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|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
open Pp
open Names
open Term
open Environ
open Esubst
(** Flags for profiling reductions. *)
val stats : bool ref
val share : bool ref
val with_stats: 'a Lazy.t -> 'a
(** {6 ... } *)
(** Delta implies all consts (both global (= by
[kernel_name]) and local (= by [Rel] or [Var])), all evars, and letin's.
Rem: reduction of a Rel/Var bound to a term is Delta, but reduction of
a LetIn expression is Letin reduction *)
val all_opaque : transparent_state
val all_transparent : transparent_state
val is_transparent_variable : transparent_state -> variable -> bool
val is_transparent_constant : transparent_state -> constant -> bool
(** Sets of reduction kinds. *)
module type RedFlagsSig = sig
type reds
type red_kind
(** The different kinds of reduction *)
val fBETA : red_kind
val fDELTA : red_kind
val fIOTA : red_kind
val fZETA : red_kind
val fCONST : constant -> red_kind
val fVAR : identifier -> red_kind
(** No reduction at all *)
val no_red : reds
(** Adds a reduction kind to a set *)
val red_add : reds -> red_kind -> reds
(** Removes a reduction kind to a set *)
val red_sub : reds -> red_kind -> reds
(** Adds a reduction kind to a set *)
val red_add_transparent : reds -> transparent_state -> reds
(** Build a reduction set from scratch = iter [red_add] on [no_red] *)
val mkflags : red_kind list -> reds
(** Tests if a reduction kind is set *)
val red_set : reds -> red_kind -> bool
end
module RedFlags : RedFlagsSig
open RedFlags
val beta : reds
val betaiota : reds
val betadeltaiota : reds
val betaiotazeta : reds
val betadeltaiotanolet : reds
val unfold_side_red : reds
val unfold_red : evaluable_global_reference -> reds
(***********************************************************************)
type table_key = id_key
type 'a infos
val ref_value_cache: 'a infos -> table_key -> 'a option
val info_flags: 'a infos -> reds
val create: ('a infos -> constr -> 'a) -> reds -> env ->
(existential -> constr option) -> 'a infos
val evar_value : 'a infos -> existential -> constr option
(***********************************************************************
s Lazy reduction. *)
(** [fconstr] is the type of frozen constr *)
type fconstr
(** [fconstr] can be accessed by using the function [fterm_of] and by
matching on type [fterm] *)
type fterm =
| FRel of int
| FAtom of constr (** Metas and Sorts *)
| FCast of fconstr * cast_kind * fconstr
| FFlex of table_key
| FInd of inductive
| FConstruct of constructor
| FApp of fconstr * fconstr array
| FFix of fixpoint * fconstr subs
| FCoFix of cofixpoint * fconstr subs
| FCases of case_info * fconstr * fconstr * fconstr array
| FLambda of int * (name * constr) list * constr * fconstr subs
| FProd of name * fconstr * fconstr
| FLetIn of name * fconstr * fconstr * constr * fconstr subs
| FEvar of existential * fconstr subs
| FLIFT of int * fconstr
| FCLOS of constr * fconstr subs
| FLOCKED
(***********************************************************************
s A [stack] is a context of arguments, arguments are pushed by
[append_stack] one array at a time but popped with [decomp_stack]
one by one *)
type stack_member =
| Zapp of fconstr array
| Zcase of case_info * fconstr * fconstr array
| Zfix of fconstr * stack
| Zshift of int
| Zupdate of fconstr
and stack = stack_member list
val empty_stack : stack
val append_stack : fconstr array -> stack -> stack
val decomp_stack : stack -> (fconstr * stack) option
val array_of_stack : stack -> fconstr array
val stack_assign : stack -> int -> fconstr -> stack
val stack_args_size : stack -> int
val stack_tail : int -> stack -> stack
val stack_nth : stack -> int -> fconstr
val zip_term : (fconstr -> constr) -> constr -> stack -> constr
val eta_expand_stack : stack -> stack
(** To lazy reduce a constr, create a [clos_infos] with
[create_clos_infos], inject the term to reduce with [inject]; then use
a reduction function *)
val inject : constr -> fconstr
(** mk_atom: prevents a term from being evaluated *)
val mk_atom : constr -> fconstr
val fterm_of : fconstr -> fterm
val term_of_fconstr : fconstr -> constr
val destFLambda :
(fconstr subs -> constr -> fconstr) -> fconstr -> name * fconstr * fconstr
(** Global and local constant cache *)
type clos_infos
val create_clos_infos :
?evars:(existential->constr option) -> reds -> env -> clos_infos
(** Reduction function *)
(** [norm_val] is for strong normalization *)
val norm_val : clos_infos -> fconstr -> constr
(** [whd_val] is for weak head normalization *)
val whd_val : clos_infos -> fconstr -> constr
(** [whd_stack] performs weak head normalization in a given stack. It
stops whenever a reduction is blocked. *)
val whd_stack :
clos_infos -> fconstr -> stack -> fconstr * stack
(** Conversion auxiliary functions to do step by step normalisation *)
(** [unfold_reference] unfolds references in a [fconstr] *)
val unfold_reference : clos_infos -> table_key -> fconstr option
val eq_table_key : table_key -> table_key -> bool
(***********************************************************************
i This is for lazy debug *)
val lift_fconstr : int -> fconstr -> fconstr
val lift_fconstr_vect : int -> fconstr array -> fconstr array
val mk_clos : fconstr subs -> constr -> fconstr
val mk_clos_vect : fconstr subs -> constr array -> fconstr array
val mk_clos_deep :
(fconstr subs -> constr -> fconstr) ->
fconstr subs -> constr -> fconstr
val kni: clos_infos -> fconstr -> stack -> fconstr * stack
val knr: clos_infos -> fconstr -> stack -> fconstr * stack
val kl : clos_infos -> fconstr -> constr
val to_constr : (lift -> fconstr -> constr) -> lift -> fconstr -> constr
val optimise_closure : fconstr subs -> constr -> fconstr subs * constr
(** End of cbn debug section i*)
|
