src/HOL/Tools/Predicate_Compile/predicate_compile_aux.ML
author wenzelm
Fri Mar 21 10:45:03 2014 +0100 (2014-03-21)
changeset 56239 17df7145a871
parent 55440 721b4561007a
child 56245 84fc7dfa3cd4
permissions -rw-r--r--
tuned signature;
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(*  Title:      HOL/Tools/Predicate_Compile/predicate_compile_aux.ML
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    Author:     Lukas Bulwahn, TU Muenchen
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Auxilary functions for predicate compiler.
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*)
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signature PREDICATE_COMPILE_AUX =
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sig
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  (* general functions *)
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  val apfst3 : ('a -> 'd) -> 'a * 'b * 'c -> 'd * 'b * 'c
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  val apsnd3 : ('b -> 'd) -> 'a * 'b * 'c -> 'a * 'd * 'c
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  val aptrd3 : ('c -> 'd) -> 'a * 'b * 'c -> 'a * 'b * 'd
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  val find_indices : ('a -> bool) -> 'a list -> int list
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  (* mode *)
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  datatype mode = Bool | Input | Output | Pair of mode * mode | Fun of mode * mode
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  val eq_mode : mode * mode -> bool
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  val mode_ord: mode * mode -> order
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  val list_fun_mode : mode list -> mode
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  val strip_fun_mode : mode -> mode list
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  val dest_fun_mode : mode -> mode list
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  val dest_tuple_mode : mode -> mode list
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  val all_modes_of_typ : typ -> mode list
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  val all_smodes_of_typ : typ -> mode list
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  val fold_map_aterms_prodT : ('a -> 'a -> 'a) -> (typ -> 'b -> 'a * 'b) -> typ -> 'b -> 'a * 'b
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  val map_filter_prod : (term -> term option) -> term -> term option
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  val replace_ho_args : mode -> term list -> term list -> term list
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  val ho_arg_modes_of : mode -> mode list
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  val ho_argsT_of : mode -> typ list -> typ list
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  val ho_args_of : mode -> term list -> term list
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  val ho_args_of_typ : typ -> term list -> term list
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  val ho_argsT_of_typ : typ list -> typ list
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  val split_map_mode : (mode -> term -> term option * term option)
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    -> mode -> term list -> term list * term list
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  val split_map_modeT : (mode -> typ -> typ option * typ option)
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    -> mode -> typ list -> typ list * typ list
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  val split_mode : mode -> term list -> term list * term list
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  val split_modeT : mode -> typ list -> typ list * typ list
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  val string_of_mode : mode -> string
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  val ascii_string_of_mode : mode -> string
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  (* premises *)
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  datatype indprem = Prem of term | Negprem of term | Sidecond of term
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    | Generator of (string * typ)
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  val dest_indprem : indprem -> term
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  val map_indprem : (term -> term) -> indprem -> indprem
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  (* general syntactic functions *)
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  val is_equationlike : thm -> bool
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  val is_pred_equation : thm -> bool
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  val is_intro : string -> thm -> bool
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  val is_predT : typ -> bool
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  val get_constrs : theory -> (string * (int * string)) list
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  val is_constrt : theory -> term -> bool
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  val is_constr : Proof.context -> string -> bool
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  val strip_ex : term -> (string * typ) list * term
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  val focus_ex : term -> Name.context -> ((string * typ) list * term) * Name.context
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  val strip_all : term -> (string * typ) list * term
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  val strip_intro_concl : thm -> term * term list
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  (* introduction rule combinators *)
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  val map_atoms : (term -> term) -> term -> term
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  val fold_atoms : (term -> 'a -> 'a) -> term -> 'a -> 'a
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  val fold_map_atoms : (term -> 'a -> term * 'a) -> term -> 'a -> term * 'a
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  val maps_premises : (term -> term list) -> term -> term
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  val map_concl : (term -> term) -> term -> term
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  val map_term : theory -> (term -> term) -> thm -> thm
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  (* split theorems of case expressions *)
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  val prepare_split_thm : Proof.context -> thm -> thm
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  val find_split_thm : theory -> term -> thm option
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  (* datastructures and setup for generic compilation *)
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  datatype compilation_funs = CompilationFuns of {
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    mk_monadT : typ -> typ,
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    dest_monadT : typ -> typ,
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    mk_empty : typ -> term,
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    mk_single : term -> term,
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    mk_bind : term * term -> term,
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    mk_plus : term * term -> term,
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    mk_if : term -> term,
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    mk_iterate_upto : typ -> term * term * term -> term,
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    mk_not : term -> term,
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    mk_map : typ -> typ -> term -> term -> term
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  };
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  val mk_monadT : compilation_funs -> typ -> typ
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  val dest_monadT : compilation_funs -> typ -> typ
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  val mk_empty : compilation_funs -> typ -> term
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  val mk_single : compilation_funs -> term -> term
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  val mk_bind : compilation_funs -> term * term -> term
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  val mk_plus : compilation_funs -> term * term -> term
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  val mk_if : compilation_funs -> term -> term
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  val mk_iterate_upto : compilation_funs -> typ -> term * term * term -> term
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  val mk_not : compilation_funs -> term -> term
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  val mk_map : compilation_funs -> typ -> typ -> term -> term -> term
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  val funT_of : compilation_funs -> mode -> typ -> typ
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  (* Different compilations *)
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  datatype compilation = Pred | Depth_Limited | Random | Depth_Limited_Random | DSeq | Annotated
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    | Pos_Random_DSeq | Neg_Random_DSeq | New_Pos_Random_DSeq | New_Neg_Random_DSeq
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    | Pos_Generator_DSeq | Neg_Generator_DSeq | Pos_Generator_CPS | Neg_Generator_CPS
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  val negative_compilation_of : compilation -> compilation
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  val compilation_for_polarity : bool -> compilation -> compilation
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  val is_depth_limited_compilation : compilation -> bool
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  val string_of_compilation : compilation -> string
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  val compilation_names : (string * compilation) list
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  val non_random_compilations : compilation list
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  val random_compilations : compilation list
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  (* Different options for compiler *)
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  datatype options = Options of {
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    expected_modes : (string * mode list) option,
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    proposed_modes : (string * mode list) list,
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    proposed_names : ((string * mode) * string) list,
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    show_steps : bool,
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    show_proof_trace : bool,
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    show_intermediate_results : bool,
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    show_mode_inference : bool,
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    show_modes : bool,
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    show_compilation : bool,
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    show_caught_failures : bool,
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    show_invalid_clauses : bool,
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    skip_proof : bool,
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    no_topmost_reordering : bool,
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    function_flattening : bool,
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    fail_safe_function_flattening : bool,
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    specialise : bool,
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    no_higher_order_predicate : string list,
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    inductify : bool,
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    detect_switches : bool,
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    smart_depth_limiting : bool,
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    compilation : compilation
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  };
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  val expected_modes : options -> (string * mode list) option
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  val proposed_modes : options -> string -> mode list option
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  val proposed_names : options -> string -> mode -> string option
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  val show_steps : options -> bool
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  val show_proof_trace : options -> bool
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  val show_intermediate_results : options -> bool
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  val show_mode_inference : options -> bool
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  val show_modes : options -> bool
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  val show_compilation : options -> bool
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  val show_caught_failures : options -> bool
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  val show_invalid_clauses : options -> bool
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  val skip_proof : options -> bool
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  val no_topmost_reordering : options -> bool
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  val function_flattening : options -> bool
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  val fail_safe_function_flattening : options -> bool
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  val specialise : options -> bool
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  val no_higher_order_predicate : options -> string list
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  val is_inductify : options -> bool
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  val detect_switches : options -> bool
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  val smart_depth_limiting : options -> bool
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  val compilation : options -> compilation
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  val default_options : options
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  val bool_options : string list
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  val print_step : options -> string -> unit
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  (* conversions *)
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  val imp_prems_conv : conv -> conv
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  (* simple transformations *)
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  val split_conjuncts_in_assms : Proof.context -> thm -> thm
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  val dest_conjunct_prem : thm -> thm list
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  val expand_tuples : theory -> thm -> thm
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  val case_betapply : theory -> term -> term
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  val eta_contract_ho_arguments : theory -> thm -> thm
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  val remove_equalities : theory -> thm -> thm
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  val remove_pointless_clauses : thm -> thm list
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  val peephole_optimisation : theory -> thm -> thm option
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  (* auxillary *)
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  val unify_consts : theory -> term list -> term list -> (term list * term list)
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  val mk_casesrule : Proof.context -> term -> thm list -> term
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  val preprocess_intro : theory -> thm -> thm
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  val define_quickcheck_predicate :
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    term -> theory -> (((string * typ) * (string * typ) list) * thm) * theory
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end
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structure Predicate_Compile_Aux : PREDICATE_COMPILE_AUX =
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struct
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(* general functions *)
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fun apfst3 f (x, y, z) = (f x, y, z)
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fun apsnd3 f (x, y, z) = (x, f y, z)
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fun aptrd3 f (x, y, z) = (x, y, f z)
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fun comb_option f (SOME x1, SOME x2) = SOME (f (x1, x2))
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  | comb_option f (NONE, SOME x2) = SOME x2
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  | comb_option f (SOME x1, NONE) = SOME x1
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  | comb_option f (NONE, NONE) = NONE
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fun map2_optional f (x :: xs) (y :: ys) = f x (SOME y) :: (map2_optional f xs ys)
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  | map2_optional f (x :: xs) [] = (f x NONE) :: (map2_optional f xs [])
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  | map2_optional f [] [] = []
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fun find_indices f xs =
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  map_filter (fn (i, true) => SOME i | (_, false) => NONE) (map_index (apsnd f) xs)
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(* mode *)
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datatype mode = Bool | Input | Output | Pair of mode * mode | Fun of mode * mode
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(* equality of instantiatedness with respect to equivalences:
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  Pair Input Input == Input and Pair Output Output == Output *)
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fun eq_mode (Fun (m1, m2), Fun (m3, m4)) = eq_mode (m1, m3) andalso eq_mode (m2, m4)
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  | eq_mode (Pair (m1, m2), Pair (m3, m4)) = eq_mode (m1, m3) andalso eq_mode (m2, m4)
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  | eq_mode (Pair (m1, m2), Input) = eq_mode (m1, Input) andalso eq_mode (m2, Input)
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  | eq_mode (Pair (m1, m2), Output) = eq_mode (m1, Output) andalso eq_mode (m2, Output)
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  | eq_mode (Input, Pair (m1, m2)) = eq_mode (Input, m1) andalso eq_mode (Input, m2)
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  | eq_mode (Output, Pair (m1, m2)) = eq_mode (Output, m1) andalso eq_mode (Output, m2)
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  | eq_mode (Input, Input) = true
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  | eq_mode (Output, Output) = true
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  | eq_mode (Bool, Bool) = true
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  | eq_mode _ = false
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fun mode_ord (Input, Output) = LESS
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  | mode_ord (Output, Input) = GREATER
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  | mode_ord (Input, Input) = EQUAL
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  | mode_ord (Output, Output) = EQUAL
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  | mode_ord (Bool, Bool) = EQUAL
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  | mode_ord (Pair (m1, m2), Pair (m3, m4)) = prod_ord mode_ord mode_ord ((m1, m2), (m3, m4))
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  | mode_ord (Fun (m1, m2), Fun (m3, m4)) = prod_ord mode_ord mode_ord ((m1, m2), (m3, m4))
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fun list_fun_mode [] = Bool
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  | list_fun_mode (m :: ms) = Fun (m, list_fun_mode ms)
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(* name: binder_modes? *)
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fun strip_fun_mode (Fun (mode, mode')) = mode :: strip_fun_mode mode'
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  | strip_fun_mode Bool = []
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  | strip_fun_mode _ = raise Fail "Bad mode for strip_fun_mode"
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(* name: strip_fun_mode? *)
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fun dest_fun_mode (Fun (mode, mode')) = mode :: dest_fun_mode mode'
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  | dest_fun_mode mode = [mode]
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fun dest_tuple_mode (Pair (mode, mode')) = mode :: dest_tuple_mode mode'
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  | dest_tuple_mode _ = []
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fun all_modes_of_typ' (T as Type ("fun", _)) =
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  let
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    val (S, U) = strip_type T
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  in
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    if U = HOLogic.boolT then
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      fold_rev (fn m1 => fn m2 => map_product (curry Fun) m1 m2)
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        (map all_modes_of_typ' S) [Bool]
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    else
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      [Input, Output]
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  end
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  | all_modes_of_typ' (Type (@{type_name Product_Type.prod}, [T1, T2])) =
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    map_product (curry Pair) (all_modes_of_typ' T1) (all_modes_of_typ' T2)
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  | all_modes_of_typ' _ = [Input, Output]
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fun all_modes_of_typ (T as Type ("fun", _)) =
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    let
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      val (S, U) = strip_type T
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    in
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      if U = @{typ bool} then
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        fold_rev (fn m1 => fn m2 => map_product (curry Fun) m1 m2)
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          (map all_modes_of_typ' S) [Bool]
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      else
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        raise Fail "Invocation of all_modes_of_typ with a non-predicate type"
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    end
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  | all_modes_of_typ @{typ bool} = [Bool]
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  | all_modes_of_typ _ =
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    raise Fail "Invocation of all_modes_of_typ with a non-predicate type"
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fun all_smodes_of_typ (T as Type ("fun", _)) =
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  let
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    val (S, U) = strip_type T
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    fun all_smodes (Type (@{type_name Product_Type.prod}, [T1, T2])) =
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      map_product (curry Pair) (all_smodes T1) (all_smodes T2)
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      | all_smodes _ = [Input, Output]
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  in
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    if U = HOLogic.boolT then
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      fold_rev (fn m1 => fn m2 => map_product (curry Fun) m1 m2) (map all_smodes S) [Bool]
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    else
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      raise Fail "invalid type for predicate"
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  end
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fun ho_arg_modes_of mode =
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  let
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    fun ho_arg_mode (m as Fun _) =  [m]
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      | ho_arg_mode (Pair (m1, m2)) = ho_arg_mode m1 @ ho_arg_mode m2
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      | ho_arg_mode _ = []
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  in
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    maps ho_arg_mode (strip_fun_mode mode)
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  end
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fun ho_args_of mode ts =
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  let
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    fun ho_arg (Fun _) (SOME t) = [t]
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      | ho_arg (Fun _) NONE = raise Fail "mode and term do not match"
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      | ho_arg (Pair (m1, m2)) (SOME (Const (@{const_name Pair}, _) $ t1 $ t2)) =
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          ho_arg m1 (SOME t1) @ ho_arg m2 (SOME t2)
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      | ho_arg (Pair (m1, m2)) NONE = ho_arg m1 NONE @ ho_arg m2 NONE
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      | ho_arg _ _ = []
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  in
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    flat (map2_optional ho_arg (strip_fun_mode mode) ts)
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  end
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fun ho_args_of_typ T ts =
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  let
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    fun ho_arg (T as Type ("fun", [_, _])) (SOME t) =
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          if body_type T = @{typ bool} then [t] else []
wenzelm@55437
   297
      | ho_arg (Type ("fun", [_, _])) NONE = raise Fail "mode and term do not match"
bulwahn@39299
   298
      | ho_arg (Type(@{type_name "Product_Type.prod"}, [T1, T2]))
bulwahn@39299
   299
         (SOME (Const (@{const_name Pair}, _) $ t1 $ t2)) =
bulwahn@39299
   300
          ho_arg T1 (SOME t1) @ ho_arg T2 (SOME t2)
bulwahn@39299
   301
      | ho_arg (Type(@{type_name "Product_Type.prod"}, [T1, T2])) NONE =
bulwahn@39299
   302
          ho_arg T1 NONE @ ho_arg T2 NONE
bulwahn@39299
   303
      | ho_arg _ _ = []
bulwahn@39299
   304
  in
bulwahn@39299
   305
    flat (map2_optional ho_arg (binder_types T) ts)
bulwahn@39299
   306
  end
bulwahn@39299
   307
bulwahn@39299
   308
fun ho_argsT_of_typ Ts =
bulwahn@39299
   309
  let
bulwahn@39312
   310
    fun ho_arg (T as Type("fun", [_,_])) = if body_type T = @{typ bool} then [T] else []
wenzelm@55437
   311
      | ho_arg (Type (@{type_name "Product_Type.prod"}, [T1, T2])) =
bulwahn@39299
   312
          ho_arg T1 @ ho_arg T2
bulwahn@39299
   313
      | ho_arg _ = []
bulwahn@39299
   314
  in
bulwahn@39299
   315
    maps ho_arg Ts
bulwahn@39299
   316
  end
wenzelm@55437
   317
bulwahn@39299
   318
bulwahn@34948
   319
(* temporary function should be replaced by unsplit_input or so? *)
bulwahn@34948
   320
fun replace_ho_args mode hoargs ts =
bulwahn@34948
   321
  let
bulwahn@34948
   322
    fun replace (Fun _, _) (arg' :: hoargs') = (arg', hoargs')
haftmann@37391
   323
      | replace (Pair (m1, m2), Const (@{const_name Pair}, T) $ t1 $ t2) hoargs =
wenzelm@55437
   324
          let
wenzelm@55437
   325
            val (t1', hoargs') = replace (m1, t1) hoargs
wenzelm@55437
   326
            val (t2', hoargs'') = replace (m2, t2) hoargs'
wenzelm@55437
   327
          in
wenzelm@55437
   328
            (Const (@{const_name Pair}, T) $ t1' $ t2', hoargs'')
wenzelm@55437
   329
          end
bulwahn@34948
   330
      | replace (_, t) hoargs = (t, hoargs)
bulwahn@34948
   331
  in
bulwahn@35885
   332
    fst (fold_map replace (strip_fun_mode mode ~~ ts) hoargs)
bulwahn@34948
   333
  end
bulwahn@34948
   334
bulwahn@34948
   335
fun ho_argsT_of mode Ts =
bulwahn@34948
   336
  let
bulwahn@34948
   337
    fun ho_arg (Fun _) T = [T]
wenzelm@55437
   338
      | ho_arg (Pair (m1, m2)) (Type (@{type_name Product_Type.prod}, [T1, T2])) =
wenzelm@55437
   339
          ho_arg m1 T1 @ ho_arg m2 T2
bulwahn@34948
   340
      | ho_arg _ _ = []
bulwahn@34948
   341
  in
bulwahn@34948
   342
    flat (map2 ho_arg (strip_fun_mode mode) Ts)
bulwahn@34948
   343
  end
bulwahn@34948
   344
bulwahn@34948
   345
(* splits mode and maps function to higher-order argument types *)
bulwahn@34948
   346
fun split_map_mode f mode ts =
bulwahn@34948
   347
  let
bulwahn@34948
   348
    fun split_arg_mode' (m as Fun _) t = f m t
haftmann@37391
   349
      | split_arg_mode' (Pair (m1, m2)) (Const (@{const_name Pair}, _) $ t1 $ t2) =
bulwahn@34948
   350
        let
bulwahn@34948
   351
          val (i1, o1) = split_arg_mode' m1 t1
bulwahn@34948
   352
          val (i2, o2) = split_arg_mode' m2 t2
bulwahn@34948
   353
        in
bulwahn@34948
   354
          (comb_option HOLogic.mk_prod (i1, i2), comb_option HOLogic.mk_prod (o1, o2))
bulwahn@34948
   355
        end
bulwahn@35324
   356
      | split_arg_mode' m t =
bulwahn@35324
   357
        if eq_mode (m, Input) then (SOME t, NONE)
bulwahn@35324
   358
        else if eq_mode (m, Output) then (NONE,  SOME t)
bulwahn@35885
   359
        else raise Fail "split_map_mode: mode and term do not match"
bulwahn@34948
   360
  in
bulwahn@34948
   361
    (pairself (map_filter I) o split_list) (map2 split_arg_mode' (strip_fun_mode mode) ts)
bulwahn@34948
   362
  end
bulwahn@34948
   363
bulwahn@34948
   364
(* splits mode and maps function to higher-order argument types *)
bulwahn@34948
   365
fun split_map_modeT f mode Ts =
bulwahn@34948
   366
  let
bulwahn@34948
   367
    fun split_arg_mode' (m as Fun _) T = f m T
haftmann@37678
   368
      | split_arg_mode' (Pair (m1, m2)) (Type (@{type_name Product_Type.prod}, [T1, T2])) =
bulwahn@34948
   369
        let
bulwahn@34948
   370
          val (i1, o1) = split_arg_mode' m1 T1
bulwahn@34948
   371
          val (i2, o2) = split_arg_mode' m2 T2
bulwahn@34948
   372
        in
bulwahn@34948
   373
          (comb_option HOLogic.mk_prodT (i1, i2), comb_option HOLogic.mk_prodT (o1, o2))
bulwahn@34948
   374
        end
bulwahn@34948
   375
      | split_arg_mode' Input T = (SOME T, NONE)
bulwahn@34948
   376
      | split_arg_mode' Output T = (NONE,  SOME T)
bulwahn@35885
   377
      | split_arg_mode' _ _ = raise Fail "split_modeT': mode and type do not match"
bulwahn@34948
   378
  in
bulwahn@34948
   379
    (pairself (map_filter I) o split_list) (map2 split_arg_mode' (strip_fun_mode mode) Ts)
bulwahn@34948
   380
  end
bulwahn@34948
   381
bulwahn@34948
   382
fun split_mode mode ts = split_map_mode (fn _ => fn _ => (NONE, NONE)) mode ts
bulwahn@34948
   383
haftmann@37678
   384
fun fold_map_aterms_prodT comb f (Type (@{type_name Product_Type.prod}, [T1, T2])) s =
wenzelm@55437
   385
      let
wenzelm@55437
   386
        val (x1, s') = fold_map_aterms_prodT comb f T1 s
wenzelm@55437
   387
        val (x2, s'') = fold_map_aterms_prodT comb f T2 s'
wenzelm@55437
   388
      in
wenzelm@55437
   389
        (comb x1 x2, s'')
wenzelm@55437
   390
      end
wenzelm@55437
   391
  | fold_map_aterms_prodT _ f T s = f T s
bulwahn@34948
   392
haftmann@37391
   393
fun map_filter_prod f (Const (@{const_name Pair}, _) $ t1 $ t2) =
wenzelm@55437
   394
      comb_option HOLogic.mk_prod (map_filter_prod f t1, map_filter_prod f t2)
bulwahn@34948
   395
  | map_filter_prod f t = f t
wenzelm@55437
   396
bulwahn@40139
   397
fun split_modeT mode Ts =
bulwahn@34948
   398
  let
haftmann@46662
   399
    fun split_arg_mode (Fun _) _ = ([], [])
bulwahn@40139
   400
      | split_arg_mode (Pair (m1, m2)) (Type (@{type_name Product_Type.prod}, [T1, T2])) =
wenzelm@55437
   401
          let
wenzelm@55437
   402
            val (i1, o1) = split_arg_mode m1 T1
wenzelm@55437
   403
            val (i2, o2) = split_arg_mode m2 T2
wenzelm@55437
   404
          in
wenzelm@55437
   405
            (i1 @ i2, o1 @ o2)
wenzelm@55437
   406
          end
bulwahn@40139
   407
      | split_arg_mode Input T = ([T], [])
bulwahn@40139
   408
      | split_arg_mode Output T = ([], [T])
bulwahn@40139
   409
      | split_arg_mode _ _ = raise Fail "split_modeT: mode and type do not match"
bulwahn@34948
   410
  in
bulwahn@40139
   411
    (pairself flat o split_list) (map2 split_arg_mode (strip_fun_mode mode) Ts)
bulwahn@34948
   412
  end
bulwahn@34948
   413
bulwahn@34948
   414
fun string_of_mode mode =
bulwahn@33619
   415
  let
bulwahn@33619
   416
    fun string_of_mode1 Input = "i"
bulwahn@33619
   417
      | string_of_mode1 Output = "o"
bulwahn@33619
   418
      | string_of_mode1 Bool = "bool"
bulwahn@33619
   419
      | string_of_mode1 mode = "(" ^ (string_of_mode3 mode) ^ ")"
bulwahn@33626
   420
    and string_of_mode2 (Pair (m1, m2)) = string_of_mode3 m1 ^ " * " ^  string_of_mode2 m2
bulwahn@33619
   421
      | string_of_mode2 mode = string_of_mode1 mode
bulwahn@33619
   422
    and string_of_mode3 (Fun (m1, m2)) = string_of_mode2 m1 ^ " => " ^ string_of_mode3 m2
bulwahn@33619
   423
      | string_of_mode3 mode = string_of_mode2 mode
bulwahn@34948
   424
  in string_of_mode3 mode end
bulwahn@33619
   425
bulwahn@34948
   426
fun ascii_string_of_mode mode' =
bulwahn@33626
   427
  let
bulwahn@33626
   428
    fun ascii_string_of_mode' Input = "i"
bulwahn@33626
   429
      | ascii_string_of_mode' Output = "o"
bulwahn@33626
   430
      | ascii_string_of_mode' Bool = "b"
bulwahn@33626
   431
      | ascii_string_of_mode' (Pair (m1, m2)) =
bulwahn@33626
   432
          "P" ^ ascii_string_of_mode' m1 ^ ascii_string_of_mode'_Pair m2
wenzelm@55437
   433
      | ascii_string_of_mode' (Fun (m1, m2)) =
bulwahn@33626
   434
          "F" ^ ascii_string_of_mode' m1 ^ ascii_string_of_mode'_Fun m2 ^ "B"
bulwahn@33626
   435
    and ascii_string_of_mode'_Fun (Fun (m1, m2)) =
bulwahn@33626
   436
          ascii_string_of_mode' m1 ^ (if m2 = Bool then "" else "_" ^ ascii_string_of_mode'_Fun m2)
bulwahn@33626
   437
      | ascii_string_of_mode'_Fun Bool = "B"
bulwahn@33626
   438
      | ascii_string_of_mode'_Fun m = ascii_string_of_mode' m
bulwahn@33626
   439
    and ascii_string_of_mode'_Pair (Pair (m1, m2)) =
bulwahn@33626
   440
          ascii_string_of_mode' m1 ^ ascii_string_of_mode'_Pair m2
bulwahn@33626
   441
      | ascii_string_of_mode'_Pair m = ascii_string_of_mode' m
bulwahn@33626
   442
  in ascii_string_of_mode'_Fun mode' end
bulwahn@33626
   443
wenzelm@55437
   444
bulwahn@34948
   445
(* premises *)
bulwahn@33619
   446
wenzelm@55437
   447
datatype indprem =
wenzelm@55437
   448
  Prem of term | Negprem of term | Sidecond of term | Generator of (string * typ)
bulwahn@33619
   449
bulwahn@36251
   450
fun dest_indprem (Prem t) = t
bulwahn@36251
   451
  | dest_indprem (Negprem t) = t
bulwahn@36251
   452
  | dest_indprem (Sidecond t) = t
bulwahn@36251
   453
  | dest_indprem (Generator _) = raise Fail "cannot destruct generator"
bulwahn@36251
   454
bulwahn@36254
   455
fun map_indprem f (Prem t) = Prem (f t)
bulwahn@36254
   456
  | map_indprem f (Negprem t) = Negprem (f t)
bulwahn@36254
   457
  | map_indprem f (Sidecond t) = Sidecond (f t)
bulwahn@36254
   458
  | map_indprem f (Generator (v, T)) = Generator (dest_Free (f (Free (v, T))))
bulwahn@36254
   459
wenzelm@55437
   460
bulwahn@33250
   461
(* general syntactic functions *)
bulwahn@33250
   462
bulwahn@33250
   463
fun is_equationlike_term (Const ("==", _) $ _ $ _) = true
wenzelm@55437
   464
  | is_equationlike_term
wenzelm@55437
   465
      (Const (@{const_name Trueprop}, _) $ (Const (@{const_name HOL.eq}, _) $ _ $ _)) = true
bulwahn@33250
   466
  | is_equationlike_term _ = false
wenzelm@55437
   467
wenzelm@55437
   468
val is_equationlike = is_equationlike_term o prop_of
bulwahn@33250
   469
bulwahn@33250
   470
fun is_pred_equation_term (Const ("==", _) $ u $ v) =
wenzelm@55437
   471
      (fastype_of u = @{typ bool}) andalso (fastype_of v = @{typ bool})
bulwahn@33250
   472
  | is_pred_equation_term _ = false
wenzelm@55437
   473
wenzelm@55437
   474
val is_pred_equation = is_pred_equation_term o prop_of
bulwahn@33250
   475
bulwahn@33250
   476
fun is_intro_term constname t =
wenzelm@55437
   477
  the_default false (try (fn t =>
wenzelm@55437
   478
    case fst (strip_comb (HOLogic.dest_Trueprop (Logic.strip_imp_concl t))) of
wenzelm@55437
   479
      Const (c, _) => c = constname
wenzelm@55437
   480
    | _ => false) t)
wenzelm@55437
   481
bulwahn@33250
   482
fun is_intro constname t = is_intro_term constname (prop_of t)
bulwahn@33250
   483
wenzelm@40844
   484
fun is_predT (T as Type("fun", [_, _])) = (body_type T = @{typ bool})
bulwahn@33250
   485
  | is_predT _ = false
bulwahn@33250
   486
blanchet@55399
   487
fun get_constrs thy =
blanchet@55399
   488
  let
blanchet@55399
   489
    val ctxt = Proof_Context.init_global thy
blanchet@55399
   490
  in
blanchet@55399
   491
    Ctr_Sugar.ctr_sugars_of ctxt
blanchet@55399
   492
    |> maps (map_filter (try dest_Const) o #ctrs)
blanchet@55399
   493
    |> map (apsnd (fn T => (BNF_Util.num_binder_types T, fst (dest_Type (body_type T)))))
blanchet@55399
   494
  end
blanchet@55399
   495
bulwahn@33250
   496
(*** check if a term contains only constructor functions ***)
bulwahn@34948
   497
(* TODO: another copy in the core! *)
bulwahn@33623
   498
(* FIXME: constructor terms are supposed to be seen in the way the code generator
bulwahn@33623
   499
  sees constructors.*)
bulwahn@33250
   500
fun is_constrt thy =
bulwahn@33250
   501
  let
blanchet@55399
   502
    val cnstrs = get_constrs thy
wenzelm@55437
   503
    fun check t =
wenzelm@55437
   504
      (case strip_comb t of
bulwahn@36032
   505
        (Var _, []) => true
bulwahn@36032
   506
      | (Free _, []) => true
wenzelm@55437
   507
      | (Const (s, T), ts) =>
wenzelm@55437
   508
          (case (AList.lookup (op =) cnstrs s, body_type T) of
wenzelm@55437
   509
            (SOME (i, Tname), Type (Tname', _)) =>
wenzelm@55437
   510
              length ts = i andalso Tname = Tname' andalso forall check ts
bulwahn@33250
   511
          | _ => false)
bulwahn@33250
   512
      | _ => false)
wenzelm@55437
   513
  in check end
bulwahn@34948
   514
wenzelm@55437
   515
val is_constr = Code.is_constr o Proof_Context.theory_of
bulwahn@34948
   516
bulwahn@36047
   517
fun strip_all t = (Term.strip_all_vars t, Term.strip_all_body t)
bulwahn@36047
   518
haftmann@38558
   519
fun strip_ex (Const (@{const_name Ex}, _) $ Abs (x, T, t)) =
wenzelm@55437
   520
      let
wenzelm@55437
   521
        val (xTs, t') = strip_ex t
wenzelm@55437
   522
      in
wenzelm@55437
   523
        ((x, T) :: xTs, t')
wenzelm@55437
   524
      end
bulwahn@33250
   525
  | strip_ex t = ([], t)
bulwahn@33250
   526
bulwahn@33250
   527
fun focus_ex t nctxt =
bulwahn@33250
   528
  let
wenzelm@55437
   529
    val ((xs, Ts), t') = apfst split_list (strip_ex t)
wenzelm@43326
   530
    val (xs', nctxt') = fold_map Name.variant xs nctxt;
bulwahn@33250
   531
    val ps' = xs' ~~ Ts;
bulwahn@33250
   532
    val vs = map Free ps';
bulwahn@33250
   533
    val t'' = Term.subst_bounds (rev vs, t');
wenzelm@55437
   534
  in ((ps', t''), nctxt') end
bulwahn@33250
   535
wenzelm@55437
   536
val strip_intro_concl = strip_comb o HOLogic.dest_Trueprop o Logic.strip_imp_concl o prop_of
wenzelm@55437
   537
wenzelm@55437
   538
bulwahn@33250
   539
(* introduction rule combinators *)
bulwahn@33250
   540
wenzelm@55437
   541
fun map_atoms f intro =
bulwahn@33250
   542
  let
bulwahn@33250
   543
    val (literals, head) = Logic.strip_horn intro
wenzelm@55437
   544
    fun appl t =
wenzelm@55437
   545
      (case t of
bulwahn@35885
   546
        (@{term Not} $ t') => HOLogic.mk_not (f t')
bulwahn@33250
   547
      | _ => f t)
bulwahn@33250
   548
  in
bulwahn@33250
   549
    Logic.list_implies
bulwahn@33250
   550
      (map (HOLogic.mk_Trueprop o appl o HOLogic.dest_Trueprop) literals, head)
bulwahn@33250
   551
  end
bulwahn@33250
   552
bulwahn@33250
   553
fun fold_atoms f intro s =
bulwahn@33250
   554
  let
haftmann@46662
   555
    val (literals, _) = Logic.strip_horn intro
wenzelm@55437
   556
    fun appl t s =
wenzelm@55437
   557
      (case t of
wenzelm@55437
   558
        (@{term Not} $ t') => f t' s
bulwahn@33250
   559
      | _ => f t s)
bulwahn@33250
   560
  in fold appl (map HOLogic.dest_Trueprop literals) s end
bulwahn@33250
   561
bulwahn@33250
   562
fun fold_map_atoms f intro s =
bulwahn@33250
   563
  let
bulwahn@33250
   564
    val (literals, head) = Logic.strip_horn intro
wenzelm@55437
   565
    fun appl t s =
wenzelm@55437
   566
      (case t of
wenzelm@55437
   567
        (@{term Not} $ t') => apfst HOLogic.mk_not (f t' s)
bulwahn@33250
   568
      | _ => f t s)
bulwahn@33250
   569
    val (literals', s') = fold_map appl (map HOLogic.dest_Trueprop literals) s
bulwahn@33250
   570
  in
bulwahn@33250
   571
    (Logic.list_implies (map HOLogic.mk_Trueprop literals', head), s')
bulwahn@33250
   572
  end;
bulwahn@33250
   573
bulwahn@36246
   574
fun map_filter_premises f intro =
bulwahn@36246
   575
  let
bulwahn@36246
   576
    val (premises, head) = Logic.strip_horn intro
bulwahn@36246
   577
  in
bulwahn@36246
   578
    Logic.list_implies (map_filter f premises, head)
bulwahn@36246
   579
  end
bulwahn@36246
   580
bulwahn@33250
   581
fun maps_premises f intro =
bulwahn@33250
   582
  let
bulwahn@33250
   583
    val (premises, head) = Logic.strip_horn intro
bulwahn@33250
   584
  in
bulwahn@33250
   585
    Logic.list_implies (maps f premises, head)
bulwahn@33250
   586
  end
bulwahn@35324
   587
bulwahn@35875
   588
fun map_concl f intro =
bulwahn@35875
   589
  let
bulwahn@35875
   590
    val (premises, head) = Logic.strip_horn intro
bulwahn@35875
   591
  in
bulwahn@35875
   592
    Logic.list_implies (premises, f head)
bulwahn@35875
   593
  end
bulwahn@35875
   594
wenzelm@55437
   595
bulwahn@35875
   596
(* combinators to apply a function to all basic parts of nested products *)
bulwahn@35875
   597
haftmann@37391
   598
fun map_products f (Const (@{const_name Pair}, T) $ t1 $ t2) =
haftmann@37391
   599
  Const (@{const_name Pair}, T) $ map_products f t1 $ map_products f t2
bulwahn@35875
   600
  | map_products f t = f t
bulwahn@35324
   601
wenzelm@55437
   602
bulwahn@35324
   603
(* split theorems of case expressions *)
bulwahn@35324
   604
bulwahn@35324
   605
fun prepare_split_thm ctxt split_thm =
bulwahn@35324
   606
    (split_thm RS @{thm iffD2})
wenzelm@35624
   607
    |> Local_Defs.unfold ctxt [@{thm atomize_conjL[symmetric]},
bulwahn@35324
   608
      @{thm atomize_all[symmetric]}, @{thm atomize_imp[symmetric]}]
bulwahn@35324
   609
blanchet@55399
   610
fun find_split_thm thy (Const (name, _)) =
blanchet@55399
   611
    Option.map #split (Ctr_Sugar.ctr_sugar_of_case (Proof_Context.init_global thy) name)
wenzelm@55437
   612
  | find_split_thm _ _ = NONE
wenzelm@55437
   613
bulwahn@35324
   614
bulwahn@33250
   615
(* lifting term operations to theorems *)
bulwahn@33250
   616
bulwahn@33250
   617
fun map_term thy f th =
bulwahn@33250
   618
  Skip_Proof.make_thm thy (f (prop_of th))
bulwahn@33250
   619
bulwahn@33250
   620
(*
bulwahn@33250
   621
fun equals_conv lhs_cv rhs_cv ct =
bulwahn@33250
   622
  case Thm.term_of ct of
wenzelm@55437
   623
    Const ("==", _) $ _ $ _ => Conv.arg_conv cv ct
wenzelm@55437
   624
  | _ => error "equals_conv"
bulwahn@33250
   625
*)
bulwahn@33250
   626
wenzelm@55437
   627
bulwahn@36038
   628
(* Different compilations *)
bulwahn@33250
   629
bulwahn@35881
   630
datatype compilation = Pred | Depth_Limited | Random | Depth_Limited_Random | DSeq | Annotated
bulwahn@40051
   631
  | Pos_Random_DSeq | Neg_Random_DSeq | New_Pos_Random_DSeq | New_Neg_Random_DSeq |
bulwahn@45450
   632
    Pos_Generator_DSeq | Neg_Generator_DSeq | Pos_Generator_CPS | Neg_Generator_CPS
bulwahn@35324
   633
bulwahn@35324
   634
fun negative_compilation_of Pos_Random_DSeq = Neg_Random_DSeq
bulwahn@35324
   635
  | negative_compilation_of Neg_Random_DSeq = Pos_Random_DSeq
bulwahn@36018
   636
  | negative_compilation_of New_Pos_Random_DSeq = New_Neg_Random_DSeq
bulwahn@36018
   637
  | negative_compilation_of New_Neg_Random_DSeq = New_Pos_Random_DSeq
bulwahn@40051
   638
  | negative_compilation_of Pos_Generator_DSeq = Neg_Generator_DSeq
bulwahn@45450
   639
  | negative_compilation_of Neg_Generator_DSeq = Pos_Generator_DSeq
bulwahn@45450
   640
  | negative_compilation_of Pos_Generator_CPS = Neg_Generator_CPS
wenzelm@55437
   641
  | negative_compilation_of Neg_Generator_CPS = Pos_Generator_CPS
bulwahn@35324
   642
  | negative_compilation_of c = c
wenzelm@55437
   643
bulwahn@35324
   644
fun compilation_for_polarity false Pos_Random_DSeq = Neg_Random_DSeq
bulwahn@36018
   645
  | compilation_for_polarity false New_Pos_Random_DSeq = New_Neg_Random_DSeq
bulwahn@35324
   646
  | compilation_for_polarity _ c = c
bulwahn@34948
   647
bulwahn@40049
   648
fun is_depth_limited_compilation c =
bulwahn@40051
   649
  (c = New_Pos_Random_DSeq) orelse (c = New_Neg_Random_DSeq) orelse
bulwahn@40051
   650
  (c = Pos_Generator_DSeq) orelse (c = Pos_Generator_DSeq)
bulwahn@40049
   651
bulwahn@35885
   652
fun string_of_compilation c =
wenzelm@55437
   653
  (case c of
bulwahn@34948
   654
    Pred => ""
bulwahn@34948
   655
  | Random => "random"
bulwahn@34948
   656
  | Depth_Limited => "depth limited"
bulwahn@35881
   657
  | Depth_Limited_Random => "depth limited random"
bulwahn@34948
   658
  | DSeq => "dseq"
bulwahn@34948
   659
  | Annotated => "annotated"
bulwahn@35324
   660
  | Pos_Random_DSeq => "pos_random dseq"
bulwahn@35324
   661
  | Neg_Random_DSeq => "neg_random_dseq"
bulwahn@36018
   662
  | New_Pos_Random_DSeq => "new_pos_random dseq"
bulwahn@36018
   663
  | New_Neg_Random_DSeq => "new_neg_random_dseq"
bulwahn@40051
   664
  | Pos_Generator_DSeq => "pos_generator_dseq"
bulwahn@40051
   665
  | Neg_Generator_DSeq => "neg_generator_dseq"
bulwahn@45450
   666
  | Pos_Generator_CPS => "pos_generator_cps"
wenzelm@55437
   667
  | Neg_Generator_CPS => "neg_generator_cps")
wenzelm@55437
   668
wenzelm@55437
   669
val compilation_names =
wenzelm@55437
   670
 [("pred", Pred),
bulwahn@36018
   671
  ("random", Random),
bulwahn@36018
   672
  ("depth_limited", Depth_Limited),
bulwahn@36018
   673
  ("depth_limited_random", Depth_Limited_Random),
bulwahn@36018
   674
  (*("annotated", Annotated),*)
bulwahn@40054
   675
  ("dseq", DSeq),
bulwahn@40054
   676
  ("random_dseq", Pos_Random_DSeq),
bulwahn@40051
   677
  ("new_random_dseq", New_Pos_Random_DSeq),
bulwahn@45450
   678
  ("generator_dseq", Pos_Generator_DSeq),
bulwahn@45450
   679
  ("generator_cps", Pos_Generator_CPS)]
bulwahn@36038
   680
bulwahn@36038
   681
val non_random_compilations = [Pred, Depth_Limited, DSeq, Annotated]
bulwahn@36038
   682
bulwahn@36038
   683
bulwahn@36038
   684
val random_compilations = [Random, Depth_Limited_Random,
bulwahn@48221
   685
  Pos_Random_DSeq, Neg_Random_DSeq, New_Pos_Random_DSeq, New_Neg_Random_DSeq,
bulwahn@48221
   686
  Pos_Generator_CPS, Neg_Generator_CPS]
bulwahn@36038
   687
wenzelm@55437
   688
bulwahn@36046
   689
(* datastructures and setup for generic compilation *)
bulwahn@36046
   690
bulwahn@36046
   691
datatype compilation_funs = CompilationFuns of {
bulwahn@45461
   692
  mk_monadT : typ -> typ,
bulwahn@45461
   693
  dest_monadT : typ -> typ,
bulwahn@45461
   694
  mk_empty : typ -> term,
bulwahn@36046
   695
  mk_single : term -> term,
bulwahn@36046
   696
  mk_bind : term * term -> term,
bulwahn@45461
   697
  mk_plus : term * term -> term,
bulwahn@36046
   698
  mk_if : term -> term,
bulwahn@36049
   699
  mk_iterate_upto : typ -> term * term * term -> term,
bulwahn@36046
   700
  mk_not : term -> term,
bulwahn@36046
   701
  mk_map : typ -> typ -> term -> term -> term
wenzelm@55437
   702
}
bulwahn@36038
   703
bulwahn@45461
   704
fun mk_monadT (CompilationFuns funs) = #mk_monadT funs
bulwahn@45461
   705
fun dest_monadT (CompilationFuns funs) = #dest_monadT funs
bulwahn@45461
   706
fun mk_empty (CompilationFuns funs) = #mk_empty funs
bulwahn@36046
   707
fun mk_single (CompilationFuns funs) = #mk_single funs
bulwahn@36046
   708
fun mk_bind (CompilationFuns funs) = #mk_bind funs
bulwahn@45461
   709
fun mk_plus (CompilationFuns funs) = #mk_plus funs
bulwahn@36046
   710
fun mk_if (CompilationFuns funs) = #mk_if funs
bulwahn@36049
   711
fun mk_iterate_upto (CompilationFuns funs) = #mk_iterate_upto funs
bulwahn@36046
   712
fun mk_not (CompilationFuns funs) = #mk_not funs
bulwahn@36046
   713
fun mk_map (CompilationFuns funs) = #mk_map funs
bulwahn@36046
   714
wenzelm@55437
   715
bulwahn@36046
   716
(** function types and names of different compilations **)
bulwahn@36046
   717
bulwahn@36046
   718
fun funT_of compfuns mode T =
bulwahn@36046
   719
  let
bulwahn@36046
   720
    val Ts = binder_types T
wenzelm@55437
   721
    val (inTs, outTs) =
wenzelm@55437
   722
      split_map_modeT (fn m => fn T => (SOME (funT_of compfuns m T), NONE)) mode Ts
bulwahn@36046
   723
  in
bulwahn@45461
   724
    inTs ---> (mk_monadT compfuns (HOLogic.mk_tupleT outTs))
wenzelm@55437
   725
  end
wenzelm@55437
   726
bulwahn@36046
   727
bulwahn@36046
   728
(* Different options for compiler *)
bulwahn@34948
   729
wenzelm@55437
   730
datatype options = Options of {
bulwahn@34948
   731
  expected_modes : (string * mode list) option,
bulwahn@39382
   732
  proposed_modes : (string * mode list) list,
bulwahn@34948
   733
  proposed_names : ((string * mode) * string) list,
bulwahn@33250
   734
  show_steps : bool,
bulwahn@33250
   735
  show_proof_trace : bool,
bulwahn@33250
   736
  show_intermediate_results : bool,
bulwahn@33251
   737
  show_mode_inference : bool,
bulwahn@33251
   738
  show_modes : bool,
bulwahn@33250
   739
  show_compilation : bool,
bulwahn@35324
   740
  show_caught_failures : bool,
bulwahn@39383
   741
  show_invalid_clauses : bool,
bulwahn@33250
   742
  skip_proof : bool,
bulwahn@35324
   743
  no_topmost_reordering : bool,
bulwahn@35324
   744
  function_flattening : bool,
bulwahn@36248
   745
  specialise : bool,
bulwahn@35324
   746
  fail_safe_function_flattening : bool,
bulwahn@35324
   747
  no_higher_order_predicate : string list,
bulwahn@33250
   748
  inductify : bool,
bulwahn@36254
   749
  detect_switches : bool,
bulwahn@40048
   750
  smart_depth_limiting : bool,
bulwahn@34948
   751
  compilation : compilation
wenzelm@55437
   752
}
bulwahn@33250
   753
bulwahn@33250
   754
fun expected_modes (Options opt) = #expected_modes opt
bulwahn@39382
   755
fun proposed_modes (Options opt) = AList.lookup (op =) (#proposed_modes opt)
bulwahn@34948
   756
fun proposed_names (Options opt) name mode = AList.lookup (eq_pair (op =) eq_mode)
bulwahn@33623
   757
  (#proposed_names opt) (name, mode)
bulwahn@33620
   758
bulwahn@33250
   759
fun show_steps (Options opt) = #show_steps opt
bulwahn@33250
   760
fun show_intermediate_results (Options opt) = #show_intermediate_results opt
bulwahn@33250
   761
fun show_proof_trace (Options opt) = #show_proof_trace opt
bulwahn@33251
   762
fun show_modes (Options opt) = #show_modes opt
bulwahn@33251
   763
fun show_mode_inference (Options opt) = #show_mode_inference opt
bulwahn@33250
   764
fun show_compilation (Options opt) = #show_compilation opt
bulwahn@35324
   765
fun show_caught_failures (Options opt) = #show_caught_failures opt
bulwahn@39383
   766
fun show_invalid_clauses (Options opt) = #show_invalid_clauses opt
bulwahn@33250
   767
fun skip_proof (Options opt) = #skip_proof opt
bulwahn@33250
   768
bulwahn@35324
   769
fun function_flattening (Options opt) = #function_flattening opt
bulwahn@35324
   770
fun fail_safe_function_flattening (Options opt) = #fail_safe_function_flattening opt
bulwahn@36248
   771
fun specialise (Options opt) = #specialise opt
bulwahn@35324
   772
fun no_topmost_reordering (Options opt) = #no_topmost_reordering opt
bulwahn@35324
   773
fun no_higher_order_predicate (Options opt) = #no_higher_order_predicate opt
bulwahn@35324
   774
bulwahn@33250
   775
fun is_inductify (Options opt) = #inductify opt
bulwahn@34948
   776
bulwahn@34948
   777
fun compilation (Options opt) = #compilation opt
bulwahn@33250
   778
bulwahn@36254
   779
fun detect_switches (Options opt) = #detect_switches opt
bulwahn@36254
   780
bulwahn@40048
   781
fun smart_depth_limiting (Options opt) = #smart_depth_limiting opt
bulwahn@40048
   782
bulwahn@33250
   783
val default_options = Options {
bulwahn@33250
   784
  expected_modes = NONE,
bulwahn@39382
   785
  proposed_modes = [],
bulwahn@33623
   786
  proposed_names = [],
bulwahn@33250
   787
  show_steps = false,
bulwahn@33250
   788
  show_intermediate_results = false,
bulwahn@33250
   789
  show_proof_trace = false,
bulwahn@33251
   790
  show_modes = false,
bulwahn@33250
   791
  show_mode_inference = false,
bulwahn@33250
   792
  show_compilation = false,
bulwahn@35324
   793
  show_caught_failures = false,
bulwahn@39383
   794
  show_invalid_clauses = false,
bulwahn@34948
   795
  skip_proof = true,
bulwahn@35324
   796
  no_topmost_reordering = false,
bulwahn@35324
   797
  function_flattening = false,
bulwahn@36248
   798
  specialise = false,
bulwahn@35324
   799
  fail_safe_function_flattening = false,
bulwahn@35324
   800
  no_higher_order_predicate = [],
bulwahn@33250
   801
  inductify = false,
bulwahn@36254
   802
  detect_switches = true,
bulwahn@40048
   803
  smart_depth_limiting = false,
bulwahn@34948
   804
  compilation = Pred
bulwahn@33250
   805
}
bulwahn@33250
   806
bulwahn@34948
   807
val bool_options = ["show_steps", "show_intermediate_results", "show_proof_trace", "show_modes",
bulwahn@39383
   808
  "show_mode_inference", "show_compilation", "show_invalid_clauses", "skip_proof", "inductify",
bulwahn@40048
   809
  "no_function_flattening", "detect_switches", "specialise", "no_topmost_reordering",
bulwahn@40048
   810
  "smart_depth_limiting"]
bulwahn@34948
   811
bulwahn@33250
   812
fun print_step options s =
bulwahn@33250
   813
  if show_steps options then tracing s else ()
bulwahn@33250
   814
wenzelm@55437
   815
bulwahn@36047
   816
(* simple transformations *)
bulwahn@36047
   817
bulwahn@36047
   818
(** tuple processing **)
bulwahn@33250
   819
bulwahn@39657
   820
fun rewrite_args [] (pats, intro_t, ctxt) = (pats, intro_t, ctxt)
wenzelm@55437
   821
  | rewrite_args (arg::args) (pats, intro_t, ctxt) =
wenzelm@55437
   822
      (case HOLogic.strip_tupleT (fastype_of arg) of
wenzelm@55437
   823
        (_ :: _ :: _) =>
wenzelm@55437
   824
        let
wenzelm@55437
   825
          fun rewrite_arg'
wenzelm@55437
   826
                (Const (@{const_name Pair}, _) $ _ $ t2, Type (@{type_name Product_Type.prod}, [_, T2]))
wenzelm@55437
   827
                (args, (pats, intro_t, ctxt)) =
wenzelm@55437
   828
                rewrite_arg' (t2, T2) (args, (pats, intro_t, ctxt))
wenzelm@55437
   829
            | rewrite_arg'
wenzelm@55437
   830
                (t, Type (@{type_name Product_Type.prod}, [T1, T2])) (args, (pats, intro_t, ctxt)) =
wenzelm@55437
   831
                let
wenzelm@55437
   832
                  val thy = Proof_Context.theory_of ctxt
wenzelm@55437
   833
                  val ([x, y], ctxt') = Variable.variant_fixes ["x", "y"] ctxt
wenzelm@55437
   834
                  val pat = (t, HOLogic.mk_prod (Free (x, T1), Free (y, T2)))
wenzelm@55437
   835
                  val intro_t' = Pattern.rewrite_term thy [pat] [] intro_t
wenzelm@55437
   836
                  val args' = map (Pattern.rewrite_term thy [pat] []) args
wenzelm@55437
   837
                in
wenzelm@55437
   838
                  rewrite_arg' (Free (y, T2), T2) (args', (pat::pats, intro_t', ctxt'))
wenzelm@55437
   839
                end
wenzelm@55437
   840
            | rewrite_arg' _ (args, (pats, intro_t, ctxt)) = (args, (pats, intro_t, ctxt))
wenzelm@55437
   841
          val (args', (pats, intro_t', ctxt')) =
wenzelm@55437
   842
            rewrite_arg' (arg, fastype_of arg) (args, (pats, intro_t, ctxt))
wenzelm@55437
   843
        in
wenzelm@55437
   844
          rewrite_args args' (pats, intro_t', ctxt')
wenzelm@55437
   845
        end
bulwahn@39657
   846
  | _ => rewrite_args args (pats, intro_t, ctxt))
bulwahn@39657
   847
bulwahn@39657
   848
fun rewrite_prem atom =
bulwahn@39657
   849
  let
bulwahn@39657
   850
    val (_, args) = strip_comb atom
bulwahn@39657
   851
  in rewrite_args args end
bulwahn@39657
   852
bulwahn@39787
   853
fun split_conjuncts_in_assms ctxt th =
bulwahn@39787
   854
  let
wenzelm@55437
   855
    val ((_, [fixed_th]), ctxt') = Variable.import false [th] ctxt
bulwahn@39787
   856
    fun split_conjs i nprems th =
bulwahn@39787
   857
      if i > nprems then th
bulwahn@39787
   858
      else
wenzelm@55437
   859
        (case try Drule.RSN (@{thm conjI}, (i, th)) of
wenzelm@55437
   860
          SOME th' => split_conjs i (nprems + 1) th'
wenzelm@55437
   861
        | NONE => split_conjs (i + 1) nprems th)
bulwahn@39787
   862
  in
wenzelm@55437
   863
    singleton (Variable.export ctxt' ctxt)
wenzelm@55437
   864
      (split_conjs 1 (Thm.nprems_of fixed_th) fixed_th)
bulwahn@39787
   865
  end
bulwahn@40052
   866
bulwahn@40052
   867
fun dest_conjunct_prem th =
wenzelm@55437
   868
  (case HOLogic.dest_Trueprop (prop_of th) of
haftmann@46662
   869
    (Const (@{const_name HOL.conj}, _) $ _ $ _) =>
bulwahn@40052
   870
      dest_conjunct_prem (th RS @{thm conjunct1})
bulwahn@40052
   871
        @ dest_conjunct_prem (th RS @{thm conjunct2})
wenzelm@55437
   872
   | _ => [th])
bulwahn@40052
   873
bulwahn@33250
   874
fun expand_tuples thy intro =
bulwahn@33250
   875
  let
wenzelm@42361
   876
    val ctxt = Proof_Context.init_global thy
bulwahn@33250
   877
    val (((T_insts, t_insts), [intro']), ctxt1) = Variable.import false [intro] ctxt
bulwahn@33250
   878
    val intro_t = prop_of intro'
bulwahn@33250
   879
    val concl = Logic.strip_imp_concl intro_t
haftmann@46662
   880
    val (_, args) = strip_comb (HOLogic.dest_Trueprop concl)
bulwahn@33250
   881
    val (pats', intro_t', ctxt2) = rewrite_args args ([], intro_t, ctxt1)
haftmann@46662
   882
    val (pats', _, ctxt3) = fold_atoms rewrite_prem intro_t' (pats', intro_t', ctxt2)
bulwahn@33250
   883
    fun rewrite_pat (ct1, ct2) =
bulwahn@33250
   884
      (ct1, cterm_of thy (Pattern.rewrite_term thy pats' [] (term_of ct2)))
bulwahn@33250
   885
    val t_insts' = map rewrite_pat t_insts
bulwahn@33250
   886
    val intro'' = Thm.instantiate (T_insts, t_insts') intro
bulwahn@33250
   887
    val [intro'''] = Variable.export ctxt3 ctxt [intro'']
wenzelm@51717
   888
    val intro'''' =
wenzelm@51717
   889
      Simplifier.full_simplify
wenzelm@51717
   890
        (put_simpset HOL_basic_ss ctxt
wenzelm@51717
   891
          addsimps [@{thm fst_conv}, @{thm snd_conv}, @{thm Pair_eq}])
bulwahn@33250
   892
      intro'''
bulwahn@33250
   893
    (* splitting conjunctions introduced by Pair_eq*)
bulwahn@39787
   894
    val intro''''' = split_conjuncts_in_assms ctxt intro''''
bulwahn@33250
   895
  in
bulwahn@33250
   896
    intro'''''
bulwahn@33250
   897
  end
bulwahn@33250
   898
wenzelm@55437
   899
bulwahn@39802
   900
(** making case distributivity rules **)
bulwahn@39802
   901
(*** this should be part of the datatype package ***)
bulwahn@39802
   902
blanchet@55399
   903
fun datatype_name_of_case_name thy =
blanchet@55399
   904
  Ctr_Sugar.ctr_sugar_of_case (Proof_Context.init_global thy)
blanchet@55399
   905
  #> the #> #ctrs #> hd #> fastype_of #> body_type #> dest_Type #> fst
bulwahn@39802
   906
blanchet@55399
   907
fun make_case_comb thy Tcon =
bulwahn@39802
   908
  let
blanchet@55399
   909
    val ctxt = Proof_Context.init_global thy
blanchet@55399
   910
    val SOME {casex, ...} = Ctr_Sugar.ctr_sugar_of ctxt Tcon
blanchet@55399
   911
    val casex' = Type.legacy_freeze casex
blanchet@55399
   912
    val Ts = BNF_Util.binder_fun_types (fastype_of casex')
bulwahn@39802
   913
  in
blanchet@55399
   914
    list_comb (casex', map_index (fn (j, T) => Free ("f" ^ string_of_int j,  T)) Ts)
bulwahn@39802
   915
  end
bulwahn@39802
   916
blanchet@55399
   917
fun make_case_distrib thy Tcon =
bulwahn@39802
   918
  let
blanchet@55399
   919
    val comb = make_case_comb thy Tcon;
blanchet@55399
   920
    val Type ("fun", [T, T']) = fastype_of comb;
blanchet@55399
   921
    val (Const (case_name, _), fs) = strip_comb comb
blanchet@55399
   922
    val used = Term.add_tfree_names comb []
blanchet@55399
   923
    val U = TFree (singleton (Name.variant_list used) "'t", HOLogic.typeS)
blanchet@55399
   924
    val x = Free ("x", T)
blanchet@55399
   925
    val f = Free ("f", T' --> U)
blanchet@55399
   926
    fun apply_f f' =
blanchet@55399
   927
      let
blanchet@55399
   928
        val Ts = binder_types (fastype_of f')
blanchet@55399
   929
        val bs = map Bound ((length Ts - 1) downto 0)
blanchet@55399
   930
      in
blanchet@55399
   931
        fold_rev absdummy Ts (f $ (list_comb (f', bs)))
blanchet@55399
   932
      end
blanchet@55399
   933
    val fs' = map apply_f fs
blanchet@55399
   934
    val case_c' = Const (case_name, (map fastype_of fs') @ [T] ---> U)
bulwahn@39802
   935
  in
blanchet@55399
   936
    HOLogic.mk_eq (f $ (comb $ x), list_comb (case_c', fs') $ x)
bulwahn@39802
   937
  end
bulwahn@39802
   938
blanchet@55399
   939
fun case_rewrite thy Tcon =
blanchet@55399
   940
  (Drule.export_without_context o Skip_Proof.make_thm thy o HOLogic.mk_Trueprop)
blanchet@55399
   941
    (make_case_distrib thy Tcon)
blanchet@55399
   942
blanchet@55399
   943
fun instantiated_case_rewrite thy Tcon =
bulwahn@39802
   944
  let
blanchet@55399
   945
    val th = case_rewrite thy Tcon
wenzelm@42361
   946
    val ctxt = Proof_Context.init_global thy
blanchet@55399
   947
    val f = (fst (strip_comb (fst (HOLogic.dest_eq (HOLogic.dest_Trueprop (prop_of th))))))
blanchet@55399
   948
    val Type ("fun", [uninst_T, uninst_T']) = fastype_of f
blanchet@55399
   949
    val ([_, tname', uname, yname], ctxt') = Variable.add_fixes ["'t", "'t'", "'u", "y"] ctxt
blanchet@55399
   950
    val T' = TFree (tname', HOLogic.typeS)
blanchet@55399
   951
    val U = TFree (uname, HOLogic.typeS)
blanchet@55399
   952
    val y = Free (yname, U)
blanchet@55399
   953
    val f' = absdummy (U --> T') (Bound 0 $ y)
blanchet@55399
   954
    val th' = Thm.certify_instantiate
blanchet@55399
   955
      ([(dest_TVar uninst_T, U --> T'), (dest_TVar uninst_T', T')],
blanchet@55399
   956
       [((fst (dest_Var f), (U --> T') --> T'), f')]) th
blanchet@55399
   957
    val [th'] = Variable.export ctxt' ctxt [th']
blanchet@55399
   958
  in
blanchet@55399
   959
    th'
blanchet@55399
   960
  end
bulwahn@39802
   961
bulwahn@39802
   962
fun case_betapply thy t =
bulwahn@39802
   963
  let
bulwahn@39802
   964
    val case_name = fst (dest_Const (fst (strip_comb t)))
blanchet@55399
   965
    val Tcon = datatype_name_of_case_name thy case_name
blanchet@55399
   966
    val th = instantiated_case_rewrite thy Tcon
bulwahn@39802
   967
  in
blanchet@55399
   968
    Raw_Simplifier.rewrite_term thy [th RS @{thm eq_reflection}] [] t
bulwahn@39802
   969
  end
bulwahn@39802
   970
wenzelm@55437
   971
bulwahn@39657
   972
(*** conversions ***)
bulwahn@39657
   973
bulwahn@39657
   974
fun imp_prems_conv cv ct =
wenzelm@55437
   975
  (case Thm.term_of ct of
bulwahn@39657
   976
    Const ("==>", _) $ _ $ _ => Conv.combination_conv (Conv.arg_conv cv) (imp_prems_conv cv) ct
wenzelm@55437
   977
  | _ => Conv.all_conv ct)
wenzelm@55437
   978
bulwahn@39657
   979
bulwahn@36047
   980
(** eta contract higher-order arguments **)
bulwahn@35875
   981
bulwahn@35875
   982
fun eta_contract_ho_arguments thy intro =
bulwahn@35875
   983
  let
bulwahn@35875
   984
    fun f atom = list_comb (apsnd ((map o map_products) Envir.eta_contract) (strip_comb atom))
bulwahn@35875
   985
  in
bulwahn@35875
   986
    map_term thy (map_concl f o map_atoms f) intro
bulwahn@35875
   987
  end
bulwahn@35875
   988
wenzelm@55437
   989
bulwahn@36047
   990
(** remove equalities **)
bulwahn@36022
   991
bulwahn@36022
   992
fun remove_equalities thy intro =
bulwahn@36022
   993
  let
bulwahn@36022
   994
    fun remove_eqs intro_t =
bulwahn@36022
   995
      let
bulwahn@36022
   996
        val (prems, concl) = Logic.strip_horn intro_t
bulwahn@36022
   997
        fun remove_eq (prems, concl) =
bulwahn@36022
   998
          let
bulwahn@36022
   999
            fun removable_eq prem =
wenzelm@55437
  1000
              (case try (HOLogic.dest_eq o HOLogic.dest_Trueprop) prem of
wenzelm@55437
  1001
                SOME (lhs, rhs) =>
wenzelm@55437
  1002
                  (case lhs of
wenzelm@55437
  1003
                    Var _ => true
bulwahn@36022
  1004
                  | _ => (case rhs of Var _ => true | _ => false))
wenzelm@55437
  1005
              | NONE => false)
bulwahn@36022
  1006
          in
wenzelm@55437
  1007
            (case find_first removable_eq prems of
bulwahn@36022
  1008
              NONE => (prems, concl)
bulwahn@36022
  1009
            | SOME eq =>
wenzelm@55437
  1010
                let
wenzelm@55437
  1011
                  val (lhs, rhs) = HOLogic.dest_eq (HOLogic.dest_Trueprop eq)
wenzelm@55437
  1012
                  val prems' = remove (op =) eq prems
wenzelm@55437
  1013
                  val subst =
wenzelm@55437
  1014
                    (case lhs of
wenzelm@55437
  1015
                      (v as Var _) =>
wenzelm@55437
  1016
                        (fn t => if t = v then rhs else t)
wenzelm@55437
  1017
                    | _ => (case rhs of (v as Var _) => (fn t => if t = v then lhs else t)))
wenzelm@55437
  1018
                in
wenzelm@55437
  1019
                  remove_eq (map (map_aterms subst) prems', map_aterms subst concl)
wenzelm@55437
  1020
                end)
bulwahn@36022
  1021
          end
bulwahn@36022
  1022
      in
bulwahn@36022
  1023
        Logic.list_implies (remove_eq (prems, concl))
bulwahn@36022
  1024
      end
bulwahn@36022
  1025
  in
bulwahn@36022
  1026
    map_term thy remove_eqs intro
bulwahn@36022
  1027
  end
bulwahn@35875
  1028
wenzelm@55437
  1029
bulwahn@36246
  1030
(* Some last processing *)
bulwahn@36246
  1031
bulwahn@36246
  1032
fun remove_pointless_clauses intro =
bulwahn@36246
  1033
  if Logic.strip_imp_prems (prop_of intro) = [@{prop "False"}] then
bulwahn@36246
  1034
    []
bulwahn@36246
  1035
  else [intro]
bulwahn@36246
  1036
wenzelm@55437
  1037
bulwahn@36246
  1038
(* some peephole optimisations *)
bulwahn@36246
  1039
bulwahn@36246
  1040
fun peephole_optimisation thy intro =
bulwahn@36246
  1041
  let
wenzelm@54742
  1042
    val ctxt = Proof_Context.init_global thy  (* FIXME proper context!? *)
wenzelm@36610
  1043
    val process =
wenzelm@54742
  1044
      rewrite_rule ctxt (Predicate_Compile_Simps.get ctxt)
bulwahn@36246
  1045
    fun process_False intro_t =
wenzelm@55437
  1046
      if member (op =) (Logic.strip_imp_prems intro_t) @{prop "False"}
wenzelm@55437
  1047
      then NONE else SOME intro_t
bulwahn@36246
  1048
    fun process_True intro_t =
bulwahn@36246
  1049
      map_filter_premises (fn p => if p = @{prop True} then NONE else SOME p) intro_t
bulwahn@36246
  1050
  in
bulwahn@36246
  1051
    Option.map (Skip_Proof.make_thm thy)
bulwahn@36246
  1052
      (process_False (process_True (prop_of (process intro))))
bulwahn@36246
  1053
  end
bulwahn@36246
  1054
bulwahn@40101
  1055
bulwahn@40101
  1056
(* importing introduction rules *)
bulwahn@40101
  1057
bulwahn@40101
  1058
fun import_intros inp_pred [] ctxt =
wenzelm@55437
  1059
      let
wenzelm@55437
  1060
        val ([outp_pred], ctxt') = Variable.import_terms true [inp_pred] ctxt
wenzelm@55437
  1061
        val T = fastype_of outp_pred
wenzelm@55437
  1062
        val paramTs = ho_argsT_of_typ (binder_types T)
wenzelm@55437
  1063
        val (param_names, _) = Variable.variant_fixes
wenzelm@55437
  1064
          (map (fn i => "p" ^ (string_of_int i)) (1 upto (length paramTs))) ctxt'
wenzelm@55437
  1065
        val params = map2 (curry Free) param_names paramTs
wenzelm@55437
  1066
      in
wenzelm@55437
  1067
        (((outp_pred, params), []), ctxt')
wenzelm@55437
  1068
      end
bulwahn@40101
  1069
  | import_intros inp_pred (th :: ths) ctxt =
wenzelm@55437
  1070
      let
wenzelm@55437
  1071
        val ((_, [th']), ctxt') = Variable.import true [th] ctxt
wenzelm@55437
  1072
        val thy = Proof_Context.theory_of ctxt'
wenzelm@55437
  1073
        val (pred, args) = strip_intro_concl th'
wenzelm@55437
  1074
        val T = fastype_of pred
wenzelm@55437
  1075
        val ho_args = ho_args_of_typ T args
wenzelm@55437
  1076
        fun subst_of (pred', pred) =
wenzelm@55437
  1077
          let
wenzelm@55437
  1078
            val subst = Sign.typ_match thy (fastype_of pred', fastype_of pred) Vartab.empty
wenzelm@55437
  1079
              handle Type.TYPE_MATCH =>
wenzelm@55437
  1080
                error ("Type mismatch of predicate " ^ fst (dest_Const pred) ^
wenzelm@55437
  1081
                  " (trying to match " ^ Syntax.string_of_typ ctxt (fastype_of pred') ^
wenzelm@55437
  1082
                  " and " ^ Syntax.string_of_typ ctxt (fastype_of pred) ^ ")" ^
wenzelm@55437
  1083
                  " in " ^ Display.string_of_thm ctxt th)
wenzelm@55437
  1084
          in map (fn (indexname, (s, T)) => ((indexname, s), T)) (Vartab.dest subst) end
wenzelm@55437
  1085
        fun instantiate_typ th =
wenzelm@55437
  1086
          let
wenzelm@55437
  1087
            val (pred', _) = strip_intro_concl th
wenzelm@55437
  1088
            val _ =
wenzelm@55437
  1089
              if not (fst (dest_Const pred) = fst (dest_Const pred')) then
wenzelm@55437
  1090
                raise Fail "Trying to instantiate another predicate"
wenzelm@55437
  1091
              else ()
wenzelm@55437
  1092
          in Thm.certify_instantiate (subst_of (pred', pred), []) th end
wenzelm@55437
  1093
        fun instantiate_ho_args th =
wenzelm@55437
  1094
          let
wenzelm@55437
  1095
            val (_, args') =
wenzelm@55437
  1096
              (strip_comb o HOLogic.dest_Trueprop o Logic.strip_imp_concl o prop_of) th
wenzelm@55437
  1097
            val ho_args' = map dest_Var (ho_args_of_typ T args')
wenzelm@55437
  1098
          in Thm.certify_instantiate ([], ho_args' ~~ ho_args) th end
wenzelm@55437
  1099
        val outp_pred =
wenzelm@55437
  1100
          Term_Subst.instantiate (subst_of (inp_pred, pred), []) inp_pred
wenzelm@55437
  1101
        val ((_, ths'), ctxt1) =
wenzelm@55437
  1102
          Variable.import false (map (instantiate_typ #> instantiate_ho_args) ths) ctxt'
wenzelm@55437
  1103
      in
wenzelm@55437
  1104
        (((outp_pred, ho_args), th' :: ths'), ctxt1)
wenzelm@55437
  1105
      end
wenzelm@55437
  1106
wenzelm@55437
  1107
bulwahn@40101
  1108
(* generation of case rules from user-given introduction rules *)
bulwahn@40101
  1109
bulwahn@40101
  1110
fun mk_args2 (Type (@{type_name Product_Type.prod}, [T1, T2])) st =
wenzelm@55437
  1111
      let
wenzelm@55437
  1112
        val (t1, st') = mk_args2 T1 st
wenzelm@55437
  1113
        val (t2, st'') = mk_args2 T2 st'
wenzelm@55437
  1114
      in
wenzelm@55437
  1115
        (HOLogic.mk_prod (t1, t2), st'')
wenzelm@55437
  1116
      end
wenzelm@55437
  1117
  (*| mk_args2 (T as Type ("fun", _)) (params, ctxt) =
bulwahn@40101
  1118
    let
bulwahn@40101
  1119
      val (S, U) = strip_type T
bulwahn@40101
  1120
    in
bulwahn@40101
  1121
      if U = HOLogic.boolT then
bulwahn@40101
  1122
        (hd params, (tl params, ctxt))
bulwahn@40101
  1123
      else
bulwahn@40101
  1124
        let
bulwahn@40101
  1125
          val ([x], ctxt') = Variable.variant_fixes ["x"] ctxt
bulwahn@40101
  1126
        in
bulwahn@40101
  1127
          (Free (x, T), (params, ctxt'))
bulwahn@40101
  1128
        end
bulwahn@40101
  1129
    end*)
bulwahn@40101
  1130
  | mk_args2 T (params, ctxt) =
wenzelm@55437
  1131
      let
wenzelm@55437
  1132
        val ([x], ctxt') = Variable.variant_fixes ["x"] ctxt
wenzelm@55437
  1133
      in
wenzelm@55437
  1134
        (Free (x, T), (params, ctxt'))
wenzelm@55437
  1135
      end
bulwahn@40101
  1136
bulwahn@40101
  1137
fun mk_casesrule ctxt pred introrules =
bulwahn@40101
  1138
  let
bulwahn@40101
  1139
    (* TODO: can be simplified if parameters are not treated specially ? *)
bulwahn@40101
  1140
    val (((pred, params), intros_th), ctxt1) = import_intros pred introrules ctxt
bulwahn@40101
  1141
    (* TODO: distinct required ? -- test case with more than one parameter! *)
bulwahn@40101
  1142
    val params = distinct (op aconv) params
bulwahn@40101
  1143
    val intros = map prop_of intros_th
bulwahn@40101
  1144
    val ([propname], ctxt2) = Variable.variant_fixes ["thesis"] ctxt1
bulwahn@40101
  1145
    val prop = HOLogic.mk_Trueprop (Free (propname, HOLogic.boolT))
bulwahn@40101
  1146
    val argsT = binder_types (fastype_of pred)
bulwahn@40101
  1147
    (* TODO: can be simplified if parameters are not treated specially ? <-- see uncommented code! *)
bulwahn@40101
  1148
    val (argvs, _) = fold_map mk_args2 argsT (params, ctxt2)
bulwahn@40101
  1149
    fun mk_case intro =
bulwahn@40101
  1150
      let
bulwahn@40101
  1151
        val (_, args) = (strip_comb o HOLogic.dest_Trueprop o Logic.strip_imp_concl) intro
bulwahn@40101
  1152
        val prems = Logic.strip_imp_prems intro
bulwahn@40101
  1153
        val eqprems =
bulwahn@40101
  1154
          map2 (HOLogic.mk_Trueprop oo (curry HOLogic.mk_eq)) argvs args
bulwahn@40101
  1155
        val frees = map Free (fold Term.add_frees (args @ prems) [])
bulwahn@40101
  1156
      in fold Logic.all frees (Logic.list_implies (eqprems @ prems, prop)) end
bulwahn@40101
  1157
    val assm = HOLogic.mk_Trueprop (list_comb (pred, argvs))
bulwahn@40101
  1158
    val cases = map mk_case intros
bulwahn@40101
  1159
  in Logic.list_implies (assm :: cases, prop) end;
wenzelm@55437
  1160
bulwahn@40101
  1161
bulwahn@40101
  1162
(* unifying constants to have the same type variables *)
bulwahn@40101
  1163
bulwahn@40101
  1164
fun unify_consts thy cs intr_ts =
wenzelm@55437
  1165
  let
bulwahn@40101
  1166
     val add_term_consts_2 = fold_aterms (fn Const c => insert (op =) c | _ => I);
bulwahn@40101
  1167
     fun varify (t, (i, ts)) =
bulwahn@40101
  1168
       let val t' = map_types (Logic.incr_tvar (i + 1)) (#2 (Type.varify_global [] t))
wenzelm@55437
  1169
       in (maxidx_of_term t', t' :: ts) end
wenzelm@55437
  1170
     val (i, cs') = List.foldr varify (~1, []) cs
wenzelm@55437
  1171
     val (i', intr_ts') = List.foldr varify (i, []) intr_ts
wenzelm@55437
  1172
     val rec_consts = fold add_term_consts_2 cs' []
wenzelm@55437
  1173
     val intr_consts = fold add_term_consts_2 intr_ts' []
bulwahn@40101
  1174
     fun unify (cname, cT) =
bulwahn@40101
  1175
       let val consts = map snd (filter (fn c => fst c = cname) intr_consts)
wenzelm@55437
  1176
       in fold (Sign.typ_unify thy) ((replicate (length consts) cT) ~~ consts) end
wenzelm@55437
  1177
     val (env, _) = fold unify rec_consts (Vartab.empty, i')
bulwahn@40101
  1178
     val subst = map_types (Envir.norm_type env)
bulwahn@40101
  1179
   in (map subst cs', map subst intr_ts')
wenzelm@55437
  1180
   end handle Type.TUNIFY =>
wenzelm@55437
  1181
     (warning "Occurrences of recursive constant have non-unifiable types"; (cs, intr_ts))
wenzelm@55437
  1182
bulwahn@40101
  1183
bulwahn@40101
  1184
(* preprocessing rules *)
bulwahn@40101
  1185
bulwahn@40101
  1186
fun preprocess_equality thy rule =
bulwahn@40101
  1187
  Conv.fconv_rule
bulwahn@40101
  1188
    (imp_prems_conv
wenzelm@51314
  1189
      (HOLogic.Trueprop_conv
wenzelm@51314
  1190
        (Conv.try_conv (Conv.rewr_conv (Thm.symmetric @{thm Predicate.eq_is_eq})))))
bulwahn@40101
  1191
    (Thm.transfer thy rule)
bulwahn@40101
  1192
bulwahn@40101
  1193
fun preprocess_intro thy = expand_tuples thy #> preprocess_equality thy
bulwahn@40101
  1194
wenzelm@55437
  1195
bulwahn@39541
  1196
(* defining a quickcheck predicate *)
bulwahn@39541
  1197
bulwahn@39541
  1198
fun strip_imp_prems (Const(@{const_name HOL.implies}, _) $ A $ B) = A :: strip_imp_prems B
bulwahn@39541
  1199
  | strip_imp_prems _ = [];
bulwahn@39541
  1200
haftmann@46662
  1201
fun strip_imp_concl (Const(@{const_name HOL.implies}, _) $ _ $ B) = strip_imp_concl B
haftmann@46662
  1202
  | strip_imp_concl A = A;
bulwahn@39541
  1203
wenzelm@55437
  1204
fun strip_horn A = (strip_imp_prems A, strip_imp_concl A)
bulwahn@39541
  1205
bulwahn@39541
  1206
fun define_quickcheck_predicate t thy =
bulwahn@39541
  1207
  let
bulwahn@39541
  1208
    val (vs, t') = strip_abs t
wenzelm@51552
  1209
    val vs' = Variable.variant_frees (Proof_Context.init_global thy) [] vs (* FIXME proper context!? *)
bulwahn@39541
  1210
    val t'' = subst_bounds (map Free (rev vs'), t')
bulwahn@39541
  1211
    val (prems, concl) = strip_horn t''
bulwahn@39541
  1212
    val constname = "quickcheck"
bulwahn@39541
  1213
    val full_constname = Sign.full_bname thy constname
bulwahn@39541
  1214
    val constT = map snd vs' ---> @{typ bool}
wenzelm@56239
  1215
    val thy1 = Sign.add_consts [(Binding.name constname, constT, NoSyn)] thy
bulwahn@39541
  1216
    val const = Const (full_constname, constT)
wenzelm@55437
  1217
    val t =
wenzelm@55437
  1218
      Logic.list_implies
wenzelm@55437
  1219
        (map HOLogic.mk_Trueprop (prems @ [HOLogic.mk_not concl]),
wenzelm@55437
  1220
          HOLogic.mk_Trueprop (list_comb (const, map Free vs')))
wenzelm@51552
  1221
    val intro =
wenzelm@51552
  1222
      Goal.prove (Proof_Context.init_global thy1) (map fst vs') [] t
wenzelm@51552
  1223
        (fn _ => ALLGOALS Skip_Proof.cheat_tac)
bulwahn@39541
  1224
  in
bulwahn@39541
  1225
    ((((full_constname, constT), vs'), intro), thy1)
bulwahn@39541
  1226
  end
bulwahn@39541
  1227
wenzelm@55437
  1228
end