439
      | aux t = t
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   440
  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
   441
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
   442
(* making fact and conjecture formulas *)
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   443
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
   444
  let
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
   445
    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
   446
    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
   447
              |> transform_elim_term
41211
1e2e16bc0077 no need to do a super-duper atomization if Metis fails afterwards anyway
blanchet
parents: 41199
diff changeset
   448
              |> Object_Logic.atomize_term thy
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   449
    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
   450
    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
   451
              |> Raw_Simplifier.rewrite_term thy
369dfc819056 unfold set constants in Sledgehammer/ATP as well if Metis does it too
blanchet
parents: 42734
diff changeset
   452
                     (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
   453
              |> extensionalize_term ctxt
42750
c8b1d9ee3758 ensure Set.member isn't introduced by Meson's preprocessing if it's supposed to be unfolded
blanchet
parents: 42747
diff changeset
   454
              |> presimp ? presimplify_term ctxt
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   455
              |> perhaps (try (HOLogic.dest_Trueprop))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   456
              |> introduce_combinators_in_term ctxt kind
38613
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   457
              |> kind <> Axiom ? freeze_term
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   458
    val (combformula, atomic_types) =
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   459
      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
   460
  in
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   461
    {name = name, locality = loc, kind = kind, combformula = combformula,
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   462
     atomic_types = atomic_types}
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   463
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   464
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   465
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
   466
  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
   467
    (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
   468
    NONE
7f2793d51efc add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents: 41770
diff changeset
   469
  | (_, formula) => SOME formula
42561
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
   470
42709
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   471
fun make_conjecture ctxt prem_kind ts =
38613
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   472
  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
   473
    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
   474
             let
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   475
               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
   476
                 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
   477
                   (Conjecture, I)
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   478
                 else
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   479
                   (prem_kind,
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   480
                    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
   481
                    else I)
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   482
              in
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   483
                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
   484
                |> maybe_negate
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   485
              end)
38613
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   486
         (0 upto last) ts
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   487
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   488
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
   489
(** 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
   490
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
   491
(* 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
   492
   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
   493
   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
   494
   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
   495
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
   496
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
   497
  | 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
   498
  | 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
   499
    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
   500
  | 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
   501
42832
06afb3070af6 renamed "shallow" to "thin" and make it the default
blanchet
parents: 42831
diff changeset
   502
fun should_predicate_on_type ctxt nonmono_Ts (Preds (_, level, thinness)) T =
06afb3070af6 renamed "shallow" to "thin" and make it the default
blanchet
parents: 42831
diff changeset
   503
    (case thinness of
06afb3070af6 renamed "shallow" to "thin" and make it the default
blanchet
parents: 42831
diff changeset
   504
       Thin => should_encode_type ctxt nonmono_Ts level T (* FIXME *)
06afb3070af6 renamed "shallow" to "thin" and make it the default
blanchet
parents: 42831
diff changeset
   505
     | Fat => should_encode_type ctxt nonmono_Ts level T)
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
   506
  | 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
   507
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   508
datatype tag_site = Top_Level | Eq_Arg | Elsewhere
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   509
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   510
fun should_tag_with_type _ _ _ Top_Level _ _ = false
42832
06afb3070af6 renamed "shallow" to "thin" and make it the default
blanchet
parents: 42831
diff changeset
   511
  | should_tag_with_type ctxt nonmono_Ts (Tags (_, level, thinness)) site u T =
06afb3070af6 renamed "shallow" to "thin" and make it the default
blanchet
parents: 42831
diff changeset
   512
    (case thinness of
06afb3070af6 renamed "shallow" to "thin" and make it the default
blanchet
parents: 42831
diff changeset
   513
       Fat => should_encode_type ctxt nonmono_Ts level T
06afb3070af6 renamed "shallow" to "thin" and make it the default
blanchet
parents: 42831
diff changeset
   514
     | Thin =>
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   515
       case (site, u) of
42831
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   516
         (Eq_Arg, CombVar _) =>
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   517
         let
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   518
           (* This trick ensures that "If" helpers are not unduely tagged, while
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   519
              "True_or_False" is correctly tagged. *)
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   520
           val level' = if null nonmono_Ts then level else Nonmonotonic_Types
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   521
         in should_encode_type ctxt nonmono_Ts level' T end
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   522
       | _ => false)
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   523
  | should_tag_with_type _ _ _ _ _ _ = false
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
   524
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
   525
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
   526
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
   527
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
   528
  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
   529
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
   530
(** "hBOOL" and "hAPP" **)
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   531
42574
blanchet
parents: 42573
diff changeset
   532
type sym_info =
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   533
  {pred_sym : bool, min_ary : int, max_ary : int, typ : typ option}
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   534
42574
blanchet
parents: 42573
diff changeset
   535
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
   536
  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
   537
    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
   538
      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
   539
        (case head of
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   540
           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
   541
           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
   542
             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
   543
           else
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   544
             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
   545
               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
   546
                   (s, {pred_sym = true,
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   547
                        min_ary = if explicit_apply then 0 else ary,
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   548
                        max_ary = 0, typ = SOME T})
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   549
                   (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
   550
                       {pred_sym = pred_sym andalso top_level,
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   551
                        min_ary = Int.min (ary, min_ary),
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   552
                        max_ary = Int.max (ary, max_ary),
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   553
                        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
   554
            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
   555
         | _ => 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
   556
        #> 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
   557
      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
   558
  in aux true end
42674
af86324707f2 eta-expansion for SML/NJ
blanchet
parents: 42670
diff changeset
   559
fun add_fact_syms_to_table explicit_apply =
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   560
  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
   561
42675
223153bb68a1 added type annotation for SML/NJ
blanchet
parents: 42674
diff changeset
   562
val default_sym_table_entries : (string * sym_info) list =
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   563
  [("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
   564
   (make_fixed_const predicator_base,
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   565
    {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
   566
  ([tptp_false, tptp_true]
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   567
   |> 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
   568
42544
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   569
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
   570
  Symtab.empty |> fold Symtab.default default_sym_table_entries
42574
blanchet
parents: 42573
diff changeset
   571
               |> 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
   572
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
   573
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
   574
  case Symtab.lookup sym_tab s of
42574
blanchet
parents: 42573
diff changeset
   575
    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
   576
  | 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
   577
    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
   578
      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
   579
      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
   580
        if s = predicator_base then 1
42547
b5eec0c99528 fixed arity of special constants if "explicit_apply" is set
blanchet
parents: 42546
diff changeset
   581
        else if s = explicit_app_base then 2
b5eec0c99528 fixed arity of special constants if "explicit_apply" is set
blanchet
parents: 42546
diff changeset
   582
        else if s = type_pred_base then 1
42557
ae0deb39a254 fixed min-arity computation when "explicit_apply" is specified
blanchet
parents: 42556
diff changeset
   583
        else 0
42547
b5eec0c99528 fixed arity of special constants if "explicit_apply" is set
blanchet
parents: 42546
diff changeset
   584
      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
   585
    | NONE => 0
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   586
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   587
(* 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
   588
   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
   589
   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
   590
   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
   591
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
   592
  case Symtab.lookup sym_tab s of
42574
blanchet
parents: 42573
diff changeset
   593
    SOME ({pred_sym, min_ary, max_ary, ...} : sym_info) =>
blanchet
parents: 42573
diff changeset
   594
    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
   595
  | NONE => false
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   596
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   597
val predicator_combconst =
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   598
  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
   599
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
   600
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   601
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
   602
  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
   603
    (CombConst ((s, _), _, _), _) =>
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   604
    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
   605
  | _ => 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
   606
42544
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   607
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
   608
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   609
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
   610
  let
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   611
    val head_T = combtyp_of head
42693
3c2baf9b3c61 reverted 6efda6167e5d because unsound -- Vampire found a counterexample
blanchet
parents: 42691
diff changeset
   612
    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
   613
    val explicit_app =
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   614
      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
   615
                 [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
   616
  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
   617
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
   618
42565
93f58e6a6f3e proper handling of partially applied proxy symbols
blanchet
parents: 42564
diff changeset
   619
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
   620
  let
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   621
    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
   622
      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
   623
        (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
   624
        args |> map aux
42557
ae0deb39a254 fixed min-arity computation when "explicit_apply" is specified
blanchet
parents: 42556
diff changeset
   625
             |> 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
   626
             |>> 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
   627
             |-> 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
   628
      | (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
   629
  in aux end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   630
42753
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   631
fun chop_fun 0 T = ([], T)
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   632
  | chop_fun n (Type (@{type_name fun}, [dom_T, ran_T])) =
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   633
    chop_fun (n - 1) ran_T |>> cons dom_T
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   634
  | chop_fun _ _ = raise Fail "unexpected non-function"
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   635
42780
be6164bc9744 avoid "UnequalLengths" exception for special constant "fequal" -- and optimize code in the common case where no type arguments are needed
blanchet
parents: 42778
diff changeset
   636
fun filter_type_args _ _ _ [] = []
be6164bc9744 avoid "UnequalLengths" exception for special constant "fequal" -- and optimize code in the common case where no type arguments are needed
blanchet
parents: 42778
diff changeset
   637
  | filter_type_args thy s arity T_args =
42781
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   638
    let val U = s |> Sign.the_const_type thy (* may throw "TYPE" *) in
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   639
      case Term.add_tvarsT (U |> chop_fun arity |> snd) [] of
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   640
        [] => []
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   641
      | res_U_vars =>
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   642
        let val U_args = (s, U) |> Sign.const_typargs thy in
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   643
          U_args ~~ T_args
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   644
          |> map_filter (fn (U, T) =>
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   645
                            if member (op =) res_U_vars (dest_TVar U) then
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   646
                              SOME T
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   647
                            else
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   648
                              NONE)
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   649
        end
42780
be6164bc9744 avoid "UnequalLengths" exception for special constant "fequal" -- and optimize code in the common case where no type arguments are needed
blanchet
parents: 42778
diff changeset
   650
    end
be6164bc9744 avoid "UnequalLengths" exception for special constant "fequal" -- and optimize code in the common case where no type arguments are needed
blanchet
parents: 42778
diff changeset
   651
    handle TYPE _ => T_args
42753
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   652
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   653
fun enforce_type_arg_policy_in_combterm ctxt nonmono_Ts type_sys =
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   654
  let
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   655
    val thy = Proof_Context.theory_of ctxt
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   656
    fun aux arity (CombApp (tm1, tm2)) =
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   657
        CombApp (aux (arity + 1) tm1, aux 0 tm2)
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   658
      | aux arity (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
   659
        let
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   660
          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
   661
          val (T, T_args) =
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   662
            (* 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
   663
               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
   664
               result type. *)
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   665
            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
   666
               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
   667
               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
   668
              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
   669
                     |> (fn Ts => let val T = hd Ts --> nth Ts 1 in
42831
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   670
                                    (T --> T, tl Ts)
42701
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   671
                                  end)
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   672
            else
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   673
              (T, T_args)
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   674
        in
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   675
          (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
   676
             NONE => (name, T_args)
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   677
           | SOME s'' =>
42753
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   678
             let
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   679
               val s'' = invert_const s''
42831
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   680
               fun filtered_T_args false = T_args
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   681
                 | filtered_T_args true = filter_type_args thy s'' arity T_args
42753
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   682
             in
42701
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   683
               case type_arg_policy type_sys s'' of
42831
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   684
                 Explicit_Type_Args drop_args =>
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   685
                 (name, filtered_T_args drop_args)
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   686
               | Mangled_Type_Args drop_args =>
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   687
                 (mangled_const_name (filtered_T_args drop_args) name, [])
42753
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   688
               | No_Type_Args => (name, [])
42701
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   689
             end)
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   690
          |> (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
   691
        end
42753
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   692
      | aux _ tm = tm
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   693
  in aux 0 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
   694
42701
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   695
fun repair_combterm ctxt nonmono_Ts type_sys sym_tab =
42565
93f58e6a6f3e proper handling of partially applied proxy symbols
blanchet
parents: 42564
diff changeset
   696
  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
   697
  #> introduce_predicators_in_combterm sym_tab
42753
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   698
  #> enforce_type_arg_policy_in_combterm ctxt nonmono_Ts type_sys
42701
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   699
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
   700
  update_combformula (formula_map
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   701
      (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
   702
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
(** 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
   704
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
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
   706
  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
   707
    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
   708
    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
   709
  in
42612
bb9143d7e217 cosmetics
blanchet
parents: 42608
diff changeset
   710
    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
   711
             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
   712
             |> 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
   713
  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
   714
42574
blanchet
parents: 42573
diff changeset
   715
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
   716
  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
   717
    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
   718
    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
   719
      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
   720
      val unmangled_s = mangled_s |> unmangled_const_name
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   721
      fun dub_and_inst c needs_some_types (th, j) =
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   722
        ((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
   723
          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
   724
         let val t = th |> prop_of in
42753
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   725
           t |> ((case general_type_arg_policy type_sys of
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   726
                    Mangled_Type_Args _ => true
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   727
                  | _ => false) 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
   728
                 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
   729
                ? (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
   730
                     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
   731
                   | 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
   732
         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
   733
      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
   734
        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
   735
      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
   736
    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
   737
      metis_helpers
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   738
      |> 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
   739
                  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
   740
                     (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
   741
                    []
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
                  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
   743
                    ths ~~ (1 upto length ths)
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   744
                    |> map (dub_and_inst mangled_s needs_some_types)
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   745
                    |> 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
   746
    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
   747
  | 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
   748
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
   749
  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
   750
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
   751
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
   752
  `(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
   753
42709
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   754
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
   755
  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
   756
    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
   757
    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
   758
    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
   759
      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
   760
      |> 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
   761
                      | (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
   762
      |> 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
   763
    (* 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
   764
       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
   765
    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
   766
    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
   767
    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
   768
    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
   769
    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
   770
    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
   771
    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
   772
    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
   773
      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
   774
      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
   775
    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
   776
  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
   777
    (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
   778
  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
   779
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
   780
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
   781
    (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
   782
  | 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
   783
    (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
   784
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
   785
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
   786
42701
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   787
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
   788
  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
   789
           tm)
42753
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   790
  |> enforce_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
   791
  |> 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
   792
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   793
fun tag_with_type ctxt nonmono_Ts type_sys T tm =
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   794
  CombConst (`make_fixed_const type_tag_name, T --> T, [T])
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   795
  |> enforce_type_arg_policy_in_combterm ctxt nonmono_Ts type_sys
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   796
  |> term_from_combterm ctxt nonmono_Ts type_sys Top_Level
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   797
  |> (fn ATerm (s, tms) => ATerm (s, tms @ [tm]))
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   798
and term_from_combterm ctxt nonmono_Ts type_sys site 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
   799
  let
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   800
    val (head, args) = strip_combterm_comb u
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   801
    val (x as (s, _), T_args) =
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   802
      case head of
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   803
        CombConst (name, _, T_args) => (name, T_args)
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   804
      | CombVar (name, _) => (name, [])
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   805
      | CombApp _ => raise Fail "impossible \"CombApp\""
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   806
    val arg_site = if site = Top_Level andalso s = "equal" then Eq_Arg
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   807
                   else Elsewhere
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   808
    val t = ATerm (x, map fo_term_from_typ T_args @
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   809
                      map (term_from_combterm ctxt nonmono_Ts type_sys arg_site)
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   810
                          args)
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   811
    val T = combtyp_of u
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   812
  in
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   813
    t |> (if should_tag_with_type ctxt nonmono_Ts type_sys site u T then
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   814
            tag_with_type ctxt nonmono_Ts type_sys T
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   815
          else
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   816
            I)
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   817
  end
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   818
and formula_from_combformula ctxt nonmono_Ts type_sys =
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   819
  let
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
   820
    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
   821
      case type_sys of
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   822
        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
   823
        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
   824
      | _ => 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
   825
    fun do_out_of_bound_type (s, T) =
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   826
      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
   827
        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
   828
        |> 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
   829
      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
   830
        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
   831
    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
   832
        AQuant (q, xs |> map (apsnd (fn NONE => NONE
42574
blanchet
parents: 42573
diff changeset
   833
                                      | 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
   834
                (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
   835
                    (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
   836
                         (fn (_, NONE) => NONE
42574
blanchet
parents: 42573
diff changeset
   837
                           | (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
   838
                    (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
   839
      | do_formula (AConn (c, phis)) = AConn (c, map do_formula phis)
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   840
      | do_formula (AAtom tm) =
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   841
        AAtom (term_from_combterm ctxt nonmono_Ts type_sys Top_Level 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
   842
  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
   843
42727
f365f5138771 ensure type class predicates are generated in symbol declarations (for "poly_preds" and similar)
blanchet
parents: 42726
diff changeset
   844
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
   845
  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
   846
                (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
   847
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   848
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
   849
                     ({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
   850
  combformula
f365f5138771 ensure type class predicates are generated in symbol declarations (for "poly_preds" and similar)
blanchet
parents: 42726
diff changeset
   851
  |> close_combformula_universally
f365f5138771 ensure type class predicates are generated in symbol declarations (for "poly_preds" and similar)
blanchet
parents: 42726
diff changeset
   852
  |> 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
   853
  |> 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
   854
  |> 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
   855
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   856
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
   857
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
   858
(* 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
   859
   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
   860
   the remote provers might care. *)
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   861
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
   862
                          (j, formula as {name, locality, kind, ...}) =
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   863
  Formula (prefix ^ (if polymorphism_of_type_sys type_sys = Polymorphic then ""
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   864
                     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
   865
           ascii_of name,
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   866
           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
   867
           if generate_useful_info then
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   868
             case locality of
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   869
               Intro => useful_isabelle_info "intro"
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   870
             | Elim => useful_isabelle_info "elim"
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   871
             | Simp => useful_isabelle_info "simp"
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   872
             | _ => NONE
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   873
           else
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   874
             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
   875
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
   876
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
   877
                                                       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
   878
  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
   879
    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
   880
             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
   881
                               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
   882
             |> 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
   883
  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
   884
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
   885
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
   886
    (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
   887
  | 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
   888
    (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
   889
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
   890
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
   891
                                                ...}) =
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
   892
  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
   893
           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
   894
                          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
   895
                    (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
   896
                         (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
   897
           |> 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
   898
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   899
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
   900
        ({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
   901
  Formula (conjecture_prefix ^ name, kind,
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   902
           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
   903
                                    (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
   904
           |> 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
   905
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
   906
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
   907
  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
   908
               |> 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
   909
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
   910
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
   911
  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
   912
           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
   913
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
   914
  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
   915
    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
   916
    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
   917
  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
   918
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
   919
(** 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
   920
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
   921
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
   922
  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
   923
    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
   924
    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
   925
  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
   926
42574
blanchet
parents: 42573
diff changeset
   927
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
   928
  not (String.isPrefix bound_var_prefix s) andalso s <> "equal" andalso
42753
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   929
  not (String.isPrefix tptp_special_prefix s) andalso
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   930
  ((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
   931
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
   932
fun sym_decl_table_for_facts type_sys repaired_sym_tab (conjs, facts) =
42574
blanchet
parents: 42573
diff changeset
   933
  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
   934
    fun add_combterm in_conj tm =
42574
blanchet
parents: 42573
diff changeset
   935
      let val (head, args) = strip_combterm_comb tm in
blanchet
parents: 42573
diff changeset
   936
        (case head of
blanchet
parents: 42573
diff changeset
   937
           CombConst ((s, s'), T, T_args) =>
blanchet
parents: 42573
diff changeset
   938
           let val pred_sym = is_pred_sym repaired_sym_tab s in
blanchet
parents: 42573
diff changeset
   939
             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
   940
               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
   941
                   (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
   942
                                    in_conj))
42574
blanchet
parents: 42573
diff changeset
   943
             else
blanchet
parents: 42573
diff changeset
   944
               I
blanchet
parents: 42573
diff changeset
   945
           end
blanchet
parents: 42573
diff changeset
   946
         | _ => 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
   947
        #> fold (add_combterm in_conj) args
42574
blanchet
parents: 42573
diff changeset
   948
      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
   949
    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
   950
      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
   951
  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
   952
    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
   953
    |> 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
   954
       ? (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
   955
  end
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   956
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
   957
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
   958
    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
   959
  | 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
   960
  | 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
   961
42685
7a5116bd63b7 documentation tuning
blanchet
parents: 42684
diff changeset
   962
(* This inference is described in section 2.3 of Claessen et al.'s "Sorting it
7a5116bd63b7 documentation tuning
blanchet
parents: 42684
diff changeset
   963
   out with monotonicity" paper presented at CADE 2011. *)
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   964
fun add_combterm_nonmonotonic_types _ _  (SOME false) _ = I
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   965
  | add_combterm_nonmonotonic_types ctxt level _
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   966
        (CombApp (CombApp (CombConst (("equal", _), Type (_, [T, _]), _), tm1),
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   967
                  tm2)) =
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   968
    (exists is_var_or_bound_var [tm1, tm2] andalso
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   969
     (case level of
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   970
        Nonmonotonic_Types => not (is_type_surely_infinite ctxt T)
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   971
      | Finite_Types => is_type_surely_finite ctxt T
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   972
      | _ => true)) ? insert_type I T
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   973
  | add_combterm_nonmonotonic_types _ _ _ _ = I
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   974
fun add_fact_nonmonotonic_types ctxt level ({kind, combformula, ...}
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   975
                                            : translated_formula) =
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   976
  formula_fold (kind <> Conjecture)
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   977
               (add_combterm_nonmonotonic_types ctxt level) combformula
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   978
fun add_nonmonotonic_types_for_facts ctxt type_sys facts =
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   979
  let val level = level_of_type_sys type_sys in
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   980
    (level = Nonmonotonic_Types orelse
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   981
     (case type_sys of
42832
06afb3070af6 renamed "shallow" to "thin" and make it the default
blanchet
parents: 42831
diff changeset
   982
        Tags (poly, _, Thin) => poly <> Polymorphic
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   983
      | _ => false))
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   984
    ? (fold (add_fact_nonmonotonic_types ctxt level) facts
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   985
       (* in case helper "True_or_False" is included *)
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   986
       #> insert_type I @{typ bool})
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   987
  end
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
   988
42753
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   989
fun result_type_of_decl (_, _, T, _, ary, _) = chop_fun ary T |> snd
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   990
42754
b9d7df8c51c8 make sure "simple_types_query" and "simple_types_bang" symbols are declared with the proper types
blanchet
parents: 42753
diff changeset
   991
fun decl_line_for_sym ctxt nonmono_Ts level s (s', _, T, pred_sym, ary, _) =
b9d7df8c51c8 make sure "simple_types_query" and "simple_types_bang" symbols are declared with the proper types
blanchet
parents: 42753
diff changeset
   992
  let
b9d7df8c51c8 make sure "simple_types_query" and "simple_types_bang" symbols are declared with the proper types
blanchet
parents: 42753
diff changeset
   993
    val translate_type =
b9d7df8c51c8 make sure "simple_types_query" and "simple_types_bang" symbols are declared with the proper types
blanchet
parents: 42753
diff changeset
   994
      mangled_type_name o homogenized_type ctxt nonmono_Ts level
b9d7df8c51c8 make sure "simple_types_query" and "simple_types_bang" symbols are declared with the proper types
blanchet
parents: 42753
diff changeset
   995
    val (arg_tys, res_ty) =
b9d7df8c51c8 make sure "simple_types_query" and "simple_types_bang" symbols are declared with the proper types
blanchet
parents: 42753
diff changeset
   996
      T |> chop_fun ary |>> map translate_type ||> translate_type
b9d7df8c51c8 make sure "simple_types_query" and "simple_types_bang" symbols are declared with the proper types
blanchet
parents: 42753
diff changeset
   997
  in
b9d7df8c51c8 make sure "simple_types_query" and "simple_types_bang" symbols are declared with the proper types
blanchet
parents: 42753
diff changeset
   998
    Decl (sym_decl_prefix ^ s, (s, s'), arg_tys,
b9d7df8c51c8 make sure "simple_types_query" and "simple_types_bang" symbols are declared with the proper types
blanchet
parents: 42753
diff changeset
   999
          if pred_sym then `I tptp_tff_bool_type else res_ty)
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
  1000
  end
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
  1001
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
  1002
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
  1003
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1004
fun formula_line_for_pred_sym_decl ctxt conj_sym_kind nonmono_Ts type_sys n s j
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1005
                                   (s', T_args, T, _, ary, in_conj) =
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
  1006
  let
42709
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
  1007
    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
  1008
      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
  1009
      else (Axiom, I)
42753
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
  1010
    val (arg_Ts, res_T) = chop_fun ary T
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
  1011
    val bound_names =
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
  1012
      1 upto length arg_Ts |> map (`I o make_bound_var o string_of_int)
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1013
    val bounds =
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
  1014
      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
  1015
    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
  1016
      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
  1017
                             else NONE)
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
  1018
  in
42612
bb9143d7e217 cosmetics
blanchet
parents: 42608
diff changeset
  1019
    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
  1020
             (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
  1021
             CombConst ((s, s'), T, T_args)
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1022
             |> fold (curry (CombApp o swap)) bounds
42701
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
  1023
             |> 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
  1024
             |> mk_aquant AForall (bound_names ~~ bound_Ts)
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
  1025
             |> 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
  1026
             |> 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
  1027
             |> close_formula_universally
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
  1028
             |> maybe_negate,
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
  1029
             NONE, NONE)
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
  1030
  end
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
  1031
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1032
fun formula_lines_for_tag_sym_decl ctxt nonmono_Ts type_sys n s
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1033
                                   (j, (s', T_args, T, _, ary, _)) =
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1034
  let
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1035
    val ident_base =
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1036
      sym_decl_prefix ^ s ^ (if n > 1 then "_" ^ string_of_int j else "")
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1037
    val (arg_Ts, res_T) = chop_fun ary T
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1038
    val bound_names =
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1039
      1 upto length arg_Ts |> map (`I o make_bound_var o string_of_int)
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1040
    val bounds = bound_names |> map (fn name => ATerm (name, []))
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1041
    fun const args = ATerm ((s, s'), map fo_term_from_typ T_args @ args)
42830
1068d8fc1331 generate type classes predicates in new "shallow" encoding
blanchet
parents: 42829
diff changeset
  1042
    val atomic_Ts = atyps_of T
1068d8fc1331 generate type classes predicates in new "shallow" encoding
blanchet
parents: 42829
diff changeset
  1043
    fun eq tm1 tm2 =
1068d8fc1331 generate type classes predicates in new "shallow" encoding
blanchet
parents: 42829
diff changeset
  1044
      ATerm (`I "equal", [tm1, tm2])
1068d8fc1331 generate type classes predicates in new "shallow" encoding
blanchet
parents: 42829
diff changeset
  1045
      |> AAtom
1068d8fc1331 generate type classes predicates in new "shallow" encoding
blanchet
parents: 42829
diff changeset
  1046
      |> bound_atomic_types type_sys atomic_Ts
1068d8fc1331 generate type classes predicates in new "shallow" encoding
blanchet
parents: 42829
diff changeset
  1047
      |> close_formula_universally
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1048
    val should_encode =
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1049
      should_encode_type ctxt nonmono_Ts
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1050
          (if polymorphism_of_type_sys type_sys = Polymorphic then All_Types
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1051
           else Nonmonotonic_Types)
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1052
    val tag_with = tag_with_type ctxt nonmono_Ts type_sys
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1053
    val add_formula_for_res =
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1054
      if should_encode res_T then
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1055
        cons (Formula (ident_base ^ "_res", Axiom,
42830
1068d8fc1331 generate type classes predicates in new "shallow" encoding
blanchet
parents: 42829
diff changeset
  1056
                       eq (tag_with res_T (const bounds)) (const bounds),
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1057
                       NONE, NONE))
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1058
      else
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1059
        I
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1060
    fun add_formula_for_arg k =
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1061
      let val arg_T = nth arg_Ts k in
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828