src/HOL/Tools/ATP/atp_translate.ML
author blanchet
Wed, 19 Oct 2011 16:36:13 +0200
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child 45299 ee584ff987c3
permissions -rw-r--r--
avoid generating too meta theorems -- this sometimes leads to type errors, e.g. when "pp" is applied to a "prop" instead of a "bool"
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(*  Title:      HOL/Tools/ATP/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 Metis and Sledgehammer.
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*)
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signature ATP_TRANSLATE =
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sig
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  type ('a, 'b) ho_term = ('a, 'b) ATP_Problem.ho_term
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  type connective = ATP_Problem.connective
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  type ('a, 'b, 'c) formula = ('a, 'b, 'c) ATP_Problem.formula
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  type tptp_format = ATP_Problem.tptp_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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  datatype locality =
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    General | Helper | Induction | Intro | Elim | Simp | Local | Assum | Chained
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  datatype polymorphism = Polymorphic | Raw_Monomorphic | Mangled_Monomorphic
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  datatype soundness = Sound_Modulo_Infiniteness | Sound
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  datatype granularity = All_Vars | Positively_Naked_Vars | Ghost_Type_Arg_Vars
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  datatype type_level =
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    All_Types |
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    Noninf_Nonmono_Types of soundness * granularity |
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    Fin_Nonmono_Types of granularity |
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    Const_Arg_Types |
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    No_Types
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  type type_enc
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  val type_tag_idempotence : bool Config.T
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  val type_tag_arguments : bool Config.T
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  val no_lambdasN : string
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  val concealedN : string
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  val liftingN : string
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  val combinatorsN : string
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  val hybridN : string
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  val lambdasN : string
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  val smartN : string
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  val schematic_var_prefix : string
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  val fixed_var_prefix : string
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  val tvar_prefix : string
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  val tfree_prefix : string
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  val const_prefix : string
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  val type_const_prefix : string
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  val class_prefix : string
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  val polymorphic_free_prefix : string
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  val skolem_const_prefix : string
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  val old_skolem_const_prefix : string
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  val new_skolem_const_prefix : string
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  val type_decl_prefix : string
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  val sym_decl_prefix : string
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  val guards_sym_formula_prefix : string
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  val tags_sym_formula_prefix : string
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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 class_rel_clause_prefix : string
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  val arity_clause_prefix : string
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  val tfree_clause_prefix : string
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  val typed_helper_suffix : string
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  val untyped_helper_suffix : string
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  val type_tag_idempotence_helper_name : string
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  val predicator_name : string
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  val app_op_name : string
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  val type_guard_name : string
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  val type_tag_name : string
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  val simple_type_prefix : string
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  val prefixed_predicator_name : string
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  val prefixed_app_op_name : string
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  val prefixed_type_tag_name : string
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  val ascii_of : string -> string
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  val unascii_of : string -> string
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  val strip_prefix_and_unascii : string -> string -> string option
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  val proxy_table : (string * (string * (thm * (string * string)))) list
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  val proxify_const : string -> (string * string) option
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  val invert_const : string -> string
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  val unproxify_const : string -> string
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  val new_skolem_var_name_from_const : string -> string
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  val atp_irrelevant_consts : string list
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  val atp_schematic_consts_of : term -> typ list Symtab.table
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  val is_type_enc_higher_order : type_enc -> bool
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  val polymorphism_of_type_enc : type_enc -> polymorphism
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  val level_of_type_enc : type_enc -> type_level
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  val is_type_enc_quasi_sound : type_enc -> bool
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  val is_type_enc_fairly_sound : type_enc -> bool
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  val type_enc_from_string : soundness -> string -> type_enc
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  val adjust_type_enc : tptp_format -> type_enc -> type_enc
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  val mk_aconns :
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    connective -> ('a, 'b, 'c) formula list -> ('a, 'b, 'c) formula
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  val unmangled_const : string -> string * (string, 'b) ho_term list
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  val unmangled_const_name : string -> string
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  val helper_table : ((string * bool) * thm list) list
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  val factsN : string
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  val prepare_atp_problem :
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    Proof.context -> tptp_format -> formula_kind -> formula_kind -> type_enc
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    -> bool -> string -> bool -> bool -> term list -> term
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    -> ((string * locality) * term) list
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    -> string problem * string Symtab.table * int * int
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       * (string * locality) 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 ATP_Translate : ATP_TRANSLATE =
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struct
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open ATP_Util
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open ATP_Problem
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type name = string * string
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val type_tag_idempotence =
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  Attrib.setup_config_bool @{binding atp_type_tag_idempotence} (K false)
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val type_tag_arguments =
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  Attrib.setup_config_bool @{binding atp_type_tag_arguments} (K false)
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val no_lambdasN = "no_lambdas"
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val concealedN = "concealed"
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val liftingN = "lifting"
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val combinatorsN = "combinators"
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val hybridN = "hybrid"
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val lambdasN = "lambdas"
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val smartN = "smart"
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val generate_info = false (* experimental *)
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fun isabelle_info s =
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  if generate_info then SOME (ATerm ("[]", [ATerm ("isabelle_" ^ s, [])]))
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  else NONE
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val introN = "intro"
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val elimN = "elim"
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val simpN = "simp"
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(* TFF1 is still in development, and it is still unclear whether symbols will be
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   allowed to have types like "$tType > $o" (i.e., "![A : $tType] : $o"), with
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   "dummy" type variables. *)
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val avoid_first_order_dummy_type_vars = true
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val bound_var_prefix = "B_"
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val all_bound_var_prefix = "BA_"
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val exist_bound_var_prefix = "BE_"
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val schematic_var_prefix = "V_"
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val fixed_var_prefix = "v_"
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val tvar_prefix = "T_"
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val tfree_prefix = "t_"
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val const_prefix = "c_"
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val type_const_prefix = "tc_"
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val simple_type_prefix = "s_"
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val class_prefix = "cl_"
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val polymorphic_free_prefix = "poly_free"
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val skolem_const_prefix = "ATP" ^ Long_Name.separator ^ "Sko"
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val old_skolem_const_prefix = skolem_const_prefix ^ "o"
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val new_skolem_const_prefix = skolem_const_prefix ^ "n"
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val type_decl_prefix = "ty_"
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val sym_decl_prefix = "sy_"
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val guards_sym_formula_prefix = "gsy_"
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val tags_sym_formula_prefix = "tsy_"
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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 = "clar_"
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val arity_clause_prefix = "arity_"
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val tfree_clause_prefix = "tfree_"
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val lambda_fact_prefix = "ATP.lambda_"
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val typed_helper_suffix = "_T"
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val untyped_helper_suffix = "_U"
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val type_tag_idempotence_helper_name = helper_prefix ^ "ti_idem"
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val predicator_name = "pp"
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val app_op_name = "aa"
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val type_guard_name = "gg"
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val type_tag_name = "tt"
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val prefixed_predicator_name = const_prefix ^ predicator_name
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val prefixed_app_op_name = const_prefix ^ app_op_name
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val prefixed_type_tag_name = const_prefix ^ type_tag_name
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(* Freshness almost guaranteed! *)
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val atp_weak_prefix = "ATP:"
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(*Escaping of special characters.
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  Alphanumeric characters are left unchanged.
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  The character _ goes to __
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  Characters in the range ASCII space to / go to _A to _P, respectively.
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  Other characters go to _nnn where nnn is the decimal ASCII code.*)
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val upper_a_minus_space = Char.ord #"A" - Char.ord #" "
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fun stringN_of_int 0 _ = ""
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  | stringN_of_int k n =
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    stringN_of_int (k - 1) (n div 10) ^ string_of_int (n mod 10)
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fun ascii_of_char c =
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  if Char.isAlphaNum c then
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    String.str c
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  else if c = #"_" then
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    "__"
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  else if #" " <= c andalso c <= #"/" then
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    "_" ^ String.str (Char.chr (Char.ord c + upper_a_minus_space))
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  else
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    (* fixed width, in case more digits follow *)
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    "_" ^ stringN_of_int 3 (Char.ord c)
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val ascii_of = String.translate ascii_of_char
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(** Remove ASCII armoring from names in proof files **)
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(* We don't raise error exceptions because this code can run inside a worker
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   thread. Also, the errors are impossible. *)
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val unascii_of =
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  let
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    fun un rcs [] = String.implode(rev rcs)
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      | un rcs [#"_"] = un (#"_" :: rcs) [] (* ERROR *)
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        (* Three types of _ escapes: __, _A to _P, _nnn *)
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      | un rcs (#"_" :: #"_" :: cs) = un (#"_" :: rcs) cs
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      | un rcs (#"_" :: c :: cs) =
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        if #"A" <= c andalso c<= #"P" then
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          (* translation of #" " to #"/" *)
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          un (Char.chr (Char.ord c - upper_a_minus_space) :: rcs) cs
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        else
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          let val digits = List.take (c :: cs, 3) handle General.Subscript => [] in
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            case Int.fromString (String.implode digits) of
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              SOME n => un (Char.chr n :: rcs) (List.drop (cs, 2))
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            | NONE => un (c :: #"_" :: rcs) cs (* ERROR *)
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          end
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      | un rcs (c :: cs) = un (c :: rcs) cs
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  in un [] o String.explode end
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(* If string s has the prefix s1, return the result of deleting it,
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   un-ASCII'd. *)
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fun strip_prefix_and_unascii s1 s =
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  if String.isPrefix s1 s then
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    SOME (unascii_of (String.extract (s, size s1, NONE)))
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  else
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    NONE
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val proxy_table =
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  [("c_False", (@{const_name False}, (@{thm fFalse_def},
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       ("fFalse", @{const_name ATP.fFalse})))),
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   ("c_True", (@{const_name True}, (@{thm fTrue_def},
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       ("fTrue", @{const_name ATP.fTrue})))),
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   ("c_Not", (@{const_name Not}, (@{thm fNot_def},
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       ("fNot", @{const_name ATP.fNot})))),
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   ("c_conj", (@{const_name conj}, (@{thm fconj_def},
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       ("fconj", @{const_name ATP.fconj})))),
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   ("c_disj", (@{const_name disj}, (@{thm fdisj_def},
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       ("fdisj", @{const_name ATP.fdisj})))),
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   ("c_implies", (@{const_name implies}, (@{thm fimplies_def},
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       ("fimplies", @{const_name ATP.fimplies})))),
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   ("equal", (@{const_name HOL.eq}, (@{thm fequal_def},
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       ("fequal", @{const_name ATP.fequal})))),
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   ("c_All", (@{const_name All}, (@{thm fAll_def},
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       ("fAll", @{const_name ATP.fAll})))),
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   ("c_Ex", (@{const_name Ex}, (@{thm fEx_def},
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       ("fEx", @{const_name ATP.fEx}))))]
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val proxify_const = AList.lookup (op =) proxy_table #> Option.map (snd o snd)
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(* Readable names for the more common symbolic functions. Do not mess with the
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   table unless you know what you are doing. *)
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val const_trans_table =
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  [(@{type_name Product_Type.prod}, "prod"),
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   (@{type_name Sum_Type.sum}, "sum"),
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   (@{const_name False}, "False"),
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   (@{const_name True}, "True"),
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   (@{const_name Not}, "Not"),
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   (@{const_name conj}, "conj"),
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   (@{const_name disj}, "disj"),
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   (@{const_name implies}, "implies"),
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   (@{const_name HOL.eq}, "equal"),
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   (@{const_name All}, "All"),
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   (@{const_name Ex}, "Ex"),
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   (@{const_name If}, "If"),
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   (@{const_name Set.member}, "member"),
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   (@{const_name Meson.COMBI}, "COMBI"),
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   (@{const_name Meson.COMBK}, "COMBK"),
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   (@{const_name Meson.COMBB}, "COMBB"),
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   (@{const_name Meson.COMBC}, "COMBC"),
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   (@{const_name Meson.COMBS}, "COMBS")]
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  |> Symtab.make
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  |> fold (Symtab.update o swap o snd o snd o snd) proxy_table
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(* Invert the table of translations between Isabelle and ATPs. *)
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val const_trans_table_inv =
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  const_trans_table |> Symtab.dest |> map swap |> Symtab.make
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val const_trans_table_unprox =
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  Symtab.empty
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  |> fold (fn (_, (isa, (_, (_, atp)))) => Symtab.update (atp, isa)) proxy_table
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val invert_const = perhaps (Symtab.lookup const_trans_table_inv)
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val unproxify_const = perhaps (Symtab.lookup const_trans_table_unprox)
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fun lookup_const c =
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  case Symtab.lookup const_trans_table c of
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    SOME c' => c'
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  | NONE => ascii_of c
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fun ascii_of_indexname (v, 0) = ascii_of v
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  | ascii_of_indexname (v, i) = ascii_of v ^ "_" ^ string_of_int i
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fun make_bound_var x = bound_var_prefix ^ ascii_of x
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fun make_all_bound_var x = all_bound_var_prefix ^ ascii_of x
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fun make_exist_bound_var x = exist_bound_var_prefix ^ ascii_of x
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fun make_schematic_var v = schematic_var_prefix ^ ascii_of_indexname v
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fun make_fixed_var x = fixed_var_prefix ^ ascii_of x
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fun make_schematic_type_var (x, i) =
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  tvar_prefix ^ (ascii_of_indexname (unprefix "'" x, i))
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fun make_fixed_type_var x = tfree_prefix ^ (ascii_of (unprefix "'" x))
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(* "HOL.eq" and Choice are mapped to the ATP's equivalents *)
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local
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  val choice_const = (fst o dest_Const o HOLogic.choice_const) Term.dummyT
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  fun default c = const_prefix ^ lookup_const c
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in
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  fun make_fixed_const _ @{const_name HOL.eq} = tptp_old_equal
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    | make_fixed_const (SOME (THF (_, _, THF_With_Choice))) c =
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      if c = choice_const then tptp_choice else default c
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    | make_fixed_const _ c = default c
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end
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fun make_fixed_type_const c = type_const_prefix ^ lookup_const c
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fun make_type_class clas = class_prefix ^ ascii_of clas
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fun new_skolem_var_name_from_const s =
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  let val ss = s |> space_explode Long_Name.separator in
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    nth ss (length ss - 2)
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  end
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(* These are either simplified away by "Meson.presimplify" (most of the time) or
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   handled specially via "fFalse", "fTrue", ..., "fequal". *)
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val atp_irrelevant_consts =
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  [@{const_name False}, @{const_name True}, @{const_name Not},
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   @{const_name conj}, @{const_name disj}, @{const_name implies},
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   @{const_name HOL.eq}, @{const_name If}, @{const_name Let}]
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val atp_monomorph_bad_consts =
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  atp_irrelevant_consts @
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  (* These are ignored anyway by the relevance filter (unless they appear in
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     higher-order places) but not by the monomorphizer. *)
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  [@{const_name all}, @{const_name "==>"}, @{const_name "=="},
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   @{const_name Trueprop}, @{const_name All}, @{const_name Ex},
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   @{const_name Ex1}, @{const_name Ball}, @{const_name Bex}]
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fun add_schematic_const (x as (_, T)) =
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  Monomorph.typ_has_tvars T ? Symtab.insert_list (op =) x
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val add_schematic_consts_of =
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  Term.fold_aterms (fn Const (x as (s, _)) =>
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                       not (member (op =) atp_monomorph_bad_consts s)
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                       ? add_schematic_const x
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                      | _ => I)
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fun atp_schematic_consts_of t = add_schematic_consts_of t Symtab.empty
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(** Definitions and functions for FOL clauses and formulas for TPTP **)
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(** Isabelle arities **)
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type arity_atom = name * name * name list
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val type_class = the_single @{sort type}
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type arity_clause =
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  {name : string,
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   prem_atoms : arity_atom list,
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   concl_atom : arity_atom}
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fun add_prem_atom tvar =
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  fold (fn s => s <> type_class ? cons (`make_type_class s, `I tvar, []))
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(* Arity of type constructor "tcon :: (arg1, ..., argN) res" *)
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fun make_axiom_arity_clause (tcons, name, (cls, args)) =
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  let
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    val tvars = map (prefix tvar_prefix o string_of_int) (1 upto length args)
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    val tvars_srts = ListPair.zip (tvars, args)
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  in
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    {name = name,
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     prem_atoms = [] |> fold (uncurry add_prem_atom) tvars_srts,
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     concl_atom = (`make_type_class cls, `make_fixed_type_const tcons,
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                   tvars ~~ tvars)}
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  end
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fun arity_clause _ _ (_, []) = []
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  | arity_clause seen n (tcons, ("HOL.type", _) :: ars) =  (* ignore *)
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    arity_clause seen n (tcons, ars)
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  | arity_clause seen n (tcons, (ar as (class, _)) :: ars) =
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    if member (op =) seen class then
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      (* multiple arities for the same (tycon, class) pair *)
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      make_axiom_arity_clause (tcons,
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          lookup_const tcons ^ "___" ^ ascii_of class ^ "_" ^ string_of_int n,
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          ar) ::
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      arity_clause seen (n + 1) (tcons, ars)
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    else
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      make_axiom_arity_clause (tcons, lookup_const tcons ^ "___" ^
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                               ascii_of class, ar) ::
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      arity_clause (class :: seen) n (tcons, ars)
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fun multi_arity_clause [] = []
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  | multi_arity_clause ((tcons, ars) :: tc_arlists) =
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    arity_clause [] 1 (tcons, ars) @ multi_arity_clause tc_arlists
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(* Generate all pairs (tycon, class, sorts) such that tycon belongs to class in
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   theory thy provided its arguments have the corresponding sorts. *)
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fun type_class_pairs thy tycons classes =
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  let
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    val alg = Sign.classes_of thy
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    fun domain_sorts tycon = Sorts.mg_domain alg tycon o single
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    fun add_class tycon class =
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      cons (class, domain_sorts tycon class)
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      handle Sorts.CLASS_ERROR _ => I
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    fun try_classes tycon = (tycon, fold (add_class tycon) classes [])
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  in map try_classes tycons end
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(*Proving one (tycon, class) membership may require proving others, so iterate.*)
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fun iter_type_class_pairs _ _ [] = ([], [])
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  | iter_type_class_pairs thy tycons classes =
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parents: 43259
diff changeset
   422
      let
blanchet
parents: 43259
diff changeset
   423
        fun maybe_insert_class s =
blanchet
parents: 43259
diff changeset
   424
          (s <> type_class andalso not (member (op =) classes s))
blanchet
parents: 43259
diff changeset
   425
          ? insert (op =) s
blanchet
parents: 43259
diff changeset
   426
        val cpairs = type_class_pairs thy tycons classes
blanchet
parents: 43259
diff changeset
   427
        val newclasses =
blanchet
parents: 43259
diff changeset
   428
          [] |> fold (fold (fold (fold maybe_insert_class) o snd) o snd) cpairs
blanchet
parents: 43259
diff changeset
   429
        val (classes', cpairs') = iter_type_class_pairs thy tycons newclasses
43266
3baf384e2b99 minor optimization
blanchet
parents: 43265
diff changeset
   430
      in (classes' @ classes, union (op =) cpairs' cpairs) end
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   431
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   432
fun make_arity_clauses thy tycons =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   433
  iter_type_class_pairs thy tycons ##> multi_arity_clause
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   434
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   435
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   436
(** Isabelle class relations **)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   437
43086
blanchet
parents: 43085
diff changeset
   438
type class_rel_clause =
43496
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   439
  {name : string,
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   440
   subclass : name,
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   441
   superclass : name}
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   442
43622
blanchet
parents: 43572
diff changeset
   443
(* Generate all pairs (sub, super) such that sub is a proper subclass of super
blanchet
parents: 43572
diff changeset
   444
   in theory "thy". *)
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   445
fun class_pairs _ [] _ = []
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   446
  | class_pairs thy subs supers =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   447
      let
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   448
        val class_less = Sorts.class_less (Sign.classes_of thy)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   449
        fun add_super sub super = class_less (sub, super) ? cons (sub, super)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   450
        fun add_supers sub = fold (add_super sub) supers
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   451
      in fold add_supers subs [] end
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   452
43622
blanchet
parents: 43572
diff changeset
   453
fun make_class_rel_clause (sub, super) =
blanchet
parents: 43572
diff changeset
   454
  {name = sub ^ "_" ^ super, subclass = `make_type_class sub,
43086
blanchet
parents: 43085
diff changeset
   455
   superclass = `make_type_class super}
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   456
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   457
fun make_class_rel_clauses thy subs supers =
43093
blanchet
parents: 43092
diff changeset
   458
  map make_class_rel_clause (class_pairs thy subs supers)
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   459
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   460
(* intermediate terms *)
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   461
datatype iterm =
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   462
  IConst of name * typ * typ list |
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   463
  IVar of name * typ |
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   464
  IApp of iterm * iterm |
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   465
  IAbs of (name * typ) * iterm
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   466
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   467
fun ityp_of (IConst (_, T, _)) = T
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   468
  | ityp_of (IVar (_, T)) = T
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   469
  | ityp_of (IApp (t1, _)) = snd (dest_funT (ityp_of t1))
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   470
  | ityp_of (IAbs ((_, T), tm)) = T --> ityp_of tm
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   471
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   472
(*gets the head of a combinator application, along with the list of arguments*)
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   473
fun strip_iterm_comb u =
43496
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   474
  let
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   475
    fun stripc (IApp (t, u), ts) = stripc (t, u :: ts)
43496
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   476
      | stripc x = x
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   477
  in stripc (u, []) end
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   478
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   479
fun atyps_of T = fold_atyps (insert (op =)) T []
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   480
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   481
fun new_skolem_const_name s num_T_args =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   482
  [new_skolem_const_prefix, s, string_of_int num_T_args]
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   483
  |> space_implode Long_Name.separator
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   484
44594
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   485
fun robust_const_type thy s =
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   486
  if s = app_op_name then Logic.varifyT_global @{typ "('a => 'b) => 'a => 'b"}
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   487
  else s |> Sign.the_const_type thy
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   488
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   489
(* This function only makes sense if "T" is as general as possible. *)
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   490
fun robust_const_typargs thy (s, T) =
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   491
  (s, T) |> Sign.const_typargs thy
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   492
  handle TYPE _ => [] |> Term.add_tvarsT T |> rev |> map TVar
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   493
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   494
(* Converts an Isabelle/HOL term (with combinators) into an intermediate term.
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   495
   Also accumulates sort infomation. *)
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   496
fun iterm_from_term thy format bs (P $ Q) =
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   497
    let
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   498
      val (P', P_atomics_Ts) = iterm_from_term thy format bs P
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   499
      val (Q', Q_atomics_Ts) = iterm_from_term thy format bs Q
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   500
    in (IApp (P', Q'), union (op =) P_atomics_Ts Q_atomics_Ts) end
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   501
  | iterm_from_term thy format _ (Const (c, T)) =
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   502
    (IConst (`(make_fixed_const (SOME format)) c, T,
44594
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   503
             robust_const_typargs thy (c, T)),
43907
073ab5379842 pass type arguments to lambda-lifted Frees, to account for polymorphism
blanchet
parents: 43906
diff changeset
   504
     atyps_of T)
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   505
  | iterm_from_term _ _ _ (Free (s, T)) =
43907
073ab5379842 pass type arguments to lambda-lifted Frees, to account for polymorphism
blanchet
parents: 43906
diff changeset
   506
    (IConst (`make_fixed_var s, T,
43936
127749bbc639 use a more robust naming convention for "polymorphic" frees -- the check is an overapproximation but that's fine as far as soundness is concerned
blanchet
parents: 43907
diff changeset
   507
             if String.isPrefix polymorphic_free_prefix s then [T] else []),
43907
073ab5379842 pass type arguments to lambda-lifted Frees, to account for polymorphism
blanchet
parents: 43906
diff changeset
   508
     atyps_of T)
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   509
  | iterm_from_term _ format _ (Var (v as (s, _), T)) =
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   510
    (if String.isPrefix Meson_Clausify.new_skolem_var_prefix s then
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   511
       let
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   512
         val Ts = T |> strip_type |> swap |> op ::
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   513
         val s' = new_skolem_const_name s (length Ts)
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   514
       in IConst (`(make_fixed_const (SOME format)) s', T, Ts) end
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   515
     else
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   516
       IVar ((make_schematic_var v, s), T), atyps_of T)
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   517
  | iterm_from_term _ _ bs (Bound j) =
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   518
    nth bs j |> (fn (_, (name, T)) => (IConst (name, T, []), atyps_of T))
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   519
  | iterm_from_term thy format bs (Abs (s, T, t)) =
43678
56d352659500 improved translation of lambdas in THF
nik
parents: 43677
diff changeset
   520
    let
56d352659500 improved translation of lambdas in THF
nik
parents: 43677
diff changeset
   521
      fun vary s = s |> AList.defined (op =) bs s ? vary o Symbol.bump_string
56d352659500 improved translation of lambdas in THF
nik
parents: 43677
diff changeset
   522
      val s = vary s
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   523
      val name = `make_bound_var s
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   524
      val (tm, atomic_Ts) = iterm_from_term thy format ((s, (name, T)) :: bs) t
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   525
    in (IAbs ((name, T), tm), union (op =) atomic_Ts (atyps_of T)) end
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   526
43421
926bfe067a32 fixed soundness bug related to extensionality
blanchet
parents: 43401
diff changeset
   527
datatype locality =
44783
blanchet
parents: 44782
diff changeset
   528
  General | Helper | Induction | Intro | Elim | Simp | Local | Assum | Chained
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   529
43624
de026aecab9b cleaner handling of higher-order simple types, so that it's also possible to use first-order simple types with LEO-II and company
blanchet
parents: 43623
diff changeset
   530
datatype order = First_Order | Higher_Order
44494
a77901b3774e rationalized option names -- mono becomes raw_mono and mangled becomes mono
blanchet
parents: 44493
diff changeset
   531
datatype polymorphism = Polymorphic | Raw_Monomorphic | Mangled_Monomorphic
44634
2ac4ff398bc3 make "sound" sound and "unsound" more sound, based on evaluation
blanchet
parents: 44626
diff changeset
   532
datatype soundness = Sound_Modulo_Infiniteness | Sound
44811
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   533
datatype granularity = All_Vars | Positively_Naked_Vars | Ghost_Type_Arg_Vars
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   534
datatype type_level =
44397
06375952f1fa cleaner handling of polymorphic monotonicity inference
blanchet
parents: 44396
diff changeset
   535
  All_Types |
44811
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   536
  Noninf_Nonmono_Types of soundness * granularity |
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   537
  Fin_Nonmono_Types of granularity |
44397
06375952f1fa cleaner handling of polymorphic monotonicity inference
blanchet
parents: 44396
diff changeset
   538
  Const_Arg_Types |
43362
8d3a5b7b9a00 name tuning
blanchet
parents: 43361
diff changeset
   539
  No_Types
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   540
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   541
datatype type_enc =
44591
0b107d11f634 extended simple types with polymorphism -- the implementation still needs some work though
blanchet
parents: 44589
diff changeset
   542
  Simple_Types of order * polymorphism * type_level |
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   543
  Guards of polymorphism * type_level |
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   544
  Tags of polymorphism * type_level
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   545
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   546
fun is_type_enc_higher_order (Simple_Types (Higher_Order, _, _)) = true
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   547
  | is_type_enc_higher_order _ = false
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   548
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   549
fun polymorphism_of_type_enc (Simple_Types (_, poly, _)) = poly
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   550
  | polymorphism_of_type_enc (Guards (poly, _)) = poly
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   551
  | polymorphism_of_type_enc (Tags (poly, _)) = poly
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   552
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   553
fun level_of_type_enc (Simple_Types (_, _, level)) = level
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   554
  | level_of_type_enc (Guards (_, level)) = level
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   555
  | level_of_type_enc (Tags (_, level)) = level
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   556
44811
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   557
fun granularity_of_type_level (Noninf_Nonmono_Types (_, grain)) = grain
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   558
  | granularity_of_type_level (Fin_Nonmono_Types grain) = grain
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   559
  | granularity_of_type_level _ = All_Vars
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   560
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   561
fun is_type_level_quasi_sound All_Types = true
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   562
  | is_type_level_quasi_sound (Noninf_Nonmono_Types _) = true
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   563
  | is_type_level_quasi_sound _ = false
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   564
val is_type_enc_quasi_sound = is_type_level_quasi_sound o level_of_type_enc
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   565
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   566
fun is_type_level_fairly_sound (Fin_Nonmono_Types _) = true
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   567
  | is_type_level_fairly_sound level = is_type_level_quasi_sound level
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   568
val is_type_enc_fairly_sound = is_type_level_fairly_sound o level_of_type_enc
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   569
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   570
fun is_type_level_monotonicity_based (Noninf_Nonmono_Types _) = true
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   571
  | is_type_level_monotonicity_based (Fin_Nonmono_Types _) = true
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   572
  | is_type_level_monotonicity_based _ = false
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   573
44785
f4975fa4a2f8 parse new experimental '@' encodings
blanchet
parents: 44783
diff changeset
   574
(* "_query", "_bang", and "_at" are for the ASCII-challenged Metis and
f4975fa4a2f8 parse new experimental '@' encodings
blanchet
parents: 44783
diff changeset
   575
   Mirabelle. *)
f4975fa4a2f8 parse new experimental '@' encodings
blanchet
parents: 44783
diff changeset
   576
val queries = ["?", "_query"]
f4975fa4a2f8 parse new experimental '@' encodings
blanchet
parents: 44783
diff changeset
   577
val bangs = ["!", "_bang"]
f4975fa4a2f8 parse new experimental '@' encodings
blanchet
parents: 44783
diff changeset
   578
val ats = ["@", "_at"]
f4975fa4a2f8 parse new experimental '@' encodings
blanchet
parents: 44783
diff changeset
   579
42689
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   580
fun try_unsuffixes ss s =
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   581
  fold (fn s' => fn NONE => try (unsuffix s') s | some => some) ss NONE
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   582
44785
f4975fa4a2f8 parse new experimental '@' encodings
blanchet
parents: 44783
diff changeset
   583
fun try_nonmono constr suffixes fallback s =
f4975fa4a2f8 parse new experimental '@' encodings
blanchet
parents: 44783
diff changeset
   584
  case try_unsuffixes suffixes s of
f4975fa4a2f8 parse new experimental '@' encodings
blanchet
parents: 44783
diff changeset
   585
    SOME s =>
f4975fa4a2f8 parse new experimental '@' encodings
blanchet
parents: 44783
diff changeset
   586
    (case try_unsuffixes suffixes s of
44811
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   587
       SOME s => (constr Positively_Naked_Vars, s)
44785
f4975fa4a2f8 parse new experimental '@' encodings
blanchet
parents: 44783
diff changeset
   588
     | NONE =>
f4975fa4a2f8 parse new experimental '@' encodings
blanchet
parents: 44783
diff changeset
   589
       case try_unsuffixes ats s of
44811
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   590
         SOME s => (constr Ghost_Type_Arg_Vars, s)
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   591
       | NONE => (constr All_Vars, s))
44785
f4975fa4a2f8 parse new experimental '@' encodings
blanchet
parents: 44783
diff changeset
   592
  | NONE => fallback s
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   593
44811
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   594
fun is_incompatible_type_level poly level =
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   595
  poly = Mangled_Monomorphic andalso
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   596
  granularity_of_type_level level = Ghost_Type_Arg_Vars
44810
c1c05a578c1a stricted type encoding parsing
blanchet
parents: 44786
diff changeset
   597
44397
06375952f1fa cleaner handling of polymorphic monotonicity inference
blanchet
parents: 44396
diff changeset
   598
fun type_enc_from_string soundness s =
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   599
  (case try (unprefix "poly_") s of
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   600
     SOME s => (SOME Polymorphic, s)
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   601
   | NONE =>
44494
a77901b3774e rationalized option names -- mono becomes raw_mono and mangled becomes mono
blanchet
parents: 44493
diff changeset
   602
     case try (unprefix "raw_mono_") s of
a77901b3774e rationalized option names -- mono becomes raw_mono and mangled becomes mono
blanchet
parents: 44493
diff changeset
   603
       SOME s => (SOME Raw_Monomorphic, s)
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   604
     | NONE =>
44494
a77901b3774e rationalized option names -- mono becomes raw_mono and mangled becomes mono
blanchet
parents: 44493
diff changeset
   605
       case try (unprefix "mono_") s of
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   606
         SOME s => (SOME Mangled_Monomorphic, s)
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   607
       | NONE => (NONE, s))
44785
f4975fa4a2f8 parse new experimental '@' encodings
blanchet
parents: 44783
diff changeset
   608
  ||> (pair All_Types
f4975fa4a2f8 parse new experimental '@' encodings
blanchet
parents: 44783
diff changeset
   609
       |> try_nonmono Fin_Nonmono_Types bangs
f4975fa4a2f8 parse new experimental '@' encodings
blanchet
parents: 44783
diff changeset
   610
       |> try_nonmono (curry Noninf_Nonmono_Types soundness) queries)
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   611
  |> (fn (poly, (level, core)) =>
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   612
         case (core, (poly, level)) of
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   613
           ("simple", (SOME poly, _)) =>
44742
68e34e7f01ab cleanup "simple" type encodings
blanchet
parents: 44738
diff changeset
   614
           (case (poly, level) of
68e34e7f01ab cleanup "simple" type encodings
blanchet
parents: 44738
diff changeset
   615
              (Polymorphic, All_Types) =>
68e34e7f01ab cleanup "simple" type encodings
blanchet
parents: 44738
diff changeset
   616
              Simple_Types (First_Order, Polymorphic, All_Types)
68e34e7f01ab cleanup "simple" type encodings
blanchet
parents: 44738
diff changeset
   617
            | (Mangled_Monomorphic, _) =>
44811
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   618
              if granularity_of_type_level level = All_Vars then
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   619
                Simple_Types (First_Order, Mangled_Monomorphic, level)
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   620
              else
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   621
                raise Same.SAME
44742
68e34e7f01ab cleanup "simple" type encodings
blanchet
parents: 44738
diff changeset
   622
            | _ => raise Same.SAME)
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   623
         | ("simple_higher", (SOME poly, _)) =>
44591
0b107d11f634 extended simple types with polymorphism -- the implementation still needs some work though
blanchet
parents: 44589
diff changeset
   624
           (case (poly, level) of
44754
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   625
              (Polymorphic, All_Types) =>
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   626
              Simple_Types (Higher_Order, Polymorphic, All_Types)
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   627
            | (_, Noninf_Nonmono_Types _) => raise Same.SAME
44742
68e34e7f01ab cleanup "simple" type encodings
blanchet
parents: 44738
diff changeset
   628
            | (Mangled_Monomorphic, _) =>
44811
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   629
              if granularity_of_type_level level = All_Vars then
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   630
                Simple_Types (Higher_Order, Mangled_Monomorphic, level)
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   631
              else
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   632
                raise Same.SAME
44742
68e34e7f01ab cleanup "simple" type encodings
blanchet
parents: 44738
diff changeset
   633
            | _ => raise Same.SAME)
44810
c1c05a578c1a stricted type encoding parsing
blanchet
parents: 44786
diff changeset
   634
         | ("guards", (SOME poly, _)) =>
44811
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   635
           if is_incompatible_type_level poly level then raise Same.SAME
44810
c1c05a578c1a stricted type encoding parsing
blanchet
parents: 44786
diff changeset
   636
           else Guards (poly, level)
c1c05a578c1a stricted type encoding parsing
blanchet
parents: 44786
diff changeset
   637
         | ("tags", (SOME poly, _)) =>
44811
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   638
           if is_incompatible_type_level poly level then raise Same.SAME
44810
c1c05a578c1a stricted type encoding parsing
blanchet
parents: 44786
diff changeset
   639
           else Tags (poly, level)
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   640
         | ("args", (SOME poly, All_Types (* naja *))) =>
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   641
           Guards (poly, Const_Arg_Types)
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   642
         | ("erased", (NONE, All_Types (* naja *))) =>
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   643
           Guards (Polymorphic, No_Types)
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
   644
         | _ => raise Same.SAME)
44785
f4975fa4a2f8 parse new experimental '@' encodings
blanchet
parents: 44783
diff changeset
   645
  handle Same.SAME => error ("Unknown type encoding: " ^ quote s ^ ".")
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   646
44754
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   647
fun adjust_type_enc (THF (TPTP_Monomorphic, _, _))
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   648
                    (Simple_Types (order, _, level)) =
44591
0b107d11f634 extended simple types with polymorphism -- the implementation still needs some work though
blanchet
parents: 44589
diff changeset
   649
    Simple_Types (order, Mangled_Monomorphic, level)
44754
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   650
  | adjust_type_enc (THF _) type_enc = type_enc
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   651
  | adjust_type_enc (TFF (TPTP_Monomorphic, _)) (Simple_Types (_, _, level)) =
44591
0b107d11f634 extended simple types with polymorphism -- the implementation still needs some work though
blanchet
parents: 44589
diff changeset
   652
    Simple_Types (First_Order, Mangled_Monomorphic, level)
44754
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   653
  | adjust_type_enc (TFF _) (Simple_Types (_, poly, level)) =
44591
0b107d11f634 extended simple types with polymorphism -- the implementation still needs some work though
blanchet
parents: 44589
diff changeset
   654
    Simple_Types (First_Order, poly, level)
0b107d11f634 extended simple types with polymorphism -- the implementation still needs some work though
blanchet
parents: 44589
diff changeset
   655
  | adjust_type_enc format (Simple_Types (_, poly, level)) =
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   656
    adjust_type_enc format (Guards (poly, level))
44416
cabd06b69c18 added formats to the slice and use TFF for remote Vampire
blanchet
parents: 44410
diff changeset
   657
  | adjust_type_enc CNF_UEQ (type_enc as Guards stuff) =
cabd06b69c18 added formats to the slice and use TFF for remote Vampire
blanchet
parents: 44410
diff changeset
   658
    (if is_type_enc_fairly_sound type_enc then Tags else Guards) stuff
cabd06b69c18 added formats to the slice and use TFF for remote Vampire
blanchet
parents: 44410
diff changeset
   659
  | adjust_type_enc _ type_enc = type_enc
43101
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   660
44088
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   661
fun lift_lambdas ctxt type_enc =
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   662
  map (close_form o Envir.eta_contract) #> rpair ctxt
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   663
  #-> Lambda_Lifting.lift_lambdas
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   664
          (if polymorphism_of_type_enc type_enc = Polymorphic then
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   665
             SOME polymorphic_free_prefix
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   666
           else
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   667
             NONE)
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   668
          Lambda_Lifting.is_quantifier
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   669
  #> fst
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   670
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   671
fun intentionalize_def (Const (@{const_name All}, _) $ Abs (_, _, t)) =
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   672
    intentionalize_def t
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   673
  | intentionalize_def (Const (@{const_name HOL.eq}, _) $ t $ u) =
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   674
    let
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   675
      fun lam T t = Abs (Name.uu, T, t)
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   676
      val (head, args) = strip_comb t ||> rev
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   677
      val head_T = fastype_of head
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   678
      val n = length args
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   679
      val arg_Ts = head_T |> binder_types |> take n |> rev
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   680
      val u = u |> subst_atomic (args ~~ map Bound (0 upto n - 1))
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   681
    in HOLogic.eq_const head_T $ head $ fold lam arg_Ts u end
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   682
  | intentionalize_def t = t
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   683
40114
blanchet
parents: 40069
diff changeset
   684
type translated_formula =
43496
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   685
  {name : string,
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   686
   locality : locality,
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   687
   kind : formula_kind,
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   688
   iformula : (name, typ, iterm) formula,
43496
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   689
   atomic_types : typ list}
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   690
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   691
fun update_iformula f ({name, locality, kind, iformula, atomic_types}
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   692
                       : translated_formula) =
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   693
  {name = name, locality = locality, kind = kind, iformula = f iformula,
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   694
   atomic_types = atomic_types} : translated_formula
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
   695
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   696
fun fact_lift f ({iformula, ...} : translated_formula) = f iformula
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
   697
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
   698
fun insert_type ctxt get_T x xs =
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
   699
  let val T = get_T x in
44399
cd1e32b8d4c4 added caching for (in)finiteness checks
blanchet
parents: 44398
diff changeset
   700
    if exists (type_instance ctxt T o get_T) xs then xs
cd1e32b8d4c4 added caching for (in)finiteness checks
blanchet
parents: 44398
diff changeset
   701
    else x :: filter_out (type_generalization ctxt T o get_T) xs
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
   702
  end
42677
25496cd3c199 monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents: 42675
diff changeset
   703
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
   704
(* The Booleans indicate whether all type arguments should be kept. *)
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
   705
datatype type_arg_policy =
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
   706
  Explicit_Type_Args of bool |
44771
0e5d4388bbac make mangling sound w.r.t. type arguments
blanchet
parents: 44770
diff changeset
   707
  Mangled_Type_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
   708
  No_Type_Args
41136
30bedf58b177 implemented new type system encoding "overload_args", which is more lightweight than "const_args" (the unsound default) and hopefully almost as sound
blanchet
parents: 41134
diff changeset
   709
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   710
fun type_arg_policy type_enc s =
44774
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   711
  let val mangled = (polymorphism_of_type_enc type_enc = Mangled_Monomorphic) in
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   712
    if s = type_tag_name then
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   713
      if mangled then Mangled_Type_Args else Explicit_Type_Args false
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   714
    else case type_enc of
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   715
      Tags (_, All_Types) => No_Type_Args
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   716
    | _ =>
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   717
      let val level = level_of_type_enc type_enc in
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   718
        if level = No_Types orelse s = @{const_name HOL.eq} orelse
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   719
           (s = app_op_name andalso level = Const_Arg_Types) then
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   720
          No_Type_Args
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   721
        else if mangled then
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   722
          Mangled_Type_Args
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   723
        else
44811
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   724
          Explicit_Type_Args
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   725
              (level = All_Types orelse
0bff1a4228b3 started work on ghost type arg encoding
blanchet
parents: 44810
diff changeset
   726
               granularity_of_type_level level = Ghost_Type_Arg_Vars)
44774
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   727
      end
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   728
  end
42227
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   729
44625
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   730
(* Make atoms for sorted type variables. *)
43263
blanchet
parents: 43259
diff changeset
   731
fun generic_add_sorts_on_type (_, []) = I
blanchet
parents: 43259
diff changeset
   732
  | generic_add_sorts_on_type ((x, i), s :: ss) =
blanchet
parents: 43259
diff changeset
   733
    generic_add_sorts_on_type ((x, i), ss)
blanchet
parents: 43259
diff changeset
   734
    #> (if s = the_single @{sort HOL.type} then
43093
blanchet
parents: 43092
diff changeset
   735
          I
blanchet
parents: 43092
diff changeset
   736
        else if i = ~1 then
44623
blanchet
parents: 44622
diff changeset
   737
          insert (op =) (`make_type_class s, `make_fixed_type_var x)
43093
blanchet
parents: 43092
diff changeset
   738
        else
44623
blanchet
parents: 44622
diff changeset
   739
          insert (op =) (`make_type_class s,
blanchet
parents: 44622
diff changeset
   740
                         (make_schematic_type_var (x, i), x)))
43263
blanchet
parents: 43259
diff changeset
   741
fun add_sorts_on_tfree (TFree (s, S)) = generic_add_sorts_on_type ((s, ~1), S)
blanchet
parents: 43259
diff changeset
   742
  | add_sorts_on_tfree _ = I
blanchet
parents: 43259
diff changeset
   743
fun add_sorts_on_tvar (TVar z) = generic_add_sorts_on_type z
blanchet
parents: 43259
diff changeset
   744
  | add_sorts_on_tvar _ = I
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   745
44625
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   746
val tvar_a_str = "'a"
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   747
val tvar_a = TVar ((tvar_a_str, 0), HOLogic.typeS)
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   748
val tvar_a_name = (make_schematic_type_var (tvar_a_str, 0), tvar_a_str)
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   749
val itself_name = `make_fixed_type_const @{type_name itself}
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   750
val TYPE_name = `(make_fixed_const NONE) @{const_name TYPE}
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   751
val tvar_a_atype = AType (tvar_a_name, [])
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   752
val a_itself_atype = AType (itself_name, [tvar_a_atype])
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   753
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   754
fun type_class_formula type_enc class arg =
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   755
  AAtom (ATerm (class, arg ::
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   756
      (case type_enc of
44754
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   757
         Simple_Types (First_Order, Polymorphic, _) =>
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   758
         if avoid_first_order_dummy_type_vars then [ATerm (TYPE_name, [arg])]
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   759
         else []
44625
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   760
       | _ => [])))
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   761
fun formulas_for_types type_enc add_sorts_on_typ Ts =
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   762
  [] |> level_of_type_enc type_enc <> No_Types ? fold add_sorts_on_typ Ts
44625
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   763
     |> map (fn (class, name) =>
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   764
                type_class_formula type_enc class (ATerm (name, [])))
41137
8b634031b2a5 implemented "no_types" encoding, which is too unsound to be useful but can come in handy for evaluations
blanchet
parents: 41136
diff changeset
   765
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   766
fun mk_aconns c phis =
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   767
  let val (phis', phi') = split_last phis in
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   768
    fold_rev (mk_aconn c) phis' phi'
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   769
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   770
fun mk_ahorn [] phi = phi
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   771
  | mk_ahorn phis psi = AConn (AImplies, [mk_aconns AAnd phis, psi])
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   772
fun mk_aquant _ [] phi = phi
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   773
  | mk_aquant q xs (phi as AQuant (q', xs', phi')) =
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   774
    if q = q' then AQuant (q, xs @ xs', phi') else AQuant (q, xs, phi)
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   775
  | mk_aquant q xs phi = AQuant (q, xs, phi)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   776
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   777
fun close_universally atom_vars phi =
41145
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   778
  let
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   779
    fun formula_vars bounds (AQuant (_, xs, phi)) =
42526
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   780
        formula_vars (map fst xs @ bounds) phi
41145
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   781
      | formula_vars bounds (AConn (_, phis)) = fold (formula_vars bounds) phis
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   782
      | formula_vars bounds (AAtom tm) =
42526
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   783
        union (op =) (atom_vars tm []
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   784
                      |> filter_out (member (op =) bounds o fst))
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   785
  in mk_aquant AForall (formula_vars [] phi []) phi end
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   786
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   787
fun iterm_vars (IApp (tm1, tm2)) = fold iterm_vars [tm1, tm2]
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   788
  | iterm_vars (IConst _) = I
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   789
  | iterm_vars (IVar (name, T)) = insert (op =) (name, SOME T)
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   790
  | iterm_vars (IAbs (_, tm)) = iterm_vars tm
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   791
fun close_iformula_universally phi = close_universally iterm_vars phi
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   792
44593
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   793
fun term_vars type_enc =
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   794
  let
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   795
    fun vars bounds (ATerm (name as (s, _), tms)) =
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   796
        (if is_tptp_variable s andalso not (member (op =) bounds name) then
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   797
           (case type_enc of
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   798
              Simple_Types (_, Polymorphic, _) =>
44595
444d111bde7d generate properly typed TFF1 (PFF) problems in the presence of type class predicates
blanchet
parents: 44594
diff changeset
   799
              if String.isPrefix tvar_prefix s then SOME atype_of_types
444d111bde7d generate properly typed TFF1 (PFF) problems in the presence of type class predicates
blanchet
parents: 44594
diff changeset
   800
              else NONE
44593
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   801
            | _ => NONE)
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   802
           |> pair name |> insert (op =)
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   803
         else
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   804
           I)
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   805
        #> fold (vars bounds) tms
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   806
      | vars bounds (AAbs ((name, _), tm)) = vars (name :: bounds) tm
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   807
  in vars end
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   808
fun close_formula_universally type_enc =
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   809
  close_universally (term_vars type_enc [])
41145
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   810
44594
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   811
val fused_infinite_type_name = @{type_name ind} (* any infinite type *)
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   812
val fused_infinite_type = Type (fused_infinite_type_name, [])
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   813
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   814
fun tvar_name (x as (s, _)) = (make_schematic_type_var x, s)
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   815
43676
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   816
fun ho_term_from_typ format type_enc =
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   817
  let
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   818
    fun term (Type (s, Ts)) =
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   819
      ATerm (case (is_type_enc_higher_order type_enc, s) of
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   820
               (true, @{type_name bool}) => `I tptp_bool_type
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   821
             | (true, @{type_name fun}) => `I tptp_fun_type
44594
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   822
             | _ => if s = fused_infinite_type_name andalso
44235
85e9dad3c187 distinguish THF syntax with and without choice (Satallax vs. LEO-II)
blanchet
parents: 44121
diff changeset
   823
                       is_format_typed format then
43178
b5862142d378 use "" type only in THF and TFF -- might cause strange failures if used in FOF or CNF, depending on how liberal the prover is
blanchet
parents: 43175
diff changeset
   824
                      `I tptp_individual_type
b5862142d378 use "" type only in THF and TFF -- might cause strange failures if used in FOF or CNF, depending on how liberal the prover is
blanchet
parents: 43175
diff changeset
   825
                    else
b5862142d378 use "" type only in THF and TFF -- might cause strange failures if used in FOF or CNF, depending on how liberal the prover is
blanchet
parents: 43175
diff changeset
   826
                      `make_fixed_type_const s,
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   827
             map term Ts)
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   828
    | term (TFree (s, _)) = ATerm (`make_fixed_type_var s, [])
44594
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   829
    | term (TVar (x, _)) = ATerm (tvar_name x, [])
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   830
  in term end
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   831
43676
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   832
fun ho_term_for_type_arg format type_enc T =
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   833
  if T = dummyT then NONE else SOME (ho_term_from_typ format type_enc T)
43401
e93dfcb53535 fixed soundness bug made more visible by previous change
blanchet
parents: 43399
diff changeset
   834
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   835
(* This shouldn't clash with anything else. *)
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
   836
val mangled_type_sep = "\000"
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
   837
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   838
fun generic_mangled_type_name f (ATerm (name, [])) = f name
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   839
  | generic_mangled_type_name f (ATerm (name, tys)) =
42761
8ea9c6fa8b53 fixed several bugs in Isar proof reconstruction, in particular w.r.t. mangled types and hAPP
blanchet
parents: 42755
diff changeset
   840
    f name ^ "(" ^ space_implode "," (map (generic_mangled_type_name f) tys)
8ea9c6fa8b53 fixed several bugs in Isar proof reconstruction, in particular w.r.t. mangled types and hAPP
blanchet
parents: 42755
diff changeset
   841
    ^ ")"
43692
264881a20f50 make SML/NJ happy + tuning
blanchet
parents: 43678
diff changeset
   842
  | generic_mangled_type_name _ _ = raise Fail "unexpected type abstraction"
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
   843
44396
66b9b3fcd608 started cleaning up polymorphic monotonicity-based encodings, based on discussions with Nick Smallbone
blanchet
parents: 44394
diff changeset
   844
fun mangled_type format type_enc =
66b9b3fcd608 started cleaning up polymorphic monotonicity-based encodings, based on discussions with Nick Smallbone
blanchet
parents: 44394
diff changeset
   845
  generic_mangled_type_name fst o ho_term_from_typ format type_enc
66b9b3fcd608 started cleaning up polymorphic monotonicity-based encodings, based on discussions with Nick Smallbone
blanchet
parents: 44394
diff changeset
   846
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   847
fun make_simple_type s =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   848
  if s = tptp_bool_type orelse s = tptp_fun_type orelse
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   849
     s = tptp_individual_type then
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   850
    s
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   851
  else
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   852
    simple_type_prefix ^ ascii_of s
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   853
43676
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   854
fun ho_type_from_ho_term type_enc pred_sym ary =
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   855
  let
44593
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   856
    fun to_mangled_atype ty =
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   857
      AType ((make_simple_type (generic_mangled_type_name fst ty),
44593
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   858
              generic_mangled_type_name snd ty), [])
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   859
    fun to_poly_atype (ATerm (name, tys)) = AType (name, map to_poly_atype tys)
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   860
      | to_poly_atype _ = raise Fail "unexpected type abstraction"
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   861
    val to_atype =
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   862
      if polymorphism_of_type_enc type_enc = Polymorphic then to_poly_atype
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   863
      else to_mangled_atype
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   864
    fun to_afun f1 f2 tys = AFun (f1 (hd tys), f2 (nth tys 1))
42998
1c80902d0456 fully support all type system encodings in typed formats (TFF, THF)
blanchet
parents: 42994
diff changeset
   865
    fun to_fo 0 ty = if pred_sym then bool_atype else to_atype ty
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   866
      | to_fo ary (ATerm (_, tys)) = to_afun to_atype (to_fo (ary - 1)) tys
43692
264881a20f50 make SML/NJ happy + tuning
blanchet
parents: 43678
diff changeset
   867
      | to_fo _ _ = raise Fail "unexpected type abstraction"
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   868
    fun to_ho (ty as ATerm ((s, _), tys)) =
43676
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   869
        if s = tptp_fun_type then to_afun to_ho to_ho tys else to_atype ty
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   870
      | to_ho _ = raise Fail "unexpected type abstraction"
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   871
  in if is_type_enc_higher_order type_enc then to_ho else to_fo ary end
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   872
43677
2cd0b478d1b6 added generation of lambdas in THF
nik
parents: 43676
diff changeset
   873
fun ho_type_from_typ format type_enc pred_sym ary =
43676
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   874
  ho_type_from_ho_term type_enc pred_sym ary
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   875
  o ho_term_from_typ format type_enc
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   876
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   877
fun mangled_const_name format type_enc T_args (s, s') =
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   878
  let
43676
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   879
    val ty_args = T_args |> map_filter (ho_term_for_type_arg format type_enc)
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   880
    fun type_suffix f g =
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   881
      fold_rev (curry (op ^) o g o prefix mangled_type_sep
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   882
                o generic_mangled_type_name f) ty_args ""
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   883
  in (s ^ type_suffix fst ascii_of, s' ^ type_suffix snd I) end
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
   884
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
   885
val parse_mangled_ident =
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
   886
  Scan.many1 (not o member (op =) ["(", ")", ","]) >> implode
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
   887
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
   888
fun parse_mangled_type x =
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
   889
  (parse_mangled_ident
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
   890
   -- Scan.optional ($$ "(" |-- Scan.optional parse_mangled_types [] --| $$ ")")
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
   891
                    [] >> ATerm) x
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
   892
and parse_mangled_types x =
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
   893
  (parse_mangled_type ::: Scan.repeat ($$ "," |-- parse_mangled_type)) x
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
   894
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
   895
fun unmangled_type s =
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
   896
  s |> suffix ")" |> raw_explode
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
   897
    |> Scan.finite Symbol.stopper
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
   898
           (Scan.error (!! (fn _ => raise Fail ("unrecognized mangled type " ^
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
   899
                                                quote s)) parse_mangled_type))
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
   900
    |> fst
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
   901
42561
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
   902
val unmangled_const_name = space_explode mangled_type_sep #> hd
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
   903
fun unmangled_const s =
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
   904
  let val ss = space_explode mangled_type_sep s in
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
   905
    (hd ss, map unmangled_type (tl ss))
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
   906
  end
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
   907
44773
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   908
fun introduce_proxies_in_iterm type_enc =
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   909
  let
43987
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   910
    fun tweak_ho_quant ho_quant T [IAbs _] = IConst (`I ho_quant, T, [])
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   911
      | tweak_ho_quant ho_quant (T as Type (_, [p_T as Type (_, [x_T, _]), _]))
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   912
                       _ =
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   913
        (* Eta-expand "!!" and "??", to work around LEO-II 1.2.8 parser
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   914
           limitation. This works in conjuction with special code in
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   915
           "ATP_Problem" that uses the syntactic sugar "!" and "?" whenever
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   916
           possible. *)
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   917
        IAbs ((`I "P", p_T),
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   918
              IApp (IConst (`I ho_quant, T, []),
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   919
                    IAbs ((`I "X", x_T),
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   920
                          IApp (IConst (`I "P", p_T, []),
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   921
                                IConst (`I "X", x_T, [])))))
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   922
      | tweak_ho_quant _ _ _ = raise Fail "unexpected type for quantifier"
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   923
    fun intro top_level args (IApp (tm1, tm2)) =
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   924
        IApp (intro top_level (tm2 :: args) tm1, intro false [] tm2)
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   925
      | intro top_level args (IConst (name as (s, _), T, T_args)) =
42570
77f94ac04f32 cleanup proxification/unproxification and make sure that "num_atp_type_args" is called on the proxy in the reconstruction code, since "c_fequal" has one type arg but the unproxified equal has 0
blanchet
parents: 42569
diff changeset
   926
        (case proxify_const s of
43159
29b55f292e0b added support for helpers in new Metis, so far only for polymorphic type encodings
blanchet
parents: 43139
diff changeset
   927
           SOME proxy_base =>
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   928
           if top_level orelse is_type_enc_higher_order type_enc then
43000
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   929
             case (top_level, s) of
43987
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   930
               (_, "c_False") => IConst (`I tptp_false, T, [])
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   931
             | (_, "c_True") => IConst (`I tptp_true, T, [])
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   932
             | (false, "c_Not") => IConst (`I tptp_not, T, [])
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   933
             | (false, "c_conj") => IConst (`I tptp_and, T, [])
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   934
             | (false, "c_disj") => IConst (`I tptp_or, T, [])
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   935
             | (false, "c_implies") => IConst (`I tptp_implies, T, [])
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   936
             | (false, "c_All") => tweak_ho_quant tptp_ho_forall T args
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   937
             | (false, "c_Ex") => tweak_ho_quant tptp_ho_exists T args
43000
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   938
             | (false, s) =>
44097
3cae91385086 workaround THF parser limitation
blanchet
parents: 44088
diff changeset
   939
               if is_tptp_equal s andalso length args = 2 then
3cae91385086 workaround THF parser limitation
blanchet
parents: 44088
diff changeset
   940
                 IConst (`I tptp_equal, T, [])
3cae91385086 workaround THF parser limitation
blanchet
parents: 44088
diff changeset
   941
               else
44589
0a1dfc6365e9 first step towards polymorphic TFF + changed defaults for Vampire
blanchet
parents: 44587
diff changeset
   942
                 (* Use a proxy even for partially applied THF0 equality,
0a1dfc6365e9 first step towards polymorphic TFF + changed defaults for Vampire
blanchet
parents: 44587
diff changeset
   943
                    because the LEO-II and Satallax parsers complain about not
0a1dfc6365e9 first step towards polymorphic TFF + changed defaults for Vampire
blanchet
parents: 44587
diff changeset
   944
                    being able to infer the type of "=". *)
44097
3cae91385086 workaround THF parser limitation
blanchet
parents: 44088
diff changeset
   945
                 IConst (proxy_base |>> prefix const_prefix, T, T_args)
43987
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   946
             | _ => IConst (name, T, [])
42569
5737947e4c77 make sure that fequal keeps its type arguments for mangled type systems
blanchet
parents: 42568
diff changeset
   947
           else
43987
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   948
             IConst (proxy_base |>> prefix const_prefix, T, T_args)
45167
6bc8d260d459 gracefully handle quantifiers of the form "All $ t" where "t" is not a lambda-abstraction in higher-order translations
blanchet
parents: 44859
diff changeset
   949
          | NONE => if s = tptp_choice then tweak_ho_quant tptp_choice T args
6bc8d260d459 gracefully handle quantifiers of the form "All $ t" where "t" is not a lambda-abstraction in higher-order translations
blanchet
parents: 44859
diff changeset
   950
                    else IConst (name, T, T_args))
43987
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   951
      | intro _ _ (IAbs (bound, tm)) = IAbs (bound, intro false [] tm)
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   952
      | intro _ _ tm = tm
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   953
  in intro true [] end
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   954
44774
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   955
fun mangle_type_args_in_iterm format type_enc =
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   956
  if polymorphism_of_type_enc type_enc = Mangled_Monomorphic then
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   957
    let
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   958
      fun mangle (IApp (tm1, tm2)) = IApp (mangle tm1, mangle tm2)
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   959
        | mangle (tm as IConst (_, _, [])) = tm
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   960
        | mangle (tm as IConst (name as (s, _), T, T_args)) =
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   961
          (case strip_prefix_and_unascii const_prefix s of
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   962
             NONE => tm
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   963
           | SOME s'' =>
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   964
             case type_arg_policy type_enc (invert_const s'') of
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   965
               Mangled_Type_Args =>
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   966
               IConst (mangled_const_name format type_enc T_args name, T, [])
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   967
             | _ => tm)
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   968
        | mangle (IAbs (bound, tm)) = IAbs (bound, mangle tm)
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   969
        | mangle tm = tm
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   970
    in mangle end
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   971
  else
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   972
    I
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   973
44773
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   974
fun chop_fun 0 T = ([], T)
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   975
  | chop_fun n (Type (@{type_name fun}, [dom_T, ran_T])) =
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   976
    chop_fun (n - 1) ran_T |>> cons dom_T
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   977
  | chop_fun _ T = ([], T)
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   978
44774
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   979
fun filter_const_type_args _ _ _ [] = []
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   980
  | filter_const_type_args thy s ary T_args =
44773
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   981
    let
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   982
      val U = robust_const_type thy s
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   983
      val arg_U_vars = fold Term.add_tvarsT (U |> chop_fun ary |> fst) []
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   984
      val U_args = (s, U) |> robust_const_typargs thy
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   985
    in
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   986
      U_args ~~ T_args
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   987
      |> map (fn (U, T) =>
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   988
                 if member (op =) arg_U_vars (dest_TVar U) then dummyT else T)
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   989
    end
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   990
    handle TYPE _ => T_args
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   991
44774
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   992
fun filter_type_args_in_iterm thy type_enc =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   993
  let
44774
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   994
    fun filt ary (IApp (tm1, tm2)) = IApp (filt (ary + 1) tm1, filt 0 tm2)
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   995
      | filt _ (tm as IConst (_, _, [])) = tm
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   996
      | filt ary (IConst (name as (s, _), T, T_args)) =
44773
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   997
        (case strip_prefix_and_unascii const_prefix s of
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
   998
           NONE =>
44774
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
   999
           (name,
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
  1000
            if level_of_type_enc type_enc = No_Types orelse s = tptp_choice then
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
  1001
              []
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
  1002
            else
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
  1003
              T_args)
44773
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
  1004
         | SOME s'' =>
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
  1005
           let
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
  1006
             val s'' = invert_const s''
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
  1007
             fun filter_T_args false = T_args
44774
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
  1008
               | filter_T_args true = filter_const_type_args thy s'' ary T_args
44773
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
  1009
           in
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
  1010
             case type_arg_policy type_enc s'' of
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
  1011
               Explicit_Type_Args drop_args => (name, filter_T_args drop_args)
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
  1012
             | No_Type_Args => (name, [])
44774
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
  1013
             | Mangled_Type_Args => raise Fail "unexpected (un)mangled symbol"
44773
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
  1014
           end)
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
  1015
        |> (fn (name, T_args) => IConst (name, T, T_args))
44774
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
  1016
      | filt _ (IAbs (bound, tm)) = IAbs (bound, filt 0 tm)
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
  1017
      | filt _ tm = tm
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
  1018
  in filt 0 end
44773
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
  1019
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
  1020
fun iformula_from_prop ctxt format type_enc eq_as_iff =
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
  1021
  let
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
  1022
    val thy = Proof_Context.theory_of ctxt
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
  1023
    fun do_term bs t atomic_types =
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
  1024
      iterm_from_term thy format bs (Envir.eta_contract t)
44773
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
  1025
      |>> (introduce_proxies_in_iterm type_enc
44774
72785558a6ff separate mangling, which can (and should) be done before the formulas are first-orderized, and type arg filtering, which must be done after once the min arities have been computed
blanchet
parents: 44773
diff changeset
  1026
           #> mangle_type_args_in_iterm format type_enc
44773
e701dabbfe37 perform mangling before computing symbol arity, to avoid needless "hAPP"s and "hBOOL"s
blanchet
parents: 44772
diff changeset
  1027
           #> AAtom)
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
  1028
      ||> union (op =) atomic_types
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1029
    fun do_quant bs q pos s T t' =
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1030
      let
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1031
        val s = singleton (Name.variant_list (map fst bs)) s
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1032
        val universal = Option.map (q = AExists ? not) pos
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1033
        val name =
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1034
          s |> `(case universal of
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1035
                   SOME true => make_all_bound_var
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1036
                 | SOME false => make_exist_bound_var
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1037
                 | NONE => make_bound_var)
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1038
      in
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1039
        do_formula ((s, (name, T)) :: bs) pos t'
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1040
        #>> mk_aquant q [(name, SOME T)]
38518
54727b44e277 handle bound name conflicts gracefully in FOF translation
blanchet
parents: 38496
diff changeset
  1041
      end
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1042
    and do_conn bs c pos1 t1 pos2 t2 =
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1043
      do_formula bs pos1 t1 ##>> do_formula bs pos2 t2 #>> uncurry (mk_aconn c)
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1044
    and do_formula bs pos t =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1045
      case t of
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1046
        @{const Trueprop} $ t1 => do_formula bs pos t1
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1047
      | @{const Not} $ t1 => do_formula bs (Option.map not pos) t1 #>> mk_anot
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1048
      | Const (@{const_name All}, _) $ Abs (s, T, t') =>
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1049
        do_quant bs AForall pos s T t'
45167
6bc8d260d459 gracefully handle quantifiers of the form "All $ t" where "t" is not a lambda-abstraction in higher-order translations
blanchet
parents: 44859
diff changeset
  1050
      | (t0 as Const (@{const_name All}, _)) $ t1 =>
6bc8d260d459 gracefully handle quantifiers of the form "All $ t" where "t" is not a lambda-abstraction in higher-order translations
blanchet
parents: 44859
diff changeset
  1051
        do_formula bs pos (t0 $ eta_expand (map (snd o snd) bs) t1 1)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1052
      | Const (@{const_name Ex}, _) $ Abs (s, T, t') =>
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1053
        do_quant bs AExists pos s T t'
45167
6bc8d260d459 gracefully handle quantifiers of the form "All $ t" where "t" is not a lambda-abstraction in higher-order translations
blanchet
parents: 44859
diff changeset
  1054
      | (t0 as Const (@{const_name Ex}, _)) $ t1 =>
6bc8d260d459 gracefully handle quantifiers of the form "All $ t" where "t" is not a lambda-abstraction in higher-order translations
blanchet
parents: 44859
diff changeset
  1055
        do_formula bs pos (t0 $ eta_expand (map (snd o snd) bs) t1 1)
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1056
      | @{const HOL.conj} $ t1 $ t2 => do_conn bs AAnd pos t1 pos t2
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1057
      | @{const HOL.disj} $ t1 $ t2 => do_conn bs AOr pos t1 pos t2
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1058
      | @{const HOL.implies} $ t1 $ t2 =>
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1059
        do_conn bs AImplies (Option.map not pos) t1 pos t2
38864
4abe644fcea5 formerly unnamed infix equality now named HOL.eq
haftmann
parents: 38829
diff changeset
  1060
      | Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _])) $ t1 $ t2 =>
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
  1061
        if eq_as_iff then do_conn bs AIff NONE t1 NONE t2 else do_term bs t
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
  1062
      | _ => do_term bs t
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1063
  in do_formula [] end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1064
43264
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
  1065
fun presimplify_term _ [] t = t
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
  1066
  | presimplify_term ctxt presimp_consts t =
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
  1067
    t |> exists_Const (member (op =) presimp_consts o fst) t
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
  1068
         ? (Skip_Proof.make_thm (Proof_Context.theory_of ctxt)
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
  1069
            #> Meson.presimplify ctxt
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
  1070
            #> prop_of)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1071
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1072
fun concealed_bound_name j = atp_weak_prefix ^ string_of_int j
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1073
fun conceal_bounds Ts t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1074
  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
  1075
                    (0 upto length Ts - 1 ~~ Ts), t)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1076
fun reveal_bounds Ts =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1077
  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
  1078
                    (0 upto length Ts - 1 ~~ Ts))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1079
43265
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1080
fun is_fun_equality (@{const_name HOL.eq},
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1081
                     Type (_, [Type (@{type_name fun}, _), _])) = true
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1082
  | is_fun_equality _ = false
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1083
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
  1084
fun extensionalize_term ctxt t =
43265
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1085
  if exists_Const is_fun_equality t then
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1086
    let val thy = Proof_Context.theory_of ctxt in
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1087
      t |> cterm_of thy |> Meson.extensionalize_conv ctxt
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1088
        |> prop_of |> Logic.dest_equals |> snd
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1089
    end
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1090
  else
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1091
    t
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
  1092
43862
a14fdb8c0497 pass kind to lambda-translation function
blanchet
parents: 43861
diff changeset
  1093
fun simple_translate_lambdas do_lambdas ctxt t =
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1094
  let val thy = Proof_Context.theory_of ctxt in
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1095
    if Meson.is_fol_term thy t then
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1096
      t
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1097
    else
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1098
      let
44814
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812
diff changeset
  1099
        fun trans Ts t =
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1100
          case t of
44814
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812
diff changeset
  1101
            @{const Not} $ t1 => @{const Not} $ trans Ts t1
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1102
          | (t0 as Const (@{const_name All}, _)) $ Abs (s, T, t') =>
44814
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812
diff changeset
  1103
            t0 $ Abs (s, T, trans (T :: Ts) t')
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1104
          | (t0 as Const (@{const_name All}, _)) $ t1 =>
44814
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812
diff changeset
  1105
            trans Ts (t0 $ eta_expand Ts t1 1)
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1106
          | (t0 as Const (@{const_name Ex}, _)) $ Abs (s, T, t') =>
44814
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812
diff changeset
  1107
            t0 $ Abs (s, T, trans (T :: Ts) t')
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1108
          | (t0 as Const (@{const_name Ex}, _)) $ t1 =>
44814
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812
diff changeset
  1109
            trans Ts (t0 $ eta_expand Ts t1 1)
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812
diff changeset
  1110
          | (t0 as @{const HOL.conj}) $ t1 $ t2 =>
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812
diff changeset
  1111
            t0 $ trans Ts t1 $ trans Ts t2
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812
diff changeset
  1112
          | (t0 as @{const HOL.disj}) $ t1 $ t2 =>
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812
diff changeset
  1113
            t0 $ trans Ts t1 $ trans Ts t2
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812
diff changeset
  1114
          | (t0 as @{const HOL.implies}) $ t1 $ t2 =>
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812
diff changeset
  1115
            t0 $ trans Ts t1 $ trans Ts t2
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1116
          | (t0 as Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _])))
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1117
              $ t1 $ t2 =>
44814
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812
diff changeset
  1118
            t0 $ trans Ts t1 $ trans Ts t2
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1119
          | _ =>
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1120
            if not (exists_subterm (fn Abs _ => true | _ => false) t) then t
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1121
            else t |> Envir.eta_contract |> do_lambdas ctxt Ts
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1122
        val (t, ctxt') = Variable.import_terms true [t] ctxt |>> the_single
44814
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812
diff changeset
  1123
      in t |> trans [] |> singleton (Variable.export_terms ctxt' ctxt) end
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1124
  end
43856
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
  1125
43997
578460971517 fixed lambda concealing
blanchet
parents: 43989
diff changeset
  1126
fun do_cheaply_conceal_lambdas Ts (t1 $ t2) =
578460971517 fixed lambda concealing
blanchet
parents: 43989
diff changeset
  1127
    do_cheaply_conceal_lambdas Ts t1
578460971517 fixed lambda concealing
blanchet
parents: 43989
diff changeset
  1128
    $ do_cheaply_conceal_lambdas Ts t2
578460971517 fixed lambda concealing
blanchet
parents: 43989
diff changeset
  1129
  | do_cheaply_conceal_lambdas Ts (Abs (_, T, t)) =
578460971517 fixed lambda concealing
blanchet
parents: 43989
diff changeset
  1130
    Free (polymorphic_free_prefix ^ serial_string (),
578460971517 fixed lambda concealing
blanchet
parents: 43989
diff changeset
  1131
          T --> fastype_of1 (T :: Ts, t))
578460971517 fixed lambda concealing
blanchet
parents: 43989
diff changeset
  1132
  | do_cheaply_conceal_lambdas _ t = t
43856
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
  1133
43862
a14fdb8c0497 pass kind to lambda-translation function
blanchet
parents: 43861
diff changeset
  1134
fun do_introduce_combinators ctxt Ts t =
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
  1135
  let val thy = Proof_Context.theory_of ctxt in
43905
1ace987e22e5 avoid calling "Term.is_first_order" (indirectly) on a term with loose de Bruijns -- this is not necessary anyway because of the Abs check in "simple_translate_lambdas"
blanchet
parents: 43864
diff changeset
  1136
    t |> conceal_bounds Ts
1ace987e22e5 avoid calling "Term.is_first_order" (indirectly) on a term with loose de Bruijns -- this is not necessary anyway because of the Abs check in "simple_translate_lambdas"
blanchet
parents: 43864
diff changeset
  1137
      |> cterm_of thy
1ace987e22e5 avoid calling "Term.is_first_order" (indirectly) on a term with loose de Bruijns -- this is not necessary anyway because of the Abs check in "simple_translate_lambdas"
blanchet
parents: 43864
diff changeset
  1138
      |> Meson_Clausify.introduce_combinators_in_cterm
1ace987e22e5 avoid calling "Term.is_first_order" (indirectly) on a term with loose de Bruijns -- this is not necessary anyway because of the Abs check in "simple_translate_lambdas"
blanchet
parents: 43864
diff changeset
  1139
      |> prop_of |> Logic.dest_equals |> snd
1ace987e22e5 avoid calling "Term.is_first_order" (indirectly) on a term with loose de Bruijns -- this is not necessary anyway because of the Abs check in "simple_translate_lambdas"
blanchet
parents: 43864
diff changeset
  1140
      |> reveal_bounds Ts
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
  1141
  end
43862
a14fdb8c0497 pass kind to lambda-translation function
blanchet
parents: 43861
diff changeset
  1142
  (* A type variable of sort "{}" will make abstraction fail. *)
43997
578460971517 fixed lambda concealing
blanchet
parents: 43989
diff changeset
  1143
  handle THM _ => t |> do_cheaply_conceal_lambdas Ts
43862
a14fdb8c0497 pass kind to lambda-translation function
blanchet
parents: 43861
diff changeset
  1144
val introduce_combinators = simple_translate_lambdas do_introduce_combinators
a14fdb8c0497 pass kind to lambda-translation function
blanchet
parents: 43861
diff changeset
  1145
43864
58a7b3fdc193 fixed lambda-liftg: must ensure the formulas are in close form
blanchet
parents: 43863
diff changeset
  1146
fun preprocess_abstractions_in_terms trans_lambdas facts =
43862
a14fdb8c0497 pass kind to lambda-translation function
blanchet
parents: 43861
diff changeset
  1147
  let
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1148
    val (facts, lambda_ts) =
44501
5bde887b4785 make polymorphic encodings more complete
blanchet
parents: 44500
diff changeset
  1149
      facts |> map (snd o snd) |> trans_lambdas
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1150
            |>> map2 (fn (name, (kind, _)) => fn t => (name, (kind, t))) facts
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1151
    val lambda_facts =
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1152
      map2 (fn t => fn j =>
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1153
               ((lambda_fact_prefix ^ Int.toString j, Helper), (Axiom, t)))
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1154
           lambda_ts (1 upto length lambda_ts)
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1155
  in (facts, lambda_facts) end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1156
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1157
(* 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
  1158
   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
  1159
fun freeze_term t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1160
  let
44814
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812
diff changeset
  1161
    fun freeze (t $ u) = freeze t $ freeze u
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812
diff changeset
  1162
      | freeze (Abs (s, T, t)) = Abs (s, T, freeze t)
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812
diff changeset
  1163
      | freeze (Var ((s, i), T)) =
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1164
        Free (atp_weak_prefix ^ s ^ "_" ^ string_of_int i, T)
44814
52318464c73b also implemented ghost version of the tagged encodings
blanchet
parents: 44812