author  blanchet 
Tue, 21 Jun 2011 17:17:39 +0200  
changeset 43495  75d2e48c5d30 
parent 43493  bdb11c68f142 
child 43496  92f5a4c78b37 
permissions  rwrr 
43283  1 
(* 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 Sledgehammer. 
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*) 
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signature ATP_TRANSLATE = 
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sig 
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type 'a fo_term = 'a ATP_Problem.fo_term 
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type connective = ATP_Problem.connective 
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type ('a, 'b, 'c) formula = ('a, 'b, 'c) ATP_Problem.formula 
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type format = ATP_Problem.format 
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type formula_kind = ATP_Problem.formula_kind 
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type 'a problem = 'a ATP_Problem.problem 
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type name = string * string 
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datatype type_literal = 
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TyLitVar of name * name  
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TyLitFree of name * name 
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datatype arity_literal = 
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TConsLit of name * name * name list  
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TVarLit of name * name 
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type arity_clause = 
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{name: string, 

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prem_lits: arity_literal list, 

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concl_lits: arity_literal} 

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type class_rel_clause = 
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{name: string, 

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subclass: name, 

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superclass: name} 

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datatype combterm = 
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CombConst of name * typ * typ list  
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CombVar of name * typ  
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CombApp of combterm * combterm 
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datatype locality = 
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General  Helper  Extensionality  Intro  Elim  Simp  Local  Assum  

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Chained 

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datatype polymorphism = Polymorphic  Monomorphic  Mangled_Monomorphic 
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datatype type_level = 
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All_Types  Noninf_Nonmono_Types  Fin_Nonmono_Types  Const_Arg_Types  
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No_Types 

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datatype type_heaviness = Heavyweight  Lightweight 
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datatype type_sys = 
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Simple_Types of type_level  
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Preds of polymorphism * type_level * type_heaviness  
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Tags of polymorphism * type_level * type_heaviness 

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val bound_var_prefix : 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 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 preds_sym_formula_prefix : string 
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val lightweight_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_tag_name : string 
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val type_pred_name : string 
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val simple_type_prefix : string 
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val 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 make_bound_var : string > string 
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val make_schematic_var : string * int > string 
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val make_fixed_var : string > string 
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val make_schematic_type_var : string * int > string 
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val make_fixed_type_var : string > string 
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val make_fixed_const : string > string 
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val make_fixed_type_const : string > string 
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val make_type_class : string > string 
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val new_skolem_var_name_from_const : string > string 
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val num_type_args : theory > string > int 

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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 make_arity_clauses : 
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theory > string list > class list > class list * arity_clause list 
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val make_class_rel_clauses : 
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theory > class list > class list > class_rel_clause list 
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val combtyp_of : combterm > typ 
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val strip_combterm_comb : combterm > combterm * combterm list 
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val atyps_of : typ > typ list 
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val combterm_from_term : 
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theory > (string * typ) list > term > combterm * typ list 
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val is_locality_global : locality > bool 
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val type_sys_from_string : string > type_sys 
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val polymorphism_of_type_sys : type_sys > polymorphism 

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val level_of_type_sys : type_sys > type_level 

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val is_type_sys_virtually_sound : type_sys > bool 

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val is_type_sys_fairly_sound : type_sys > bool 

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val choose_format : format list > type_sys > format * type_sys 

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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_name : string > string 
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val unmangled_const : string > string * string fo_term list 
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val helper_table : ((string * bool) * thm list) list 
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val should_specialize_helper : type_sys > term > bool 
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val tfree_classes_of_terms : term list > string list 
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val tvar_classes_of_terms : term list > string list 
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val type_constrs_of_terms : theory > term list > string list 
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val prepare_atp_problem : 
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Proof.context > format > formula_kind > formula_kind > type_sys 
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> bool > 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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(* experimental *) 
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val generate_useful_info = false 
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fun useful_isabelle_info s = 
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if generate_useful_info then 

156 
SOME (ATerm ("[]", [ATerm ("isabelle_" ^ s, [])])) 

157 
else 

158 
NONE 

159 

160 
val intro_info = useful_isabelle_info "intro" 

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val elim_info = useful_isabelle_info "elim" 

162 
val simp_info = useful_isabelle_info "simp" 

163 

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val bound_var_prefix = "B_" 
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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 class_prefix = "cl_" 
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val skolem_const_prefix = "Sledgehammer" ^ 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 preds_sym_formula_prefix = "psy_" 
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val lightweight_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 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 = "hBOOL" 
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val app_op_name = "hAPP" 
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val type_tag_name = "ti" 
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val type_pred_name = "is" 
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val simple_type_prefix = "ty_" 
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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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203 

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(* Freshness almost guaranteed! *) 
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val sledgehammer_weak_prefix = "Sledgehammer:" 
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206 

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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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232 

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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 
43278  246 
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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253 

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(* If string s has the prefix s1, return the result of deleting it, 
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unASCII'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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261 

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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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277 

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val proxify_const = AList.lookup (op =) proxy_table #> Option.map (snd o snd) 
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279 

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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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291 
(@{const_name HOL.eq}, "equal"), 
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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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301 

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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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308 

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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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(*Remove the initial ' character from a type variable, if it is present*) 
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fun trim_type_var s = 
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if s <> "" andalso String.sub(s,0) = #"'" then String.extract(s,1,NONE) 
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else raise Fail ("trim_type: Malformed type variable encountered: " ^ s) 
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321 

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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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324 

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fun make_bound_var x = 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 (trim_type_var x, i)) 
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fun make_fixed_type_var x = tfree_prefix ^ (ascii_of (trim_type_var x)) 
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(* HOL.eq MUST BE "equal" because it's built into ATPs. *) 
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fun make_fixed_const @{const_name HOL.eq} = "equal" 
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 make_fixed_const c = const_prefix ^ lookup_const c 
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336 

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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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43093  341 
fun new_skolem_var_name_from_const s = 
342 
let val ss = s > space_explode Long_Name.separator in 

343 
nth ss (length ss  2) 

344 
end 

345 

346 
(* The number of type arguments of a constant, zero if it's monomorphic. For 

347 
(instances of) Skolem pseudoconstants, this information is encoded in the 

348 
constant name. *) 

349 
fun num_type_args thy s = 

350 
if String.isPrefix skolem_const_prefix s then 

351 
s > space_explode Long_Name.separator > List.last > Int.fromString > the 

352 
else 

353 
(s, Sign.the_const_type thy s) > Sign.const_typargs thy > length 

354 

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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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361 

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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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higherorder 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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369 

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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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375 
? 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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378 

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(** Definitions and functions for FOL clauses and formulas for TPTP **) 
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380 

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(* The first component is the type class; the second is a "TVar" or "TFree". *) 
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datatype type_literal = 
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TyLitVar of name * name  
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TyLitFree of name * name 
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385 

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386 

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(** Isabelle arities **) 
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388 

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datatype arity_literal = 
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TConsLit of name * name * name list  
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TVarLit of name * name 
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392 

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fun gen_TVars 0 = [] 
43093  394 
 gen_TVars n = ("T_" ^ string_of_int n) :: gen_TVars (n1) 
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395 

43263  396 
val type_class = the_single @{sort type} 
397 

398 
fun add_packed_sort tvar = 

399 
fold (fn s => s <> type_class ? cons (`make_type_class s, `I tvar)) 

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400 

43086  401 
type arity_clause = 
402 
{name: string, 

403 
prem_lits: arity_literal list, 

404 
concl_lits: arity_literal} 

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405 

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406 
(* 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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408 
let 
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409 
val tvars = gen_TVars (length args) 
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410 
val tvars_srts = ListPair.zip (tvars, args) 
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411 
in 
43086  412 
{name = name, 
43263  413 
prem_lits = [] > fold (uncurry add_packed_sort) tvars_srts > map TVarLit, 
43086  414 
concl_lits = TConsLit (`make_type_class cls, 
415 
`make_fixed_type_const tcons, 

416 
tvars ~~ tvars)} 

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417 
end 
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418 

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fun arity_clause _ _ (_, []) = [] 
43495  420 
 arity_clause seen n (tcons, ("HOL.type", _) :: ars) = (* ignore *) 
421 
arity_clause seen n (tcons, ars) 

422 
 arity_clause seen n (tcons, (ar as (class, _)) :: ars) = 

423 
if member (op =) seen class then 

424 
(* multiple arities for the same (tycon, class) pair *) 

425 
make_axiom_arity_clause (tcons, 

426 
lookup_const tcons ^ "___" ^ ascii_of class ^ "_" ^ string_of_int n, 

427 
ar) :: 

428 
arity_clause seen (n + 1) (tcons, ars) 

429 
else 

430 
make_axiom_arity_clause (tcons, lookup_const tcons ^ "___" ^ 

431 
ascii_of class, ar) :: 

432 
arity_clause (class :: seen) n (tcons, ars) 

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433 

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434 
fun multi_arity_clause [] = [] 
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435 
 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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437 

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438 
(*Generate all pairs (tycon,class,sorts) such that tycon belongs to class in theory thy 
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439 
provided its arguments have the corresponding sorts.*) 
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fun type_class_pairs thy tycons classes = 
43093  441 
let 
442 
val alg = Sign.classes_of thy 

443 
fun domain_sorts tycon = Sorts.mg_domain alg tycon o single 

444 
fun add_class tycon class = 

445 
cons (class, domain_sorts tycon class) 

446 
handle Sorts.CLASS_ERROR _ => I 

447 
fun try_classes tycon = (tycon, fold (add_class tycon) classes []) 

448 
in map try_classes tycons end 

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449 

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450 
(*Proving one (tycon, class) membership may require proving others, so iterate.*) 
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451 
fun iter_type_class_pairs _ _ [] = ([], []) 
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452 
 iter_type_class_pairs thy tycons classes = 
43263  453 
let 
454 
fun maybe_insert_class s = 

455 
(s <> type_class andalso not (member (op =) classes s)) 

456 
? insert (op =) s 

457 
val cpairs = type_class_pairs thy tycons classes 

458 
val newclasses = 

459 
[] > fold (fold (fold (fold maybe_insert_class) o snd) o snd) cpairs 

460 
val (classes', cpairs') = iter_type_class_pairs thy tycons newclasses 

43266  461 
in (classes' @ classes, union (op =) cpairs' cpairs) end 
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462 

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463 
fun make_arity_clauses thy tycons = 
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464 
iter_type_class_pairs thy tycons ##> multi_arity_clause 
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465 

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466 

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467 
(** Isabelle class relations **) 
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468 

43086  469 
type class_rel_clause = 
470 
{name: string, 

471 
subclass: name, 

472 
superclass: name} 

43085
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473 

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474 
(*Generate all pairs (sub,super) such that sub is a proper subclass of super in theory thy.*) 
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475 
fun class_pairs _ [] _ = [] 
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476 
 class_pairs thy subs supers = 
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477 
let 
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478 
val class_less = Sorts.class_less (Sign.classes_of thy) 
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479 
fun add_super sub super = class_less (sub, super) ? cons (sub, super) 
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480 
fun add_supers sub = fold (add_super sub) supers 
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481 
in fold add_supers subs [] end 
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482 

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483 
fun make_class_rel_clause (sub,super) = 
43086  484 
{name = sub ^ "_" ^ super, 
485 
subclass = `make_type_class sub, 

486 
superclass = `make_type_class super} 

43085
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487 

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488 
fun make_class_rel_clauses thy subs supers = 
43093  489 
map make_class_rel_clause (class_pairs thy subs supers) 
43085
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490 

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491 
datatype combterm = 
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492 
CombConst of name * typ * typ list  
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493 
CombVar of name * typ  
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494 
CombApp of combterm * combterm 
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495 

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496 
fun combtyp_of (CombConst (_, T, _)) = T 
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497 
 combtyp_of (CombVar (_, T)) = T 
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498 
 combtyp_of (CombApp (t1, _)) = snd (dest_funT (combtyp_of t1)) 
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499 

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500 
(*gets the head of a combinator application, along with the list of arguments*) 
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501 
fun strip_combterm_comb u = 
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502 
let fun stripc (CombApp(t,u), ts) = stripc (t, u::ts) 
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503 
 stripc x = x 
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504 
in stripc(u,[]) end 
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505 

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506 
fun atyps_of T = fold_atyps (insert (op =)) T [] 
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507 

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508 
fun new_skolem_const_name s num_T_args = 
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509 
[new_skolem_const_prefix, s, string_of_int num_T_args] 
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510 
> space_implode Long_Name.separator 
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511 

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512 
(* Converts a term (with combinators) into a combterm. Also accumulates sort 
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513 
infomation. *) 
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514 
fun combterm_from_term thy bs (P $ Q) = 
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515 
let 
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516 
val (P', P_atomics_Ts) = combterm_from_term thy bs P 
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517 
val (Q', Q_atomics_Ts) = combterm_from_term thy bs Q 
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518 
in (CombApp (P', Q'), union (op =) P_atomics_Ts Q_atomics_Ts) end 
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519 
 combterm_from_term thy _ (Const (c, T)) = 
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520 
let 
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521 
val tvar_list = 
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522 
(if String.isPrefix old_skolem_const_prefix c then 
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523 
[] > Term.add_tvarsT T > map TVar 
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524 
else 
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525 
(c, T) > Sign.const_typargs thy) 
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526 
val c' = CombConst (`make_fixed_const c, T, tvar_list) 
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527 
in (c', atyps_of T) end 
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528 
 combterm_from_term _ _ (Free (v, T)) = 
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529 
(CombConst (`make_fixed_var v, T, []), atyps_of T) 
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530 
 combterm_from_term _ _ (Var (v as (s, _), T)) = 
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531 
(if String.isPrefix Meson_Clausify.new_skolem_var_prefix s then 
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532 
let 
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533 
val Ts = T > strip_type > swap > op :: 
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534 
val s' = new_skolem_const_name s (length Ts) 
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535 
in CombConst (`make_fixed_const s', T, Ts) end 
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536 
else 
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537 
CombVar ((make_schematic_var v, s), T), atyps_of T) 
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538 
 combterm_from_term _ bs (Bound j) = 
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539 
nth bs j 
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540 
> (fn (s, T) => (CombConst (`make_bound_var s, T, []), atyps_of T)) 
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541 
 combterm_from_term _ _ (Abs _) = raise Fail "HOL clause: Abs" 
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542 

43421  543 
datatype locality = 
544 
General  Helper  Extensionality  Intro  Elim  Simp  Local  Assum  

545 
Chained 

43085
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546 

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547 
(* (quasi)underapproximation of the truth *) 
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548 
fun is_locality_global Local = false 
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549 
 is_locality_global Assum = false 
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550 
 is_locality_global Chained = false 
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551 
 is_locality_global _ = true 
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552 

42613
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changeset

553 
datatype polymorphism = Polymorphic  Monomorphic  Mangled_Monomorphic 
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554 
datatype type_level = 
43362  555 
All_Types  Noninf_Nonmono_Types  Fin_Nonmono_Types  Const_Arg_Types  
556 
No_Types 

43128  557 
datatype type_heaviness = Heavyweight  Lightweight 
42613
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558 

43102  559 
datatype type_sys = 
42722  560 
Simple_Types of type_level  
42837  561 
Preds of polymorphism * type_level * type_heaviness  
562 
Tags of polymorphism * type_level * type_heaviness 

42613
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changeset

563 

42689
e38590764c34
versions of ! and ? for the ASCIIchallenged Mirabelle
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diff
changeset

564 
fun try_unsuffixes ss s = 
e38590764c34
versions of ! and ? for the ASCIIchallenged Mirabelle
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565 
fold (fn s' => fn NONE => try (unsuffix s') s  some => some) ss NONE 
e38590764c34
versions of ! and ? for the ASCIIchallenged Mirabelle
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566 

42613
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567 
fun type_sys_from_string s = 
42722  568 
(case try (unprefix "poly_") s of 
569 
SOME s => (SOME Polymorphic, s) 

42613
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570 
 NONE => 
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571 
case try (unprefix "mono_") s of 
42722  572 
SOME s => (SOME Monomorphic, s) 
573 
 NONE => 

574 
case try (unprefix "mangled_") s of 

575 
SOME s => (SOME Mangled_Monomorphic, s) 

576 
 NONE => (NONE, s)) 

42613
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577 
> (fn s => 
42689
e38590764c34
versions of ! and ? for the ASCIIchallenged Mirabelle
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578 
(* "_query" and "_bang" are for the ASCIIchallenged Mirabelle. *) 
e38590764c34
versions of ! and ? for the ASCIIchallenged Mirabelle
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changeset

579 
case try_unsuffixes ["?", "_query"] s of 
43362  580 
SOME s => (Noninf_Nonmono_Types, s) 
42613
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581 
 NONE => 
42689
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582 
case try_unsuffixes ["!", "_bang"] s of 
43362  583 
SOME s => (Fin_Nonmono_Types, s) 
42613
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584 
 NONE => (All_Types, s)) 
42828  585 
> apsnd (fn s => 
42837  586 
case try (unsuffix "_heavy") s of 
43128  587 
SOME s => (Heavyweight, s) 
588 
 NONE => (Lightweight, s)) 

42837  589 
> (fn (poly, (level, (heaviness, core))) => 
590 
case (core, (poly, level, heaviness)) of 

43128  591 
("simple", (NONE, _, Lightweight)) => Simple_Types level 
42854
d99167ac4f8a
since we always default on the "_light" encoding (for good reasons, according to Judgment Day), get rid of that suffix
blanchet
parents:
42852
diff
changeset

592 
 ("preds", (SOME poly, _, _)) => Preds (poly, level, heaviness) 
42886
208ec29cc013
improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
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parents:
42885
diff
changeset

593 
 ("tags", (SOME Polymorphic, _, _)) => 
43361
e37b54d429f5
revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents:
43324
diff
changeset

594 
Tags (Polymorphic, level, heaviness) 
42854
d99167ac4f8a
since we always default on the "_light" encoding (for good reasons, according to Judgment Day), get rid of that suffix
blanchet
parents:
42852
diff
changeset

595 
 ("tags", (SOME poly, _, _)) => Tags (poly, level, heaviness) 
43128  596 
 ("args", (SOME poly, All_Types (* naja *), Lightweight)) => 
597 
Preds (poly, Const_Arg_Types, Lightweight) 

598 
 ("erased", (NONE, All_Types (* naja *), Lightweight)) => 

599 
Preds (Polymorphic, No_Types, Lightweight) 

42753
c9552e617acc
drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
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parents:
42750
diff
changeset

600 
 _ => raise Same.SAME) 
c9552e617acc
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parents:
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diff
changeset

601 
handle Same.SAME => error ("Unknown type system: " ^ quote s ^ ".") 
42613
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changeset

602 

42722  603 
fun polymorphism_of_type_sys (Simple_Types _) = Mangled_Monomorphic 
42828  604 
 polymorphism_of_type_sys (Preds (poly, _, _)) = poly 
605 
 polymorphism_of_type_sys (Tags (poly, _, _)) = poly 

42613
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changeset

606 

42722  607 
fun level_of_type_sys (Simple_Types level) = level 
42828  608 
 level_of_type_sys (Preds (_, level, _)) = level 
609 
 level_of_type_sys (Tags (_, level, _)) = level 

610 

43128  611 
fun heaviness_of_type_sys (Simple_Types _) = Heavyweight 
42837  612 
 heaviness_of_type_sys (Preds (_, _, heaviness)) = heaviness 
613 
 heaviness_of_type_sys (Tags (_, _, heaviness)) = heaviness 

42831
c9b0968484fb
more work on "shallow" encoding + adjustments to other encodings
blanchet
parents:
42830
diff
changeset

614 

42687  615 
fun is_type_level_virtually_sound level = 
43362  616 
level = All_Types orelse level = Noninf_Nonmono_Types 
42613
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changeset

617 
val is_type_sys_virtually_sound = 
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changeset

618 
is_type_level_virtually_sound o level_of_type_sys 
23b13b1bd565
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changeset

619 

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parents:
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diff
changeset

620 
fun is_type_level_fairly_sound level = 
43362  621 
is_type_level_virtually_sound level orelse level = Fin_Nonmono_Types 
42613
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diff
changeset

622 
val is_type_sys_fairly_sound = is_type_level_fairly_sound o level_of_type_sys 
23b13b1bd565
use strings to encode type systems in ATP module, to reduce the amount of outofplace information and also to make it easier to print the type system used
blanchet
parents:
42612
diff
changeset

623 

42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

624 
fun is_setting_higher_order THF (Simple_Types _) = true 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

625 
 is_setting_higher_order _ _ = false 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

626 

43101
1d46d85cd78b
make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents:
43098
diff
changeset

627 
fun choose_format formats (Simple_Types level) = 
1d46d85cd78b
make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents:
43098
diff
changeset

628 
if member (op =) formats THF then (THF, Simple_Types level) 
1d46d85cd78b
make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents:
43098
diff
changeset

629 
else if member (op =) formats TFF then (TFF, Simple_Types level) 
43128  630 
else choose_format formats (Preds (Mangled_Monomorphic, level, Heavyweight)) 
43101
1d46d85cd78b
make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents:
43098
diff
changeset

631 
 choose_format formats type_sys = 
1d46d85cd78b
make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents:
43098
diff
changeset

632 
(case hd formats of 
1d46d85cd78b
make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents:
43098
diff
changeset

633 
CNF_UEQ => 
1d46d85cd78b
make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents:
43098
diff
changeset

634 
(CNF_UEQ, case type_sys of 
1d46d85cd78b
make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents:
43098
diff
changeset

635 
Preds stuff => 
43289  636 
(if is_type_sys_fairly_sound type_sys then Tags else Preds) 
43101
1d46d85cd78b
make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents:
43098
diff
changeset

637 
stuff 
1d46d85cd78b
make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents:
43098
diff
changeset

638 
 _ => type_sys) 
1d46d85cd78b
make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents:
43098
diff
changeset

639 
 format => (format, type_sys)) 
1d46d85cd78b
make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents:
43098
diff
changeset

640 

40114  641 
type translated_formula = 
38752
6628adcae4a7
consider "locality" when assigning weights to facts
blanchet
parents:
38748
diff
changeset

642 
{name: string, 
42640
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset

643 
locality: locality, 
42525
7a506b0b644f
distinguish FOF and TFF (typed firstorder) in ATP abstract syntax tree
blanchet
parents:
42524
diff
changeset

644 
kind: formula_kind, 
42562  645 
combformula: (name, typ, combterm) formula, 
646 
atomic_types: typ list} 

38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

647 

42640
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset

648 
fun update_combformula f ({name, locality, kind, combformula, atomic_types} 
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset

649 
: translated_formula) = 
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset

650 
{name = name, locality = locality, kind = kind, combformula = f combformula, 
42562  651 
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

652 

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

653 
fun fact_lift f ({combformula, ...} : translated_formula) = f combformula 
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

654 

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

655 
val type_instance = Sign.typ_instance o Proof_Context.theory_of 
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

656 

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

657 
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

658 
let val T = get_T x in 
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

659 
if exists (curry (type_instance ctxt) T o get_T) xs then 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

660 
else x :: filter_out (curry (type_instance ctxt o swap) T o get_T) 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

661 
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

662 

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

663 
(* 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

664 
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

665 
Explicit_Type_Args of bool  
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

666 
Mangled_Type_Args of bool  
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

667 
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

668 

42836  669 
fun should_drop_arg_type_args (Simple_Types _) = 
670 
false (* since TFF doesn't support overloading *) 

671 
 should_drop_arg_type_args type_sys = 

672 
level_of_type_sys type_sys = All_Types andalso 

43128  673 
heaviness_of_type_sys type_sys = Heavyweight 
42831
c9b0968484fb
more work on "shallow" encoding + adjustments to other encodings
blanchet
parents:
42830
diff
changeset

674 

43128  675 
fun general_type_arg_policy (Tags (_, All_Types, Heavyweight)) = No_Type_Args 
43105
bb0ceef7d39f
no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents:
43104
diff
changeset

676 
 general_type_arg_policy type_sys = 
bb0ceef7d39f
no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents:
43104
diff
changeset

677 
if level_of_type_sys type_sys = No_Types then 
bb0ceef7d39f
no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents:
43104
diff
changeset

678 
No_Type_Args 
bb0ceef7d39f
no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents:
43104
diff
changeset

679 
else if polymorphism_of_type_sys type_sys = Mangled_Monomorphic then 
bb0ceef7d39f
no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents:
43104
diff
changeset

680 
Mangled_Type_Args (should_drop_arg_type_args type_sys) 
bb0ceef7d39f
no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents:
43104
diff
changeset

681 
else 
bb0ceef7d39f
no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents:
43104
diff
changeset

682 
Explicit_Type_Args (should_drop_arg_type_args type_sys) 
42563  683 

42951
40bf0173fbed
pass no type args to hAPP in "poly_args" type system, which is unsound anyway and should correspond as closely as possible to the old unsound encoding
blanchet
parents:
42944
diff
changeset

684 
fun type_arg_policy type_sys s = 
40bf0173fbed
pass no type args to hAPP in "poly_args" type system, which is unsound anyway and should correspond as closely as possible to the old unsound encoding
blanchet
parents:
42944
diff
changeset

685 
if s = @{const_name HOL.eq} orelse 
42966
4e2d6c1e5392
more work on parsing LEOII proofs without lambdas
blanchet
parents:
42963
diff
changeset

686 
(s = app_op_name andalso level_of_type_sys type_sys = Const_Arg_Types) then 
42951
40bf0173fbed
pass no type args to hAPP in "poly_args" type system, which is unsound anyway and should correspond as closely as possible to the old unsound encoding
blanchet
parents:
42944
diff
changeset

687 
No_Type_Args 
43105
bb0ceef7d39f
no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents:
43104
diff
changeset

688 
else if s = type_tag_name then 
bb0ceef7d39f
no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents:
43104
diff
changeset

689 
Explicit_Type_Args false 
42951
40bf0173fbed
pass no type args to hAPP in "poly_args" type system, which is unsound anyway and should correspond as closely as possible to the old unsound encoding
blanchet
parents:
42944
diff
changeset

690 
else 
40bf0173fbed
pass no type args to hAPP in "poly_args" type system, which is unsound anyway and should correspond as closely as possible to the old unsound encoding
blanchet
parents:
42944
diff
changeset

691 
general_type_arg_policy type_sys 
42227
662b50b7126f
if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents:
42180
diff
changeset

692 

43085
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

693 
(*Make literals for sorted type variables*) 
43263  694 
fun generic_add_sorts_on_type (_, []) = I 
695 
 generic_add_sorts_on_type ((x, i), s :: ss) = 

696 
generic_add_sorts_on_type ((x, i), ss) 

697 
#> (if s = the_single @{sort HOL.type} then 

43093  698 
I 
699 
else if i = ~1 then 

43263  700 
insert (op =) (TyLitFree (`make_type_class s, `make_fixed_type_var x)) 
43093  701 
else 
43263  702 
insert (op =) (TyLitVar (`make_type_class s, 
703 
(make_schematic_type_var (x, i), x)))) 

704 
fun add_sorts_on_tfree (TFree (s, S)) = generic_add_sorts_on_type ((s, ~1), S) 

705 
 add_sorts_on_tfree _ = I 

706 
fun add_sorts_on_tvar (TVar z) = generic_add_sorts_on_type z 

707 
 add_sorts_on_tvar _ = I 

43085
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

708 

43263  709 
fun type_literals_for_types type_sys add_sorts_on_typ Ts = 
710 
[] > level_of_type_sys type_sys <> No_Types ? fold add_sorts_on_typ Ts 

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

711 

42534
46e690db16b8
fake type declarations for fulltype args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents:
42533
diff
changeset

712 
fun mk_aconns c phis = 
46e690db16b8
fake type declarations for fulltype args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents:
42533
diff
changeset

713 
let val (phis', phi') = split_last phis in 
46e690db16b8
fake type declarations for fulltype args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents:
42533
diff
changeset

714 
fold_rev (mk_aconn c) phis' phi' 
46e690db16b8
fake type declarations for fulltype args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents:
42533
diff
changeset

715 
end 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

716 
fun mk_ahorn [] phi = phi 
42534
46e690db16b8
fake type declarations for fulltype args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents:
42533
diff
changeset

717 
 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

718 
fun mk_aquant _ [] phi = phi 
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset

719 
 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

720 
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

721 
 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

722 

42522
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset

723 
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

724 
let 
a5ee3b8e5a90
improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents:
41140
diff
changeset

725 
fun formula_vars bounds (AQuant (_, xs, phi)) = 
42526  726 
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

727 
 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

728 
 formula_vars bounds (AAtom tm) = 
42526  729 
union (op =) (atom_vars tm [] 
730 
> 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

731 
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

732 

42531
a462dbaa584f
added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents:
42530
diff
changeset

733 
fun combterm_vars (CombApp (tm1, tm2)) = fold combterm_vars [tm1, tm2] 
42522
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset

734 
 combterm_vars (CombConst _) = I 
42574  735 
 combterm_vars (CombVar (name, T)) = insert (op =) (name, SOME T) 
42674  736 
fun close_combformula_universally phi = close_universally combterm_vars phi 
42522
413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset

737 

413b56894f82
close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents:
42521
diff
changeset

738 
fun term_vars (ATerm (name as (s, _), tms)) = 
42998
1c80902d0456
fully support all type system encodings in typed formats (TFF, THF)
blanchet
parents:
42994
diff
changeset

739 
is_tptp_variable s ? insert (op =) (name, NONE) #> fold term_vars tms 
42674  740 
fun close_formula_universally phi = close_universally term_vars phi 
41145
a5ee3b8e5a90
improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents:
41140
diff
changeset

741 

42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

742 
val homo_infinite_type_name = @{type_name ind} (* any infinite type *) 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

743 
val homo_infinite_type = Type (homo_infinite_type_name, []) 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

744 

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

745 
fun fo_term_from_typ format type_sys = 
42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

746 
let 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

747 
fun term (Type (s, Ts)) = 
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

748 
ATerm (case (is_setting_higher_order format type_sys, s) of 
42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

749 
(true, @{type_name bool}) => `I tptp_bool_type 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

750 
 (true, @{type_name fun}) => `I tptp_fun_type 
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

751 
 _ => if s = homo_infinite_type_name andalso 
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

752 
(format = TFF orelse format = THF) then 
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

753 
`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

754 
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

755 
`make_fixed_type_const s, 
42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

756 
map term Ts) 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

757 
 term (TFree (s, _)) = ATerm (`make_fixed_type_var s, []) 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

758 
 term (TVar ((x as (s, _)), _)) = 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

759 
ATerm ((make_schematic_type_var x, s), []) 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

760 
in term end 
42562  761 

43401
e93dfcb53535
fixed soundness bug made more visible by previous change
blanchet
parents:
43399
diff
changeset

762 
fun fo_term_for_type_arg format type_sys T = 
e93dfcb53535
fixed soundness bug made more visible by previous change
blanchet
parents:
43399
diff
changeset

763 
if T = dummyT then NONE else SOME (fo_term_from_typ format type_sys T) 
e93dfcb53535
fixed soundness bug made more visible by previous change
blanchet
parents:
43399
diff
changeset

764 

42562  765 
(* 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

766 
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

767 

42562  768 
fun generic_mangled_type_name f (ATerm (name, [])) = f name 
769 
 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

770 
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

771 
^ ")" 
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

772 

42998
1c80902d0456
fully support all type system encodings in typed formats (TFF, THF)
blanchet
parents:
42994
diff
changeset

773 
val bool_atype = AType (`I tptp_bool_type) 
1c80902d0456
fully support all type system encodings in typed formats (TFF, THF)
blanchet
parents:
42994
diff
changeset

774 

43085
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

775 
fun make_simple_type s = 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

776 
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

777 
s = tptp_individual_type then 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

778 
s 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

779 
else 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

780 
simple_type_prefix ^ ascii_of s 
0a2f5b86bdd7
first step in sharing more code between ATP and Metis translation
blanchet
parents:
43064
diff
changeset

781 

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

782 
fun ho_type_from_fo_term format type_sys pred_sym ary = 
42963  783 
let 
784 
fun to_atype ty = 

785 
AType ((make_simple_type (generic_mangled_type_name fst ty), 

786 
generic_mangled_type_name snd ty)) 

787 
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

788 
fun to_fo 0 ty = if pred_sym then bool_atype else to_atype ty 
42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

789 
 to_fo ary (ATerm (_, tys)) = to_afun to_atype (to_fo (ary  1)) tys 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

790 
fun to_ho (ty as ATerm ((s, _), tys)) = 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

791 
if s = tptp_fun_type then to_afun to_ho to_ho tys else to_atype ty 
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

792 
in if is_setting_higher_order format type_sys then to_ho else to_fo ary end 
42963  793 

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

794 
fun mangled_type format type_sys pred_sym ary = 
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

795 
ho_type_from_fo_term format type_sys pred_sym ary 
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

796 
o fo_term_from_typ format type_sys 
42963  797 

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

798 
fun mangled_const_name format type_sys T_args (s, s') = 
42963  799 
let 
43401
e93dfcb53535
fixed soundness bug made more visible by previous change
blanchet
parents:
43399
diff
changeset

800 
val ty_args = T_args > map_filter (fo_term_for_type_arg format type_sys) 
42963  801 
fun type_suffix f g = 
802 
fold_rev (curry (op ^) o g o prefix mangled_type_sep 

803 
o generic_mangled_type_name f) ty_args "" 

804 
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

805 

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

806 
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

807 
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

808 

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

809 
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

810 
(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

811 
 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

812 
[] >> 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

813 
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

814 
(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

815 

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

816 
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

817 
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

818 
> 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

819 
(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

820 
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

821 
> 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

822 

42561
23ddc4e3d19c
have properly typeinstantiated helper facts (combinators and If)
blanchet
parents:
42560
diff
changeset

823 
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

824 
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

825 
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

826 
(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

827 
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

828 

43017
944b19ab6003
removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents:
43001
diff
changeset

829 
fun introduce_proxies format type_sys = 
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset

830 
let 
43017
944b19ab6003
removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents:
43001
diff
changeset

831 
fun intro top_level (CombApp (tm1, tm2)) = 
944b19ab6003
removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents:
43001
diff
changeset

832 
CombApp (intro top_level tm1, intro false tm2) 
944b19ab6003
removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents:
43001
diff
changeset

833 
 intro top_level (CombConst (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

834 
(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

835 
SOME proxy_base => 
43000
bd424c3dde46
cleaner handling of equality and proxies (esp. for THF)
blanchet
parents:
42998
diff
changeset

836 
if top_level orelse is_setting_higher_order format type_sys then 
bd424c3dde46
cleaner handling of equality and proxies (esp. for THF)
blanchet
parents:
42998
diff
changeset

837 
case (top_level, s) of 
bd424c3dde46
cleaner handling of equality and proxies (esp. for THF)
blanchet
parents:
42998
diff
changeset

838 
(_, "c_False") => (`I tptp_false, []) 
bd424c3dde46
cleaner handling of equality and proxies (esp. for THF)
blanchet
parents:
42998
diff
changeset

839 
 (_, "c_True") => (`I tptp_true, []) 
bd424c3dde46
cleaner handling of equality and proxies (esp. for THF)
blanchet
parents:
42998
diff
changeset

840 
 (false, "c_Not") => (`I tptp_not, []) 
bd424c3dde46
cleaner handling of equality and proxies (esp. for THF)
blanchet
parents:
42998
diff
changeset

841 
 (false, "c_conj") => (`I tptp_and, []) 
bd424c3dde46
cleaner handling of equality and proxies (esp. for THF)
blanchet
parents:
42998
diff
changeset

842 
 (false, "c_disj") => (`I tptp_or, []) 
bd424c3dde46
cleaner handling of equality and proxies (esp. for THF)
blanchet
parents:
42998
diff
changeset

843 
 (false, "c_implies") => (`I tptp_implies, []) 
bd424c3dde46
cleaner handling of equality and proxies (esp. for THF)
blanchet
parents:
42998
diff
changeset

844 
 (false, s) => 
43017
944b19ab6003
removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents:
43001
diff
changeset

845 
if is_tptp_equal s then (`I tptp_equal, []) 
944b19ab6003
removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents:
43001
diff
changeset

846 
else (proxy_base >> prefix const_prefix, T_args) 
43000
bd424c3dde46
cleaner handling of equality and proxies (esp. for THF)
blanchet
parents:
42998
diff
changeset

847 
 _ => (name, []) 
42569
5737947e4c77
make sure that fequal keeps its type arguments for mangled type systems
blanchet
parents:
42568
diff
changeset

848 
else 
42574  849 
(proxy_base >> prefix const_prefix, T_args) 
850 
 NONE => (name, T_args)) 

851 
> (fn (name, T_args) => CombConst (name, T, T_args)) 

43017
944b19ab6003
removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents:
43001
diff
changeset

852 
 intro _ tm = tm 
944b19ab6003
removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents:
43001
diff
changeset

853 
in intro true end 
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset

854 

42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

855 
fun combformula_from_prop thy format type_sys eq_as_iff = 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

856 
let 
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset

857 
fun do_term bs t atomic_types = 
41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

858 
combterm_from_term thy bs (Envir.eta_contract t) 
42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

859 
>> (introduce_proxies format type_sys #> AAtom) 
42568
7b9801a34836
no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents:
42566
diff
changeset

860 
> union (op =) atomic_types 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

861 
fun do_quant bs q s T t' = 
43324
2b47822868e4
discontinued Name.variant to emphasize that this is oldstyle / indirect;
wenzelm
parents:
43304
diff
changeset

862 
let val s = singleton (Name.variant_list (map fst bs)) s in 
38518
54727b44e277
handle bound name conflicts gracefully in FOF translation
blanchet
parents:
38496
diff
changeset

863 
do_formula ((s, T) :: bs) t' 
42562  864 
#>> mk_aquant q [(`make_bound_var s, SOME T)] 
38518
54727b44e277
handle bound name conflicts gracefully in FOF translation
blanchet
parents:
38496
diff
changeset

865 
end 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

866 
and do_conn bs c t1 t2 = 
43198  867 
do_formula bs t1 ##>> do_formula bs t2 #>> uncurry (mk_aconn c) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

868 
and do_formula bs t = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

869 
case t of 
43096  870 
@{const Trueprop} $ t1 => do_formula bs t1 
871 
 @{const Not} $ t1 => do_formula bs t1 #>> mk_anot 

38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

872 
 Const (@{const_name All}, _) $ Abs (s, T, t') => 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

873 
do_quant bs AForall s T t' 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

874 
 Const (@{const_name Ex}, _) $ Abs (s, T, t') => 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

875 
do_quant bs AExists s T t' 
38795
848be46708dc
formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents:
38786
diff
changeset

876 
 @{const HOL.conj} $ t1 $ t2 => do_conn bs AAnd t1 t2 
848be46708dc
formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents:
38786
diff
changeset

877 
 @{const HOL.disj} $ t1 $ t2 => do_conn bs AOr t1 t2 
38786
e46e7a9cb622
formerly unnamed infix impliciation now named HOL.implies
haftmann
parents:
38752
diff
changeset

878 
 @{const HOL.implies} $ t1 $ t2 => do_conn bs AImplies t1 t2 
38864
4abe644fcea5
formerly unnamed infix equality now named HOL.eq
haftmann
parents:
38829
diff
changeset

879 
 Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _])) $ t1 $ t2 => 
41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

880 
if eq_as_iff then do_conn bs AIff t1 t2 else do_term bs t 
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

881 
 _ => do_term bs t 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

882 
in do_formula [] end 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

883 

43264
a1a48c69d623
don't needlessly presimplify  makes ATP problem preparation much faster
blanchet
parents:
43263
diff
changeset

884 
fun presimplify_term _ [] t = t 
a1a48c69d623
don't needlessly presimplify  makes ATP problem preparation much faster
blanchet
parents:
43263
diff
changeset

885 
 presimplify_term ctxt presimp_consts t = 
a1a48c69d623
don't needlessly presimplify  makes ATP problem preparation much faster
blanchet
parents:
43263
diff
changeset

886 
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

887 
? (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

888 
#> Meson.presimplify ctxt 
a1a48c69d623
don't needlessly presimplify  makes ATP problem preparation much faster
blanchet
parents:
43263
diff
changeset

889 
#> prop_of) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

890 

41491  891 
fun concealed_bound_name j = sledgehammer_weak_prefix ^ string_of_int j 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

892 
fun conceal_bounds Ts t = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

893 
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

894 
(0 upto length Ts  1 ~~ Ts), t) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

895 
fun reveal_bounds Ts = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

896 
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

897 
(0 upto length Ts  1 ~~ Ts)) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

898 

43265  899 
fun is_fun_equality (@{const_name HOL.eq}, 
900 
Type (_, [Type (@{type_name fun}, _), _])) = true 

901 
 is_fun_equality _ = false 

902 

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

903 
fun extensionalize_term ctxt t = 
43265  904 
if exists_Const is_fun_equality t then 
905 
let val thy = Proof_Context.theory_of ctxt in 

906 
t > cterm_of thy > Meson.extensionalize_conv ctxt 

907 
> prop_of > Logic.dest_equals > snd 

908 
end 

909 
else 

910 
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

911 

38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

912 
fun introduce_combinators_in_term ctxt kind t = 
42361  913 
let val thy = Proof_Context.theory_of ctxt in 
38491
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

914 
if Meson.is_fol_term thy t then 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

915 
t 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

916 
else 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

917 
let 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

918 
fun aux Ts t = 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

919 
case t of 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

920 
@{const Not} $ t1 => @{const Not} $ aux Ts t1 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

921 
 (t0 as Const (@{const_name All}, _)) $ Abs (s, T, t') => 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

922 
t0 $ Abs (s, T, aux (T :: Ts) t') 
38652
e063be321438
perform etaexpansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents:
38618
diff
changeset

923 
 (t0 as Const (@{const_name All}, _)) $ t1 => 
e063be321438
perform etaexpansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents:
38618
diff
changeset

924 
aux Ts (t0 $ eta_expand Ts t1 1) 
38491
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

925 
 (t0 as Const (@{const_name Ex}, _)) $ Abs (s, T, t') => 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

926 
t0 $ Abs (s, T, aux (T :: Ts) t') 
38652
e063be321438
perform etaexpansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents:
38618
diff
changeset

927 
 (t0 as Const (@{const_name Ex}, _)) $ t1 => 
e063be321438
perform etaexpansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents:
38618
diff
changeset

928 
aux Ts (t0 $ eta_expand Ts t1 1) 
38795
848be46708dc
formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents:
38786
diff
changeset

929 
 (t0 as @{const HOL.conj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2 
848be46708dc
formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents:
38786
diff
changeset

930 
 (t0 as @{const HOL.disj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2 
38786
e46e7a9cb622
formerly unnamed infix impliciation now named HOL.implies
haftmann
parents:
38752
diff
changeset

931 
 (t0 as @{const HOL.implies}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2 
38864
4abe644fcea5
formerly unnamed infix equality now named HOL.eq
haftmann
parents:
38829
diff
changeset

932 
 (t0 as Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _]))) 
38491
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

933 
$ t1 $ t2 => 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

934 
t0 $ aux Ts t1 $ aux Ts t2 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

935 
 _ => if not (exists_subterm (fn Abs _ => true  _ => false) t) then 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

936 
t 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

937 
else 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

938 
t > conceal_bounds Ts 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

939 
> Envir.eta_contract 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

940 
> cterm_of thy 
39890  941 
> Meson_Clausify.introduce_combinators_in_cterm 
38491
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

942 
> prop_of > Logic.dest_equals > snd 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

943 
> reveal_bounds Ts 
39370
f8292d3020db
use same hack as in "Async_Manager" to work around Proof General bug
blanchet
parents:
39005
diff
changeset

944 
val (t, ctxt') = Variable.import_terms true [t] ctxt >> the_single 
38491
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

945 
in t > aux [] > singleton (Variable.export_terms ctxt' ctxt) end 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

946 
handle THM _ => 
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

947 
(* A type variable of sort "{}" will make abstraction fail. *) 
38613
4ca2cae2653f
use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents:
38610
diff
changeset

948 
if kind = Conjecture then HOLogic.false_const 
4ca2cae2653f
use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents:
38610
diff
changeset

949 
else HOLogic.true_const 
38491
f7e51d981a9f
invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents:
38282
diff
changeset

950 
end 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

951 

319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

952 
(* 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

953 
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

954 
fun freeze_term t = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

955 
let 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

956 
fun aux (t $ u) = aux t $ aux u 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

957 
 aux (Abs (s, T, t)) = Abs (s, T, aux t) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

958 
 aux (Var ((s, i), T)) = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

959 
Free (sledgehammer_weak_prefix ^ s ^ "_" ^ string_of_int i, T) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

960 
 aux t = t 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

961 
in t > exists_subterm is_Var t ? aux end 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

962 

43264
a1a48c69d623
don't needlessly presimplify  makes ATP problem preparation much faster
blanchet
parents:
43263
diff
changeset

963 
fun preprocess_prop ctxt presimp_consts kind t = 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

964 
let 
42361  965 
val thy = Proof_Context.theory_of ctxt 
38608
01ed56c46259
beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents:
38606
diff
changeset

966 
val t = t > Envir.beta_eta_contract 
42944
9e620869a576
improved Waldmeister support  even run it by default on unit equational goals
blanchet
parents:
42943
diff
changeset

967 
> transform_elim_prop 
41211
1e2e16bc0077
no need to do a superduper atomization if Metis fails afterwards anyway
blanchet
parents:
41199
diff
changeset

968 
> Object_Logic.atomize_term thy 
42563  969 
val need_trueprop = (fastype_of t = @{typ bool}) 
43096  970 
in 
971 
t > need_trueprop ? HOLogic.mk_Trueprop 

972 
> Raw_Simplifier.rewrite_term thy (Meson.unfold_set_const_simps ctxt) [] 

973 
> extensionalize_term ctxt 

43264
a1a48c69d623
don't needlessly presimplify  makes ATP problem preparation much faster
blanchet
parents:
43263
diff
changeset

974 
> presimplify_term ctxt presimp_consts 
43120
a9c2cdf4ae97
make sure "Trueprop" is removed before combinators are added  the code is fragile in that respect
blanchet
parents:
43105
diff
changeset

975 
> perhaps (try (HOLogic.dest_Trueprop)) 
43096  976 
> introduce_combinators_in_term ctxt kind 
977 
end 

978 

979 
(* making fact and conjecture formulas *) 

980 
fun make_formula thy format type_sys eq_as_iff name loc kind t = 

981 
let 

42962
3b50fdeb6cfc
started adding support for THF output (but no lambdas)
blanchet
parents:
42956
diff
changeset

982 
val (combformula, atomic_types) = 
42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

983 
combformula_from_prop thy format type_sys eq_as_iff t [] 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

984 
in 
42640
879d2d6b05ce
generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents:
42613
diff
changeset

985 
{name = name, locality = loc, kind = kind, combformula = combformula, 
42562  986 
atomic_types = atomic_types} 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

987 
end 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

988 

43295
30aaab778416
pass Metis facts and negated conjecture as facts, with (almost) correctly set localities, so that the correct encoding is used for nonmonotonic occurrences of infinite types
blanchet
parents:
43293
diff
changeset

989 
fun make_fact ctxt format type_sys eq_as_iff preproc presimp_consts 
42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

990 
((name, loc), t) = 
43096  991 
let val thy = Proof_Context.theory_of ctxt in 
43295
30aaab778416
pass Metis facts and negated conjecture as facts, with (almost) correctly set localities, so that the correct encoding is used for nonmonotonic occurrences of infinite types
blanchet
parents:
43293
diff
changeset

992 
case t > preproc ? preprocess_prop ctxt presimp_consts Axiom 
30aaab778416
pass Metis facts and negated conjecture as facts, with (almost) correctly set localities, so that the correct encoding is used for nonmonotonic occurrences of infinite types
blanchet
parents:
43293
diff
changeset

993 
> make_formula thy format type_sys (eq_as_iff andalso format <> CNF) 
30aaab778416
pass Metis facts and negated conjecture as facts, with (almost) correctly set localities, so that the correct encoding is used for nonmonotonic occurrences of infinite types
blanchet
parents:
43293
diff
changeset

994 
name loc Axiom of 
30aaab778416
pass Metis facts and negated conjecture as facts, with (almost) correctly set localities, so that the correct encoding is used for nonmonotonic occurrences of infinite types
blanchet
parents:
43293
diff
changeset

995 
formula as {combformula = AAtom (CombConst ((s, _), _, _)), ...} => 
43096  996 
if s = tptp_true then NONE else SOME formula 
43295
30aaab778416
pass Metis facts and negated conjecture as facts, with (almost) correctly set localities, so that the correct encoding is used for nonmonotonic occurrences of infinite types
blanchet
parents:
43293
diff
changeset

997 
 formula => SOME formula 
43096  998 
end 
42561
23ddc4e3d19c
have properly typeinstantiated helper facts (combinators and If)
blanchet
parents:
42560
diff
changeset

999 

43264
a1a48c69d623
don't needlessly presimplify  makes ATP problem preparation much faster
blanchet
parents:
43263
diff
changeset

1000 
fun make_conjecture ctxt format prem_kind type_sys preproc presimp_consts ts = 
43096  1001 
let 
1002 
val thy = Proof_Context.theory_of ctxt 

1003 
val last = length ts  1 

1004 
in 

42709
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset

1005 
map2 (fn j => fn t => 
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset

1006 
let 
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset

1007 
val (kind, maybe_negate) = 
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset

1008 
if j = last then 
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset

1009 
(Conjecture, I) 
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset

1010 
else 
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset

1011 
(prem_kind, 
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset

1012 
if prem_kind = Conjecture then update_combformula mk_anot 
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset

1013 
else I) 
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset

1014 
in 
43264
a1a48c69d623
don't needlessly presimplify  makes ATP problem preparation much faster
blanchet
parents:
43263
diff
changeset

1015 
t > preproc ? 
a1a48c69d623
don't needlessly presimplify  makes ATP problem preparation much faster
blanchet
parents:
43263
diff
changeset

1016 
(preprocess_prop ctxt presimp_consts kind #> freeze_term) 
43193
e11bd628f1a5
improved ATP clausifier so it can deal with "x => (y <=> z)"
blanchet
parents:
43192
diff
changeset

1017 
> make_formula thy format type_sys (format <> CNF) 
43293
a80cdc4b27a3
made "query" type systes a bit more sound  local facts, e.g. the negated conjecture, may make invalid the infinity check, e.g. if we are proving that there exists two values of an infinite type, we can use the negated conjecture that there is only one value to derive unsound proofs unless the type is properly encoded
blanchet
parents:
43289
diff
changeset

1018 
(string_of_int j) Local kind 
42962
3b50fdeb6cfc
started adding support for THF output (but no lambdas)
blanchet
parents:
42956
diff
changeset

1019 
> maybe_negate 
42709
e7af132d48fe
allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents:
42701
diff
changeset

1020 
end) 
38613
4ca2cae2653f
use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents:
38610
diff
changeset

1021 
(0 upto last) ts 
4ca2cae2653f
use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents:
38610
diff
changeset

1022 
end 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

1023 

42682
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFFtypes)
blanchet
parents:
42680
diff
changeset

1024 
(** Finite and infinite type inference **) 
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFFtypes)
blanchet
parents:
42680
diff
changeset

1025 

42886
208ec29cc013
improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents:
42885
diff
changeset

1026 
fun deep_freeze_atyp (TVar (_, S)) = TFree ("v", S) 
208ec29cc013
improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents:
42885
diff
changeset

1027 
 deep_freeze_atyp T = T 
208ec29cc013
improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents:
42885
diff
changeset

1028 
val deep_freeze_type = map_atyps deep_freeze_atyp 
208ec29cc013
improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents:
42885
diff
changeset

1029 

42682
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFFtypes)
blanchet
parents:
42680
diff
changeset

1030 
(* Finite types such as "unit", "bool", "bool * bool", and "bool => bool" are 
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFFtypes)
blanchet
parents:
42680
diff
changeset

1031 
dangerous because their "exhaust" properties can easily lead to unsound ATP 
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFFtypes)
blanchet
parents:
42680
diff
changeset

1032 
proofs. On the other hand, all HOL infinite types can be given the same 
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFFtypes)
blanchet
parents:
42680
diff
changeset

1033 
models in firstorder logic (via LÃ¶wenheimSkolem). *) 
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFFtypes)
blanchet
parents:
42680
diff
changeset

1034 

42886
208ec29cc013
improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents:
42885
diff
changeset

1035 
fun should_encode_type ctxt (nonmono_Ts as _ :: _) _ T = 
208ec29cc013
improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents:
42885
diff
changeset

1036 
exists (curry (type_instance ctxt) (deep_freeze_type T)) nonmono_Ts 
42836  1037 
 should_encode_type _ _ All_Types _ = true 
43362  1038 
 should_encode_type ctxt _ Fin_Nonmono_Types T = is_type_surely_finite ctxt T 
42682
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFFtypes)
blanchet
parents:
42680
diff
changeset

1039 
 should_encode_type _ _ _ _ = false 
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFFtypes)
blanchet
parents:
42680
diff
changeset

1040 

42837  1041 
fun should_predicate_on_type ctxt nonmono_Ts (Preds (_, level, heaviness)) 
42834
40f7691d0539
implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents:
42832
diff
changeset

1042 
should_predicate_on_var T = 
43128  1043 
(heaviness = Heavyweight orelse should_predicate_on_var ()) andalso 
42878
85ac4c12a4b7
slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents:
42855
diff
changeset

1044 
should_encode_type ctxt nonmono_Ts level T 
42834
40f7691d0539
implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents:
42832
diff
changeset

1045 
 should_predicate_on_type _ _ _ _ _ = false 
42682
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFFtypes)
blanchet
parents:
42680
diff
changeset

1046 

42836  1047 
fun is_var_or_bound_var (CombConst ((s, _), _, _)) = 
1048 
String.isPrefix bound_var_prefix s 

1049 
 is_var_or_bound_var (CombVar _) = true 

1050 
 is_var_or_bound_var _ = false 

1051 

43361
e37b54d429f5
revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents:
43324
diff
changeset

1052 
datatype tag_site = 
e37b54d429f5
revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents:
43324
diff
changeset

1053 
Top_Level of bool option  
e37b54d429f5
revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents:
43324
diff
changeset

1054 
Eq_Arg of bool option  
e37b54d429f5
revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents:
43324
diff
changeset

1055 
Elsewhere 
42829
1558741f8a72
started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents:
42828
diff
changeset

1056 

43361
e37b54d429f5
revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents:
43324
diff
changeset

1057 
fun should_tag_with_type _ _ _ (Top_Level _) _ _ = false 
e37b54d429f5
revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents:
43324
diff
changeset

1058 
 should_tag_with_type ctxt nonmono_Ts (Tags (poly, level, heaviness)) site 
e37b54d429f5
revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents:
43324
diff
changeset

1059 
u T = 
42837  1060 
(case heaviness of 
43128  1061 
Heavyweight => should_encode_type ctxt nonmono_Ts level T 
1062 
 Lightweight => 

42836  1063 
case (site, is_var_or_bound_var u) of 
43361
e37b54d429f5
revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents:
43324
diff
changeset

1064 
(Eq_Arg pos, true) => 
e37b54d429f5
revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents:
43324
diff
changeset

1065 
(* The first disjunct prevents a subtle soundness issue explained in 
e37b54d429f5
revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents:
43324
diff
changeset

1066 
Blanchette's Ph.D. thesis. See also 
e37b54d429f5
revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents:
43324
diff
changeset

1067 
"formula_lines_for_lightweight_tags_sym_decl". *) 
e37b54d429f5
revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents:
43324
diff
changeset

1068 
(pos <> SOME false andalso poly = Polymorphic andalso 
e37b54d429f5
revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents:
43324
diff
changeset

1069 
level <> All_Types andalso heaviness = Lightweight andalso 
e37b54d429f5
revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents:
43324
diff
changeset

1070 
exists (fn T' => type_instance ctxt (T', T)) nonmono_Ts) orelse 
e37b54d429f5
revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents:
43324
diff
changeset

1071 
should_encode_type ctxt nonmono_Ts level T 
42829
1558741f8a72
started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents:
42828
diff
changeset

1072 
 _ => false) 
1558741f8a72
started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents:
42828
diff
changeset

1073 
 should_tag_with_type _ _ _ _ _ _ = false 
42682
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFFtypes)
blanchet
parents:
42680
diff
changeset

1074 

42994
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

1075 
fun homogenized_type ctxt nonmono_Ts level = 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

1076 
let 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

1077 
val should_encode = should_encode_type ctxt nonmono_Ts level 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

1078 
fun homo 0 T = if should_encode T then T else homo_infinite_type 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

1079 
 homo ary (Type (@{type_name fun}, [T1, T2])) = 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

1080 
homo 0 T1 > homo (ary  1) T2 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

1081 
 homo _ _ = raise Fail "expected function type" 
fe291ab75eb5
towards supporting nonsimplytyped encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents:
42966
diff
changeset

1082 
in homo end 
42682
562046fd8e0c
added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFFtypes)
blanchet
parents:
42680
diff
changeset

1083 

42573
744215c3e90c
got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents:
42572
diff
changeset

1084 
(** "hBOOL" and "hAPP" **) 
41313
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

1085 

42574  1086 
type sym_info = 
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

1087 
{pred_sym : bool, min_ary : int, max_ary : int, types : typ list} 
42563  1088 

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

1089 
fun add_combterm_syms_to_table ctxt explicit_apply = 
42558
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset

1090 
let 
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

1091 
fun consider_var_arity const_T var_T max_ary = 
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

1092 
let 
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

1093 
fun iter ary T = 
43210
7384b771805d
made "explicit_apply"'s smart mode (more) complete
blanchet
parents:
43207
diff
changeset

1094 
if ary = max_ary orelse type_instance ctxt (var_T, T) orelse 
7384b771805d
made "explicit_apply"'s smart mode (more) complete
blanchet
parents:
43207
diff
changeset

1095 
type_instance ctxt (T, var_T) then 
7384b771805d
made "explicit_apply"'s smart mode (more) complete
blanchet
parents:
43207
diff
changeset

1096 
ary 
7384b771805d
made "explicit_apply"'s smart mode (more) complete
blanchet
parents:
43207
diff
changeset

1097 
else 
7384b771805d
made "explicit_apply"'s smart mode (more) complete
blanchet
parents:
43207
diff
changeset

1098 
iter (ary + 1) (range_type T) 
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

1099 
in iter 0 const_T end 
43201
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1100 
fun add_var_or_bound_var T (accum as ((bool_vars, fun_var_Ts), sym_tab)) = 
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1101 
if explicit_apply = NONE andalso 
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1102 
(can dest_funT T orelse T = @{typ bool}) then 
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1103 
let 
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1104 
val bool_vars' = bool_vars orelse body_type T = @{typ bool} 
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1105 
fun repair_min_arity {pred_sym, min_ary, max_ary, types} = 
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1106 
{pred_sym = pred_sym andalso not bool_vars', 
43213
e1fdd27e0c98
generate less type information in polymorphic case
blanchet
parents:
43210
diff
changeset

1107 
min_ary = fold (fn T' => consider_var_arity T' T) types min_ary, 
43201
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1108 
max_ary = max_ary, types = types} 
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1109 
val fun_var_Ts' = 
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1110 
fun_var_Ts > can dest_funT T ? insert_type ctxt I T 
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1111 
in 
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1112 
if bool_vars' = bool_vars andalso 
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1113 
pointer_eq (fun_var_Ts', fun_var_Ts) then 
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1114 
accum 
43167
839f599bc7ed
ensured that the logic for "explicit_apply = smart" also works on CNF (i.e. new Metis)
blanchet
parents:
43159
diff
changeset

1115 
else 
43213
e1fdd27e0c98
generate less type information in polymorphic case
blanchet
parents:
43210
diff
changeset

1116 
((bool_vars', fun_var_Ts'), Symtab.map (K repair_min_arity) sym_tab) 
43201
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1117 
end 
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1118 
else 
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1119 
accum 
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1120 
fun add top_level tm (accum as ((bool_vars, fun_var_Ts), sym_tab)) = 
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1121 
let val (head, args) = strip_combterm_comb tm in 
42558
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset

1122 
(case head of 
42563  1123 
CombConst ((s, _), T, _) => 
42558
3d9930cb6770
cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents:
42557
diff
changeset

1124 
if String.isPrefix bound_var_prefix s then 
43201
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1125 
add_var_or_bound_var T accum 
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

1126 
else 
43139
9ed5d8ad8fa0
fixed debilitating translation bug introduced in b6e61d22fa61  "equal" and "=" should always have arity 2
blanchet
parents:
43136
diff
changeset

1127 
let val ary = length args in 
43201
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1128 
((bool_vars, fun_var_Ts), 
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

1129 
case Symtab.lookup sym_tab s of 
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

1130 
SOME {pred_sym, min_ary, max_ary, types} => 
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

1131 
let 
43201
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1132 
val pred_sym = 
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1133 
pred_sym andalso top_level andalso not bool_vars 
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

1134 
val types' = types > insert_type ctxt I T 
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

1135 
val min_ary = 
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

1136 
if is_some explicit_apply orelse 
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

1137 
pointer_eq (types', types) then 
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

1138 
min_ary 
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

1139 
else 
43201
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1140 
fold (consider_var_arity T) fun_var_Ts min_ary 
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

1141 
in 
43201
0c9bf1a8e0d8
make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higherorder quantification, namely "bool"s
blanchet
parents:
43198
diff
changeset

1142 
Symtab.update (s, {pred_sym = pred_sym, 
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

1143 
min_ary = Int.min (ary, min_ary), 
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

1144 
max_ary = Int.max (ary, max_ary), 
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

1145 
types = types'}) 
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

1146 
sym_tab 
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

1147 
end 
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

1148 
 NONE => 
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

1149 