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|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2012 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
open Util
open Term
open Names
type cinfo =
{ci_constr: constructor; (* inductive type *)
ci_arity: int; (* # args *)
ci_nhyps: int} (* # projectable args *)
type term =
Symb of constr
| Product of sorts_family * sorts_family
| Eps of identifier
| Appli of term*term
| Constructor of cinfo (* constructor arity + nhyps *)
val term_equal : term -> term -> bool
type patt_kind =
Normal
| Trivial of types
| Creates_variables
type ccpattern =
PApp of term * ccpattern list
| PVar of int
type pa_constructor =
{ cnode : int;
arity : int;
args : int list}
module PacMap : Map.S with type key = pa_constructor
type forest
type state
type rule=
Congruence
| Axiom of constr * bool
| Injection of int * pa_constructor * int * pa_constructor * int
type from=
Goal
| Hyp of constr
| HeqG of constr
| HeqnH of constr*constr
type 'a eq = {lhs:int;rhs:int;rule:'a}
type equality = rule eq
type disequality = from eq
type explanation =
Discrimination of (int*pa_constructor*int*pa_constructor)
| Contradiction of disequality
| Incomplete
module Constrhash : Hashtbl.S with type key = constr
module Termhash : Hashtbl.S with type key = term
val constr_of_term : term -> constr
val debug : Pp.std_ppcmds -> unit
val forest : state -> forest
val axioms : forest -> (term * term) Constrhash.t
val epsilons : forest -> pa_constructor list
val empty : int -> Proof_type.goal Tacmach.sigma -> state
val add_term : state -> term -> int
val add_equality : state -> constr -> term -> term -> unit
val add_disequality : state -> from -> term -> term -> unit
val add_quant : state -> identifier -> bool ->
int * patt_kind * ccpattern * patt_kind * ccpattern -> unit
val tail_pac : pa_constructor -> pa_constructor
val find : forest -> int -> int
val find_pac : forest -> int -> pa_constructor -> int
val term : forest -> int -> term
val get_constructor_info : forest -> int -> cinfo
val subterms : forest -> int -> int * int
val join_path : forest -> int -> int ->
((int * int) * equality) list * ((int * int) * equality) list
type quant_eq=
{qe_hyp_id: identifier;
qe_pol: bool;
qe_nvars:int;
qe_lhs: ccpattern;
qe_lhs_valid:patt_kind;
qe_rhs: ccpattern;
qe_rhs_valid:patt_kind}
type pa_fun=
{fsym:int;
fnargs:int}
type matching_problem
module PafMap: Map.S with type key = pa_fun
val make_fun_table : state -> Int.Set.t PafMap.t
val do_match : state ->
(quant_eq * int array) list ref -> matching_problem Stack.t -> unit
val init_pb_stack : state -> matching_problem Stack.t
val paf_of_patt : int Termhash.t -> ccpattern -> pa_fun
val find_instances : state -> (quant_eq * int array) list
val execute : bool -> state -> explanation option
(*type pa_constructor
module PacMap:Map.S with type key=pa_constructor
type term =
Symb of Term.constr
| Eps
| Appli of term * term
| Constructor of Names.constructor*int*int
type rule =
Congruence
| Axiom of Names.identifier
| Injection of int*int*int*int
type equality =
{lhs : int;
rhs : int;
rule : rule}
module ST :
sig
type t
val empty : unit -> t
val enter : int -> int * int -> t -> unit
val query : int * int -> t -> int
val delete : int -> t -> unit
val delete_list : int list -> t -> unit
end
module UF :
sig
type t
exception Discriminable of int * int * int * int * t
val empty : unit -> t
val find : t -> int -> int
val size : t -> int -> int
val get_constructor : t -> int -> Names.constructor
val pac_arity : t -> int -> int * int -> int
val mem_node_pac : t -> int -> int * int -> int
val add_pacs : t -> int -> pa_constructor PacMap.t ->
int list * equality list
val term : t -> int -> term
val subterms : t -> int -> int * int
val add : t -> term -> int
val union : t -> int -> int -> equality -> int list * equality list
val join_path : t -> int -> int ->
((int*int)*equality) list*
((int*int)*equality) list
end
val combine_rec : UF.t -> int list -> equality list
val process_rec : UF.t -> equality list -> int list
val cc : UF.t -> unit
val make_uf :
(Names.identifier * (term * term)) list -> UF.t
val add_one_diseq : UF.t -> (term * term) -> int * int
val add_disaxioms :
UF.t -> (Names.identifier * (term * term)) list ->
(Names.identifier * (int * int)) list
val check_equal : UF.t -> int * int -> bool
val find_contradiction : UF.t ->
(Names.identifier * (int * int)) list ->
(Names.identifier * (int * int))
*)
|
