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 format = ATP_Problem.format
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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_heaviness = Heavy | Light
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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_heaviness |
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    Tags of polymorphism * type_level * type_heaviness
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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 helper_prefix : string
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  val typed_helper_suffix : string
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  val predicator_name : string
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  val app_op_name : string
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  val type_pred_name : string
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  val simple_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 -> format -> type_system -> 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 -> format -> formula_kind -> formula_kind -> type_system
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    -> bool -> 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 list * 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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fun useful_isabelle_info s =
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  if generate_useful_info then
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    SOME (ATerm ("[]", [ATerm ("isabelle_" ^ s, [])]))
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  else
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    NONE
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val intro_info = useful_isabelle_info "intro"
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val elim_info = useful_isabelle_info "elim"
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val simp_info = useful_isabelle_info "simp"
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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 = "ty_"
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val sym_decl_prefix = "sy_"
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val sym_formula_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 typed_helper_suffix = "_T"
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val untyped_helper_suffix = "_U"
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val predicator_name = "hBOOL"
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val app_op_name = "hAPP"
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val type_pred_name = "is"
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val simple_type_prefix = "ty_"
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fun make_simple_type s =
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  if s = tptp_bool_type orelse s = tptp_fun_type orelse
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     s = tptp_individual_type then
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    s
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  else
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    simple_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_heaviness = Heavy | Light
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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_heaviness |
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  Tags of polymorphism * type_level * type_heaviness
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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 "_heavy") s of
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                  SOME s => (Heavy, s)
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                | NONE => (Light, s))
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  |> (fn (poly, (level, (heaviness, core))) =>
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         case (core, (poly, level, heaviness)) of
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           ("simple", (NONE, _, Light)) => Simple_Types level
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         | ("preds", (SOME poly, _, _)) => Preds (poly, level, heaviness)
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         | ("tags", (SOME Polymorphic, All_Types, _)) =>
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           Tags (Polymorphic, All_Types, heaviness)
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         | ("tags", (SOME Polymorphic, _, _)) =>
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           (* The actual light encoding is very unsound. *)
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           Tags (Polymorphic, level, Heavy)
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         | ("tags", (SOME poly, _, _)) => Tags (poly, level, heaviness)
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         | ("args", (SOME poly, All_Types (* naja *), Light)) =>
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           Preds (poly, Const_Arg_Types, Light)
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         | ("erased", (NONE, All_Types (* naja *), Light)) =>
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           Preds (Polymorphic, No_Types, Light)
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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 heaviness_of_type_sys (Simple_Types _) = Heavy
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  | heaviness_of_type_sys (Preds (_, _, heaviness)) = heaviness
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  | heaviness_of_type_sys (Tags (_, _, heaviness)) = heaviness
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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 is_setting_higher_order THF (Simple_Types _) = true
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  | is_setting_higher_order _ _ = false
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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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(* 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 (Simple_Types _) =
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    false (* since TFF doesn't support overloading *)
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  | should_drop_arg_type_args type_sys =
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    level_of_type_sys type_sys = All_Types andalso
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    heaviness_of_type_sys type_sys = Heavy
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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 s = @{const_name HOL.eq} orelse
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     (s = app_op_name andalso level_of_type_sys type_sys = Const_Arg_Types) then
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    No_Type_Args
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  else
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    general_type_arg_policy type_sys
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fun atp_type_literals_for_types format type_sys kind Ts =
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  if level_of_type_sys type_sys = No_Types orelse format = CNF_UEQ 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_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_tptp_variable s ? insert (op =) (name, NONE) #> fold term_vars tms
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fun close_formula_universally phi = close_universally term_vars phi
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val homo_infinite_type_name = @{type_name ind} (* any infinite type *)
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val homo_infinite_type = Type (homo_infinite_type_name, [])
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fun fo_term_from_typ higher_order =
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  let
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    fun term (Type (s, Ts)) =
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      ATerm (case (higher_order, s) of
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               (true, @{type_name bool}) => `I tptp_bool_type
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             | (true, @{type_name fun}) => `I tptp_fun_type
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             | _ => if s = homo_infinite_type_name then `I tptp_individual_type
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                    else `make_fixed_type_const s,
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             map term Ts)
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    | term (TFree (s, _)) = ATerm (`make_fixed_type_var s, [])
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    | term (TVar ((x as (s, _)), _)) =
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      ATerm ((make_schematic_type_var x, s), [])
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  in term end
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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 bool_atype = AType (`I tptp_bool_type)
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fun ho_type_from_fo_term higher_order pred_sym ary =
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  let
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    fun to_atype ty =
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      AType ((make_simple_type (generic_mangled_type_name fst ty),
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              generic_mangled_type_name snd ty))
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    fun to_afun f1 f2 tys = AFun (f1 (hd tys), f2 (nth tys 1))
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    fun to_fo 0 ty = if pred_sym then bool_atype else to_atype ty
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      | to_fo ary (ATerm (_, tys)) = to_afun to_atype (to_fo (ary - 1)) tys
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    fun to_ho (ty as ATerm ((s, _), tys)) =
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      if s = tptp_fun_type then to_afun to_ho to_ho tys else to_atype ty
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  in if higher_order then to_ho else to_fo ary end
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fun mangled_type higher_order pred_sym ary =
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  ho_type_from_fo_term higher_order pred_sym ary o fo_term_from_typ higher_order
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fun mangled_const_name T_args (s, s') =
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  let
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    val ty_args = map (fo_term_from_typ false) T_args
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    fun type_suffix f g =
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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) ty_args ""
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  in (s ^ type_suffix fst ascii_of, s' ^ type_suffix snd I) 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 format type_sys =
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  let
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    fun intro top_level (CombApp (tm1, tm2)) =
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        CombApp (intro top_level tm1, intro false tm2)
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      | intro top_level (CombConst (name as (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 orelse is_setting_higher_order format type_sys then
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             case (top_level, s) of
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               (_, "c_False") => (`I tptp_false, [])
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             | (_, "c_True") => (`I tptp_true, [])
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             | (false, "c_Not") => (`I tptp_not, [])
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             | (false, "c_conj") => (`I tptp_and, [])
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             | (false, "c_disj") => (`I tptp_or, [])
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             | (false, "c_implies") => (`I tptp_implies, [])
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             | (false, s) =>
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               if is_tptp_equal s then (`I tptp_equal, [])
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               else (proxy_base |>> prefix const_prefix, T_args)
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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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      | intro _ tm = tm
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  in intro true end
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fun combformula_from_prop thy format type_sys 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 format type_sys #> 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
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   378
    and do_conn bs c t1 t2 =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   379
      do_formula bs t1 ##>> do_formula bs t2
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   380
      #>> uncurry (mk_aconn c)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   381
    and do_formula bs t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   382
      case t of
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   383
        @{const Not} $ t1 => do_formula bs t1 #>> mk_anot
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   384
      | Const (@{const_name All}, _) $ Abs (s, T, t') =>
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   385
        do_quant bs AForall s T t'
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   386
      | Const (@{const_name Ex}, _) $ Abs (s, T, t') =>
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   387
        do_quant bs AExists s T t'
38795
848be46708dc formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents: 38786
diff changeset
   388
      | @{const HOL.conj} $ t1 $ t2 => do_conn bs AAnd t1 t2
848be46708dc formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents: 38786
diff changeset
   389
      | @{const HOL.disj} $ t1 $ t2 => do_conn bs AOr t1 t2
38786
e46e7a9cb622 formerly unnamed infix impliciation now named HOL.implies
haftmann
parents: 38752
diff changeset
   390
      | @{const HOL.implies} $ t1 $ t2 => do_conn bs AImplies t1 t2
38864
4abe644fcea5 formerly unnamed infix equality now named HOL.eq
haftmann
parents: 38829
diff changeset
   391
      | Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _])) $ t1 $ t2 =>
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   392
        if eq_as_iff then do_conn bs AIff t1 t2 else do_term bs t
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   393
      | _ => do_term bs t
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   394
  in do_formula [] end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   395
42750
c8b1d9ee3758 ensure Set.member isn't introduced by Meson's preprocessing if it's supposed to be unfolded
blanchet
parents: 42747
diff changeset
   396
fun presimplify_term ctxt =
c8b1d9ee3758 ensure Set.member isn't introduced by Meson's preprocessing if it's supposed to be unfolded
blanchet
parents: 42747
diff changeset
   397
  Skip_Proof.make_thm (Proof_Context.theory_of ctxt)
c8b1d9ee3758 ensure Set.member isn't introduced by Meson's preprocessing if it's supposed to be unfolded
blanchet
parents: 42747
diff changeset
   398
  #> Meson.presimplify ctxt
c8b1d9ee3758 ensure Set.member isn't introduced by Meson's preprocessing if it's supposed to be unfolded
blanchet
parents: 42747
diff changeset
   399
  #> prop_of
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   400
41491
a2ad5b824051 eliminated Int.toString;
wenzelm
parents: 41406
diff changeset
   401
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
   402
fun conceal_bounds Ts t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   403
  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
   404
                    (0 upto length Ts - 1 ~~ Ts), t)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   405
fun reveal_bounds Ts =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   406
  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
   407
                    (0 upto length Ts - 1 ~~ Ts))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   408
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
   409
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
   410
  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
   411
    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
   412
      |> 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
   413
  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
   414
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   415
fun introduce_combinators_in_term ctxt kind t =
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
   416
  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
   417
    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
   418
      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
   419
    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
   420
      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
   421
        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
   422
          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
   423
            @{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
   424
          | (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
   425
            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
   426
          | (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
   427
            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
   428
          | (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
   429
            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
   430
          | (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
   431
            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
   432
          | (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
   433
          | (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
   434
          | (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
   435
          | (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
   436
              $ 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
   437
            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
   438
          | _ => 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
   439
                   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
   440
                 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
   441
                   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
   442
                     |> 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
   443
                     |> cterm_of thy
39890
a1695e2169d0 finished renaming file and module
blanchet
parents: 39886
diff changeset
   444
                     |> 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
   445
                     |> 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
   446
                     |> reveal_bounds Ts
39370
f8292d3020db use same hack as in "Async_Manager" to work around Proof General bug
blanchet
parents: 39005
diff changeset
   447
        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
   448
      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
   449
      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
   450
             (* 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
   451
             if kind = Conjecture then HOLogic.false_const
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   452
             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
   453
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   454
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   455
(* 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
   456
   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
   457
fun freeze_term t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   458
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   459
    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
   460
      | 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
   461
      | aux (Var ((s, i), T)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   462
        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
   463
      | aux t = t
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   464
  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
   465
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
   466
(* making fact and conjecture formulas *)
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   467
fun make_formula ctxt format type_sys 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
   468
  let
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
   469
    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
   470
    val t = t |> Envir.beta_eta_contract
42944
9e620869a576 improved Waldmeister support -- even run it by default on unit equational goals
blanchet
parents: 42943
diff changeset
   471
              |> transform_elim_prop
41211
1e2e16bc0077 no need to do a super-duper atomization if Metis fails afterwards anyway
blanchet
parents: 41199
diff changeset
   472
              |> Object_Logic.atomize_term thy
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   473
    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
   474
    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
   475
              |> Raw_Simplifier.rewrite_term thy
369dfc819056 unfold set constants in Sledgehammer/ATP as well if Metis does it too
blanchet
parents: 42734
diff changeset
   476
                     (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
   477
              |> 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
   478
              |> presimp ? presimplify_term ctxt
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   479
              |> perhaps (try (HOLogic.dest_Trueprop))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   480
              |> introduce_combinators_in_term ctxt kind
38613
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   481
              |> kind <> Axiom ? freeze_term
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   482
    val (combformula, atomic_types) =
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   483
      combformula_from_prop thy format type_sys eq_as_iff t []
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   484
  in
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   485
    {name = name, locality = loc, kind = kind, combformula = combformula,
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   486
     atomic_types = atomic_types}
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   487
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   488
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   489
fun make_fact ctxt format type_sys keep_trivial eq_as_iff presimp
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   490
              ((name, loc), t) =
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   491
  case (keep_trivial,
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   492
        make_formula ctxt format type_sys eq_as_iff presimp name loc Axiom t) of
43001
f3492698dfc7 fixed trivial fact detection
blanchet
parents: 43000
diff changeset
   493
    (false, formula as {combformula = AAtom (CombConst ((s, _), _, _)), ...}) =>
f3492698dfc7 fixed trivial fact detection
blanchet
parents: 43000
diff changeset
   494
    if s = tptp_true then NONE else SOME formula
41990
7f2793d51efc add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents: 41770
diff changeset
   495
  | (_, formula) => SOME formula
42561
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
   496
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   497
fun make_conjecture ctxt format prem_kind type_sys ts =
38613
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   498
  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
   499
    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
   500
             let
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   501
               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
   502
                 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
   503
                   (Conjecture, I)
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   504
                 else
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   505
                   (prem_kind,
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   506
                    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
   507
                    else I)
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   508
              in
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   509
                t |> make_formula ctxt format type_sys true true
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   510
                                  (string_of_int j) General kind
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   511
                  |> maybe_negate
42709
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   512
              end)
38613
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   513
         (0 upto last) ts
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   514
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   515
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
   516
(** 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
   517
42886
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
   518
fun deep_freeze_atyp (TVar (_, S)) = TFree ("v", S)
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
   519
  | deep_freeze_atyp T = T
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
   520
val deep_freeze_type = map_atyps deep_freeze_atyp
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
   521
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
   522
val type_instance = Sign.typ_instance o Proof_Context.theory_of
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
   523
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
(* 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
   525
   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
   526
   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
   527
   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
   528
42886
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
   529
fun should_encode_type ctxt (nonmono_Ts as _ :: _) _ T =
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
   530
    exists (curry (type_instance ctxt) (deep_freeze_type T)) nonmono_Ts
42836
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   531
  | should_encode_type _ _ All_Types _ = true
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
   532
  | 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
   533
  | 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
   534
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   535
fun should_predicate_on_type ctxt nonmono_Ts (Preds (_, level, heaviness))
42834
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   536
                             should_predicate_on_var T =
42878
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   537
    (heaviness = Heavy orelse should_predicate_on_var ()) andalso
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   538
    should_encode_type ctxt nonmono_Ts level T
42834
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   539
  | should_predicate_on_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
   540
42836
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   541
fun is_var_or_bound_var (CombConst ((s, _), _, _)) =
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   542
    String.isPrefix bound_var_prefix s
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   543
  | is_var_or_bound_var (CombVar _) = true
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   544
  | is_var_or_bound_var _ = false
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   545
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   546
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
   547
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   548
fun should_tag_with_type _ _ _ Top_Level _ _ = false
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   549
  | should_tag_with_type ctxt nonmono_Ts (Tags (_, level, heaviness)) site u T =
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   550
    (case heaviness of
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   551
       Heavy => should_encode_type ctxt nonmono_Ts level T
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   552
     | Light =>
42836
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   553
       case (site, is_var_or_bound_var u) of
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   554
         (Eq_Arg, true) => should_encode_type ctxt nonmono_Ts level T
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   555
       | _ => false)
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   556
  | 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
   557
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   558
fun homogenized_type ctxt nonmono_Ts level =
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   559
  let
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   560
    val should_encode = should_encode_type ctxt nonmono_Ts level
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   561
    fun homo 0 T = if should_encode T then T else homo_infinite_type
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   562
      | homo ary (Type (@{type_name fun}, [T1, T2])) =
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   563
        homo 0 T1 --> homo (ary - 1) T2
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   564
      | homo _ _ = raise Fail "expected function type"
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   565
  in homo end
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
   566
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
   567
(** "hBOOL" and "hAPP" **)
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   568
42574
blanchet
parents: 42573
diff changeset
   569
type sym_info =
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   570
  {pred_sym : bool, min_ary : int, max_ary : int, typ : typ option}
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   571
42574
blanchet
parents: 42573
diff changeset
   572
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
   573
  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
   574
    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
   575
      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
   576
        (case head of
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   577
           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
   578
           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
   579
             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
   580
           else
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   581
             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
   582
               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
   583
                   (s, {pred_sym = true,
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   584
                        min_ary = if explicit_apply then 0 else ary,
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   585
                        max_ary = 0, typ = SOME T})
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   586
                   (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
   587
                       {pred_sym = pred_sym andalso top_level,
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   588
                        min_ary = Int.min (ary, min_ary),
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   589
                        max_ary = Int.max (ary, max_ary),
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   590
                        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
   591
            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
   592
         | _ => 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
   593
        #> 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
   594
      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
   595
  in aux true end
42674
af86324707f2 eta-expansion for SML/NJ
blanchet
parents: 42670
diff changeset
   596
fun add_fact_syms_to_table explicit_apply =
42834
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   597
  fact_lift (formula_fold NONE (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
   598
42675
223153bb68a1 added type annotation for SML/NJ
blanchet
parents: 42674
diff changeset
   599
val default_sym_table_entries : (string * sym_info) list =
43000
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   600
  [(tptp_equal, {pred_sym = true, min_ary = 2, max_ary = 2, typ = NONE}),
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   601
   (tptp_old_equal, {pred_sym = true, min_ary = 2, max_ary = 2, typ = NONE}),
42966
4e2d6c1e5392 more work on parsing LEO-II proofs without lambdas
blanchet
parents: 42963
diff changeset
   602
   (make_fixed_const predicator_name,
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   603
    {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
   604
  ([tptp_false, tptp_true]
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   605
   |> 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
   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 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
   608
  Symtab.empty |> fold Symtab.default default_sym_table_entries
42574
blanchet
parents: 42573
diff changeset
   609
               |> 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
   610
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
   611
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
   612
  case Symtab.lookup sym_tab s of
42574
blanchet
parents: 42573
diff changeset
   613
    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
   614
  | 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
   615
    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
   616
      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
   617
      let val s = s |> unmangled_const_name |> invert_const in
42966
4e2d6c1e5392 more work on parsing LEO-II proofs without lambdas
blanchet
parents: 42963
diff changeset
   618
        if s = predicator_name then 1
4e2d6c1e5392 more work on parsing LEO-II proofs without lambdas
blanchet
parents: 42963
diff changeset
   619
        else if s = app_op_name then 2
4e2d6c1e5392 more work on parsing LEO-II proofs without lambdas
blanchet
parents: 42963
diff changeset
   620
        else if s = type_pred_name then 1
42557
ae0deb39a254 fixed min-arity computation when "explicit_apply" is specified
blanchet
parents: 42556
diff changeset
   621
        else 0
42547
b5eec0c99528 fixed arity of special constants if "explicit_apply" is set
blanchet
parents: 42546
diff changeset
   622
      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
   623
    | NONE => 0
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   624
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   625
(* 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
   626
   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
   627
   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
   628
   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
   629
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
   630
  case Symtab.lookup sym_tab s of
42574
blanchet
parents: 42573
diff changeset
   631
    SOME ({pred_sym, min_ary, max_ary, ...} : sym_info) =>
blanchet
parents: 42573
diff changeset
   632
    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
   633
  | NONE => false
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   634
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   635
val predicator_combconst =
42966
4e2d6c1e5392 more work on parsing LEO-II proofs without lambdas
blanchet
parents: 42963
diff changeset
   636
  CombConst (`make_fixed_const predicator_name, @{typ "bool => bool"}, [])
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   637
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
   638
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   639
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
   640
  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
   641
    (CombConst ((s, _), _, _), _) =>
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   642
    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
   643
  | _ => 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
   644
42544
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   645
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
   646
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   647
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
   648
  let
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   649
    val head_T = combtyp_of head
42693
3c2baf9b3c61 reverted 6efda6167e5d because unsound -- Vampire found a counterexample
blanchet
parents: 42691
diff changeset
   650
    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
   651
    val explicit_app =
42966
4e2d6c1e5392 more work on parsing LEO-II proofs without lambdas
blanchet
parents: 42963
diff changeset
   652
      CombConst (`make_fixed_const app_op_name, head_T --> head_T,
42693
3c2baf9b3c61 reverted 6efda6167e5d because unsound -- Vampire found a counterexample
blanchet
parents: 42691
diff changeset
   653
                 [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
   654
  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
   655
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
   656
42565
93f58e6a6f3e proper handling of partially applied proxy symbols
blanchet
parents: 42564
diff changeset
   657
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
   658
  let
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   659
    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
   660
      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
   661
        (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
   662
        args |> map aux
42557
ae0deb39a254 fixed min-arity computation when "explicit_apply" is specified
blanchet
parents: 42556
diff changeset
   663
             |> 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
   664
             |>> 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
   665
             |-> 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
   666
      | (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
   667
  in aux end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   668
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
   669
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
   670
  | 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
   671
    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
   672
  | 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
   673
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
   674
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
   675
  | filter_type_args thy s arity T_args =
42834
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   676
    let
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   677
      (* will throw "TYPE" for pseudo-constants *)
42966
4e2d6c1e5392 more work on parsing LEO-II proofs without lambdas
blanchet
parents: 42963
diff changeset
   678
      val U = if s = app_op_name then
42834
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   679
                @{typ "('a => 'b) => 'a => 'b"} |> Logic.varifyT_global
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   680
              else
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   681
                s |> Sign.the_const_type thy
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   682
    in
42781
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   683
      case Term.add_tvarsT (U |> chop_fun arity |> snd) [] of
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   684
        [] => []
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   685
      | res_U_vars =>
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   686
        let val U_args = (s, U) |> Sign.const_typargs thy in
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   687
          U_args ~~ T_args
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   688
          |> map_filter (fn (U, T) =>
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   689
                            if member (op =) res_U_vars (dest_TVar U) then
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   690
                              SOME T
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   691
                            else
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   692
                              NONE)
4b7a988a0213 optimized a common case
blanchet
parents: 42780
diff changeset
   693
        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
   694
    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
   695
    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
   696
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   697
fun enforce_type_arg_policy_in_combterm ctxt nonmono_Ts type_sys =
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
  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
   699
    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
   700
    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
   701
        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
   702
      | 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
   703
        let
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   704
          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
   705
          val (T, T_args) =
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   706
            (* 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
   707
               anyway, by distinguishing overloads only on the homogenized
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   708
               result type. Don't do it for lightweight type systems, though,
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   709
               since it leads to too many unsound proofs. *)
42966
4e2d6c1e5392 more work on parsing LEO-II proofs without lambdas
blanchet
parents: 42963
diff changeset
   710
            if s = const_prefix ^ app_op_name 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
   711
               length T_args = 2 andalso
42836
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   712
               not (is_type_sys_virtually_sound type_sys) andalso
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   713
               heaviness_of_type_sys type_sys = Heavy then
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   714
              T_args |> map (homogenized_type ctxt nonmono_Ts level 0)
42701
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   715
                     |> (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
   716
                                    (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
   717
                                  end)
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   718
            else
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   719
              (T, T_args)
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   720
        in
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   721
          (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
   722
             NONE => (name, T_args)
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   723
           | 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
   724
             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
   725
               val s'' = invert_const s''
42831
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   726
               fun filtered_T_args false = T_args
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   727
                 | 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
   728
             in
42701
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   729
               case type_arg_policy type_sys s'' of
42831
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   730
                 Explicit_Type_Args drop_args =>
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   731
                 (name, filtered_T_args drop_args)
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   732
               | Mangled_Type_Args drop_args =>
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   733
                 (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
   734
               | 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
   735
             end)
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   736
          |> (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
   737
        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
   738
      | 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
   739
  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
   740
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   741
fun repair_combterm ctxt format nonmono_Ts type_sys sym_tab =
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   742
  not (is_setting_higher_order format type_sys)
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   743
  ? (introduce_explicit_apps_in_combterm sym_tab
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   744
     #> introduce_predicators_in_combterm sym_tab)
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   745
  #> enforce_type_arg_policy_in_combterm ctxt nonmono_Ts type_sys
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   746
fun repair_fact ctxt format nonmono_Ts type_sys sym_tab =
42701
500e4a88675e reintroduce unsoundnesses taken out in 4d29b4785f43 and 3c2baf9b3c61 but only for unsound type systems
blanchet
parents: 42700
diff changeset
   747
  update_combformula (formula_map
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   748
      (repair_combterm ctxt format 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
   749
744215c3e90c got 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
(** 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
   751
744215c3e90c got 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
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
   753
  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
   754
    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
   755
    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
   756
  in
42612
bb9143d7e217 cosmetics
blanchet
parents: 42608
diff changeset
   757
    Formula (helper_prefix ^ "ti_ti", Axiom,
43000
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   758
             AAtom (ATerm (`I tptp_equal, [tag (tag (var "Y")), tag (var "Y")]))
42879
3b9669b11d33 generate useful information for type axioms
blanchet
parents: 42878
diff changeset
   759
             |> close_formula_universally, simp_info, 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
   760
  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
   761
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   762
fun helper_facts_for_sym ctxt format 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
   763
  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
   764
    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
   765
    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
   766
      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
   767
      val unmangled_s = mangled_s |> unmangled_const_name
42893
fd4babefe3f2 prevent unsound combinator proofs in partially typed polymorphic type systems
blanchet
parents: 42886
diff changeset
   768
      fun dub_and_inst c needs_fairly_sound (th, j) =
42881
dbdfe2d5b6ab automatically use "metisFT" when typed helpers are necessary
blanchet
parents: 42879
diff changeset
   769
        ((c ^ "_" ^ string_of_int j ^
42893
fd4babefe3f2 prevent unsound combinator proofs in partially typed polymorphic type systems
blanchet
parents: 42886
diff changeset
   770
          (if needs_fairly_sound then typed_helper_suffix
42881
dbdfe2d5b6ab automatically use "metisFT" when typed helpers are necessary
blanchet
parents: 42879
diff changeset
   771
           else untyped_helper_suffix),
dbdfe2d5b6ab automatically use "metisFT" when typed helpers are necessary
blanchet
parents: 42879
diff changeset
   772
          General),
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
   773
         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
   774
           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
   775
                    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
   776
                  | _ => 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
   777
                 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
   778
                ? (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
   779
                     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
   780
                   | 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
   781
         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
   782
      fun make_facts eq_as_iff =
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   783
        map_filter (make_fact ctxt format type_sys false eq_as_iff false)
42893
fd4babefe3f2 prevent unsound combinator proofs in partially typed polymorphic type systems
blanchet
parents: 42886
diff changeset
   784
      val fairly_sound = 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
   785
    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
   786
      metis_helpers
42894
ce269ee43800 further improvements to "poly_{preds,tags}_{bang,query}" -- better solution to the combinator problem + make sure type assumptions can be discharged
blanchet
parents: 42893
diff changeset
   787
      |> maps (fn (metis_s, (needs_fairly_sound, 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
   788
                  if metis_s <> unmangled_s orelse
42894
ce269ee43800 further improvements to "poly_{preds,tags}_{bang,query}" -- better solution to the combinator problem + make sure type assumptions can be discharged
blanchet
parents: 42893
diff changeset
   789
                     (needs_fairly_sound andalso not fairly_sound) 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
   790
                    []
744215c3e90c got 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
                  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
   792
                    ths ~~ (1 upto length ths)
42893
fd4babefe3f2 prevent unsound combinator proofs in partially typed polymorphic type systems
blanchet
parents: 42886
diff changeset
   793
                    |> map (dub_and_inst mangled_s needs_fairly_sound)
fd4babefe3f2 prevent unsound combinator proofs in partially typed polymorphic type systems
blanchet
parents: 42886
diff changeset
   794
                    |> make_facts (not needs_fairly_sound))
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
   795
    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
   796
  | NONE => []
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   797
fun helper_facts_for_sym_table ctxt format type_sys sym_tab =
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   798
  Symtab.fold_rev (append o helper_facts_for_sym ctxt format type_sys) sym_tab
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   799
                  []
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
   800
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   801
fun translate_atp_fact ctxt format type_sys keep_trivial =
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   802
  `(make_fact ctxt format type_sys keep_trivial true true o apsnd prop_of)
42573
744215c3e90c got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents: 42572
diff changeset
   803
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   804
fun translate_formulas ctxt format prem_kind type_sys hyp_ts concl_t
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   805
                       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
   806
  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
   807
    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
   808
    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
   809
    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
   810
      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
   811
      |> 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
   812
                      | (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
   813
      |> 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
   814
    (* 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
   815
       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
   816
    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
   817
    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
   818
    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
   819
    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
   820
    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
   821
    val tycons = type_consts_of_terms thy all_ts
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   822
    val conjs =
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   823
      hyp_ts @ [concl_t] |> make_conjecture ctxt format prem_kind 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
   824
    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
   825
      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
   826
      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
   827
    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
   828
  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
   829
    (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
   830
  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
   831
744215c3e90c got 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
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
   833
    (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
   834
  | 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
   835
    (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
   836
744215c3e90c got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents: 42572
diff changeset
   837
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
   838
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   839
fun type_pred_combterm ctxt nonmono_Ts type_sys T tm =
42966
4e2d6c1e5392 more work on parsing LEO-II proofs without lambdas
blanchet
parents: 42963
diff changeset
   840
  CombApp (CombConst (`make_fixed_const type_pred_name, T --> @{typ bool}, [T])
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   841
           |> 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
   842
           tm)
744215c3e90c got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents: 42572
diff changeset
   843
42878
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   844
fun var_occurs_positively_naked_in_term _ (SOME false) _ accum = accum
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   845
  | var_occurs_positively_naked_in_term name _ (ATerm ((s, _), tms)) accum =
43000
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   846
    accum orelse (is_tptp_equal s andalso member (op =) tms (ATerm (name, [])))
42878
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   847
fun is_var_nonmonotonic_in_formula _ _ (SOME false) _ = false
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   848
  | is_var_nonmonotonic_in_formula pos phi _ name =
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   849
    formula_fold pos (var_occurs_positively_naked_in_term name) phi false
42834
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   850
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   851
fun mk_const_aterm x T_args args =
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   852
  ATerm (x, map (fo_term_from_typ false) T_args @ args)
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   853
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   854
fun tag_with_type ctxt format nonmono_Ts type_sys T tm =
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   855
  CombConst (`make_fixed_const type_tag_name, T --> T, [T])
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   856
  |> enforce_type_arg_policy_in_combterm ctxt nonmono_Ts type_sys
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   857
  |> term_from_combterm ctxt format nonmono_Ts type_sys Top_Level
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   858
  |> (fn ATerm (s, tms) => ATerm (s, tms @ [tm]))
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   859
and term_from_combterm ctxt format 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
   860
  let
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   861
    fun aux site u =
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   862
      let
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   863
        val (head, args) = strip_combterm_comb u
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   864
        val (x as (s, _), T_args) =
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   865
          case head of
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   866
            CombConst (name, _, T_args) => (name, T_args)
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   867
          | CombVar (name, _) => (name, [])
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   868
          | CombApp _ => raise Fail "impossible \"CombApp\""
43000
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   869
        val arg_site = if site = Top_Level andalso is_tptp_equal s then Eq_Arg
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   870
                       else Elsewhere
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   871
        val t = mk_const_aterm x T_args (map (aux arg_site) args)
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   872
        val T = combtyp_of u
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   873
      in
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   874
        t |> (if should_tag_with_type ctxt nonmono_Ts type_sys site u T then
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   875
                tag_with_type ctxt format nonmono_Ts type_sys T
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   876
              else
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   877
                I)
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   878
      end
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   879
  in aux end
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   880
and formula_from_combformula ctxt format nonmono_Ts type_sys
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   881
                             should_predicate_on_var =
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
   882
  let
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   883
    val higher_order = is_setting_higher_order format type_sys
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   884
    val do_term = term_from_combterm ctxt format nonmono_Ts type_sys Top_Level
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
   885
    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
   886
      case type_sys of
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   887
        Simple_Types level =>
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   888
        homogenized_type ctxt nonmono_Ts level 0
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   889
        #> mangled_type higher_order false 0 #> SOME
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
   890
      | _ => K NONE
42878
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   891
    fun do_out_of_bound_type pos phi universal (name, T) =
42834
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   892
      if should_predicate_on_type ctxt nonmono_Ts type_sys
42878
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   893
             (fn () => should_predicate_on_var pos phi universal name) T then
42834
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   894
        CombVar (name, T)
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   895
        |> type_pred_combterm ctxt nonmono_Ts type_sys T
42878
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   896
        |> do_term |> AAtom |> SOME
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
   897
      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
   898
        NONE
42878
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   899
    fun do_formula pos (AQuant (q, xs, phi)) =
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   900
        let
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   901
          val phi = phi |> do_formula pos
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   902
          val universal = Option.map (q = AExists ? not) pos
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   903
        in
42834
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   904
          AQuant (q, xs |> map (apsnd (fn NONE => NONE
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   905
                                        | SOME T => do_bound_type T)),
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   906
                  (if q = AForall then mk_ahorn else fold_rev (mk_aconn AAnd))
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   907
                      (map_filter
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   908
                           (fn (_, NONE) => NONE
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   909
                             | (s, SOME T) =>
42878
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   910
                               do_out_of_bound_type pos phi universal (s, T))
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   911
                           xs)
42834
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   912
                      phi)
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
   913
        end
42878
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   914
      | do_formula pos (AConn conn) = aconn_map pos do_formula conn
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   915
      | do_formula _ (AAtom tm) = AAtom (do_term tm)
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   916
  in do_formula o SOME 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
   917
42956
9aeb0f6ad971 filter Waldmeister facts better -- and don't encode type classes as predicates, since it doesn't like conditional equations
blanchet
parents: 42951
diff changeset
   918
fun bound_atomic_types format type_sys Ts =
42727
f365f5138771 ensure type class predicates are generated in symbol declarations (for "poly_preds" and similar)
blanchet
parents: 42726
diff changeset
   919
  mk_ahorn (map (formula_from_fo_literal o fo_literal_from_type_literal)
42956
9aeb0f6ad971 filter Waldmeister facts better -- and don't encode type classes as predicates, since it doesn't like conditional equations
blanchet
parents: 42951
diff changeset
   920
                (atp_type_literals_for_types format type_sys Axiom Ts))
42727
f365f5138771 ensure type class predicates are generated in symbol declarations (for "poly_preds" and similar)
blanchet
parents: 42726
diff changeset
   921
42956
9aeb0f6ad971 filter Waldmeister facts better -- and don't encode type classes as predicates, since it doesn't like conditional equations
blanchet
parents: 42951
diff changeset
   922
fun formula_for_fact ctxt format 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
   923
                     ({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
   924
  combformula
f365f5138771 ensure type class predicates are generated in symbol declarations (for "poly_preds" and similar)
blanchet
parents: 42726
diff changeset
   925
  |> close_combformula_universally
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   926
  |> formula_from_combformula ctxt format nonmono_Ts type_sys
42878
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
   927
                              is_var_nonmonotonic_in_formula true
42956
9aeb0f6ad971 filter Waldmeister facts better -- and don't encode type classes as predicates, since it doesn't like conditional equations
blanchet
parents: 42951
diff changeset
   928
  |> bound_atomic_types format 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
   929
  |> 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
   930
744215c3e90c got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents: 42572
diff changeset
   931
(* 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
   932
   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
   933
   the remote provers might care. *)
42956
9aeb0f6ad971 filter Waldmeister facts better -- and don't encode type classes as predicates, since it doesn't like conditional equations
blanchet
parents: 42951
diff changeset
   934
fun formula_line_for_fact ctxt format prefix nonmono_Ts type_sys
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   935
                          (j, formula as {name, locality, kind, ...}) =
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   936
  Formula (prefix ^ (if polymorphism_of_type_sys type_sys = Polymorphic then ""
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   937
                     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
   938
           ascii_of name,
42956
9aeb0f6ad971 filter Waldmeister facts better -- and don't encode type classes as predicates, since it doesn't like conditional equations
blanchet
parents: 42951
diff changeset
   939
           kind, formula_for_fact ctxt format nonmono_Ts type_sys formula, NONE,
42879
3b9669b11d33 generate useful information for type axioms
blanchet
parents: 42878
diff changeset
   940
           case locality of
3b9669b11d33 generate useful information for type axioms
blanchet
parents: 42878
diff changeset
   941
             Intro => intro_info
3b9669b11d33 generate useful information for type axioms
blanchet
parents: 42878
diff changeset
   942
           | Elim => elim_info
3b9669b11d33 generate useful information for type axioms
blanchet
parents: 42878
diff changeset
   943
           | Simp => simp_info
3b9669b11d33 generate useful information for type axioms
blanchet
parents: 42878
diff changeset
   944
           | _ => 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
   945
42939
0134d6650092 added support for remote Waldmeister
blanchet
parents: 42895
diff changeset
   946
fun formula_line_for_class_rel_clause
0134d6650092 added support for remote Waldmeister
blanchet
parents: 42895
diff changeset
   947
        (ClassRelClause {name, subclass, superclass, ...}) =
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
   948
  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
   949
    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
   950
             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
   951
                               AAtom (ATerm (superclass, [ty_arg]))])
42879
3b9669b11d33 generate useful information for type axioms
blanchet
parents: 42878
diff changeset
   952
             |> close_formula_universally, intro_info, 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
   953
  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
   954
744215c3e90c got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents: 42572
diff changeset
   955
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
   956
    (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
   957
  | 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
   958
    (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
   959
42939
0134d6650092 added support for remote Waldmeister
blanchet
parents: 42895
diff changeset
   960
fun formula_line_for_arity_clause
0134d6650092 added support for remote Waldmeister
blanchet
parents: 42895
diff changeset
   961
        (ArityClause {name, prem_lits, concl_lits, ...}) =
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
   962
  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
   963
           mk_ahorn (map (formula_from_fo_literal o apfst not
42895
c8d9bce88f89 name tuning
blanchet
parents: 42894
diff changeset
   964
                          o fo_literal_from_arity_literal) prem_lits)
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
   965
                    (formula_from_fo_literal
42895
c8d9bce88f89 name tuning
blanchet
parents: 42894
diff changeset
   966
                         (fo_literal_from_arity_literal concl_lits))
42879
3b9669b11d33 generate useful information for type axioms
blanchet
parents: 42878
diff changeset
   967
           |> close_formula_universally, intro_info, 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
   968
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   969
fun formula_line_for_conjecture ctxt format 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
   970
        ({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
   971
  Formula (conjecture_prefix ^ name, kind,
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   972
           formula_from_combformula ctxt format nonmono_Ts type_sys
42939
0134d6650092 added support for remote Waldmeister
blanchet
parents: 42895
diff changeset
   973
               is_var_nonmonotonic_in_formula false
0134d6650092 added support for remote Waldmeister
blanchet
parents: 42895
diff changeset
   974
               (close_combformula_universally combformula)
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
   975
           |> 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
   976
42956
9aeb0f6ad971 filter Waldmeister facts better -- and don't encode type classes as predicates, since it doesn't like conditional equations
blanchet
parents: 42951
diff changeset
   977
fun free_type_literals format type_sys
9aeb0f6ad971 filter Waldmeister facts better -- and don't encode type classes as predicates, since it doesn't like conditional equations
blanchet
parents: 42951
diff changeset
   978
                       ({atomic_types, ...} : translated_formula) =
9aeb0f6ad971 filter Waldmeister facts better -- and don't encode type classes as predicates, since it doesn't like conditional equations
blanchet
parents: 42951
diff changeset
   979
  atomic_types |> atp_type_literals_for_types format type_sys Conjecture
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
   980
               |> 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
   981
744215c3e90c got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents: 42572
diff changeset
   982
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
   983
  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
   984
           formula_from_fo_literal lit, NONE, NONE)
42956
9aeb0f6ad971 filter Waldmeister facts better -- and don't encode type classes as predicates, since it doesn't like conditional equations
blanchet
parents: 42951
diff changeset
   985
fun formula_lines_for_free_types format type_sys 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
   986
  let
42956
9aeb0f6ad971 filter Waldmeister facts better -- and don't encode type classes as predicates, since it doesn't like conditional equations
blanchet
parents: 42951
diff changeset
   987
    val litss = map (free_type_literals format type_sys) 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
   988
    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
   989
  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
   990
744215c3e90c got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents: 42572
diff changeset
   991
(** 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
   992
42886
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
   993
fun insert_type ctxt get_T x xs =
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
   994
  let val T = get_T x in
42886
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
   995
    if exists (curry (type_instance ctxt) T o get_T) xs then xs
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
   996
    else x :: filter_out (curry (type_instance ctxt o swap) T o get_T) xs
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
   997
  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
   998
42574
blanchet
parents: 42573
diff changeset
   999
fun should_declare_sym type_sys pred_sym s =
42998
1c80902d0456 fully support all type system encodings in typed formats (TFF, THF)
blanchet
parents: 42994
diff changeset
  1000
  is_tptp_user_symbol s andalso not (String.isPrefix bound_var_prefix s) andalso
42894
ce269ee43800 further improvements to "poly_{preds,tags}_{bang,query}" -- better solution to the combinator problem + make sure type assumptions can be discharged
blanchet
parents: 42893
diff changeset
  1001
  (case type_sys of
ce269ee43800 further improvements to "poly_{preds,tags}_{bang,query}" -- better solution to the combinator problem + make sure type assumptions can be discharged
blanchet
parents: 42893
diff changeset
  1002
     Simple_Types _ => true
ce269ee43800 further improvements to "poly_{preds,tags}_{bang,query}" -- better solution to the combinator problem + make sure type assumptions can be discharged
blanchet
parents: 42893
diff changeset
  1003
   | Tags (_, _, Light) => true
ce269ee43800 further improvements to "poly_{preds,tags}_{bang,query}" -- better solution to the combinator problem + make sure type assumptions can be discharged
blanchet
parents: 42893
diff changeset
  1004
   | _ => not pred_sym)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1005
42886
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1006
fun sym_decl_table_for_facts ctxt type_sys repaired_sym_tab (conjs, facts) =
42574
blanchet
parents: 42573
diff changeset
  1007
  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
  1008
    fun add_combterm in_conj tm =
42574
blanchet
parents: 42573
diff changeset
  1009
      let val (head, args) = strip_combterm_comb tm in
blanchet
parents: 42573
diff changeset
  1010
        (case head of
blanchet
parents: 42573
diff changeset
  1011
           CombConst ((s, s'), T, T_args) =>
blanchet
parents: 42573
diff changeset
  1012
           let val pred_sym = is_pred_sym repaired_sym_tab s in
blanchet
parents: 42573
diff changeset
  1013
             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
  1014
               Symtab.map_default (s, [])
42886
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1015
                   (insert_type ctxt #3 (s', T_args, T, pred_sym, length args,
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1016
                                         in_conj))
42574
blanchet
parents: 42573
diff changeset
  1017
             else
blanchet
parents: 42573
diff changeset
  1018
               I
blanchet
parents: 42573
diff changeset
  1019
           end
blanchet
parents: 42573
diff changeset
  1020
         | _ => 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
  1021
        #> fold (add_combterm in_conj) args
42574
blanchet
parents: 42573
diff changeset
  1022
      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
  1023
    fun add_fact in_conj =
42834
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
  1024
      fact_lift (formula_fold NONE (K (add_combterm in_conj)))
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
  1025
  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
  1026
    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
  1027
    |> 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
  1028
       ? (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
  1029
  end
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
  1030
42886
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1031
(* These types witness that the type classes they belong to allow infinite
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1032
   models and hence that any types with these type classes is monotonic. *)
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1033
val known_infinite_types = [@{typ nat}, @{typ int}, @{typ "nat => bool"}]
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1034
42685
7a5116bd63b7 documentation tuning
blanchet
parents: 42684
diff changeset
  1035
(* This inference is described in section 2.3 of Claessen et al.'s "Sorting it
7a5116bd63b7 documentation tuning
blanchet
parents: 42684
diff changeset
  1036
   out with monotonicity" paper presented at CADE 2011. *)
42886
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1037
fun add_combterm_nonmonotonic_types _ _ (SOME false) _ = I
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1038
  | add_combterm_nonmonotonic_types ctxt level _
43000
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
  1039
        (CombApp (CombApp (CombConst ((s, _), Type (_, [T, _]), _), tm1), tm2)) =
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
  1040
    (is_tptp_equal s andalso 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
  1041
     (case level of
42886
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1042
        Nonmonotonic_Types =>
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1043
        not (is_type_surely_infinite ctxt known_infinite_types T)
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1044
      | Finite_Types => is_type_surely_finite ctxt T
42886
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1045
      | _ => true)) ? insert_type ctxt I (deep_freeze_type T)
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1046
  | add_combterm_nonmonotonic_types _ _ _ _ = I
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1047
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
  1048
                                            : translated_formula) =
42834
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
  1049
  formula_fold (SOME (kind <> Conjecture))
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1050
               (add_combterm_nonmonotonic_types ctxt level) combformula
42886
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1051
fun 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
  1052
  let val level = level_of_type_sys type_sys in
42886
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1053
    if level = Nonmonotonic_Types orelse level = Finite_Types then
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1054
      [] |> fold (add_fact_nonmonotonic_types ctxt level) facts
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1055
         (* We must add "bool" in case the helper "True_or_False" is added