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|
(************************************************************************)
(* * The Coq Proof Assistant / The Coq Development Team *)
(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
(* <O___,, * (see CREDITS file for the list of authors) *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(* * (see LICENSE file for the text of the license) *)
(************************************************************************)
(*i*)
open Names
open Cic
open Esubst
open Environ
(*i*)
(* Flags for profiling reductions. *)
val stats : bool ref
val share : bool ref
val with_stats: 'a Lazy.t -> 'a
(*s 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 *)
(* 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
(* No reduction at all *)
val no_red : reds
(* Adds a reduction kind to a set *)
val red_add : reds -> red_kind -> 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 betadeltaiota : reds
val betaiotazeta : reds
val betadeltaiotanolet : reds
(***********************************************************************)
type table_key = Constant.t puniverses tableKey
type 'a infos
val ref_value_cache: 'a infos -> table_key -> 'a option
val create: ('a infos -> constr -> 'a) -> reds -> env -> 'a infos
(************************************************************************)
(*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 pinductive
| FConstruct of pconstructor
| FApp of fconstr * fconstr array
| FProj of Projection.t * fconstr
| FFix of fixpoint * fconstr subs
| FCoFix of cofixpoint * fconstr subs
| FCaseT of case_info * constr * fconstr * constr array * fconstr subs (* predicate and branches are closures *)
| FLambda of int * (Name.t * constr) list * constr * fconstr subs
| FProd of Name.t * fconstr * fconstr
| FLetIn of Name.t * fconstr * fconstr * constr * fconstr subs
| FEvar of existential_key * fconstr array
| 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
| ZcaseT of case_info * constr * constr array * fconstr subs
| Zproj of int * int * Projection.t
| Zfix of fconstr * stack
| Zshift of int
| Zupdate of fconstr
and stack = stack_member list
val append_stack : fconstr array -> stack -> stack
val stack_args_size : stack -> int
val eta_expand_stack : stack -> stack
val eta_expand_ind_stack : env -> inductive -> fconstr -> stack ->
(fconstr * stack) -> stack * stack
val unfold_projection : env -> Projection.t -> stack_member
(* 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
val fterm_of : fconstr -> fterm
val term_of_fconstr : fconstr -> constr
val destFLambda :
(fconstr subs -> constr -> fconstr) -> fconstr -> Name.t * fconstr * fconstr
(* Global and local constant cache *)
type clos_infos
val create_clos_infos : reds -> env -> clos_infos
val infos_env : clos_infos -> env
val infos_flags : clos_infos -> reds
val oracle_of_infos : clos_infos -> oracle
(* Reduction function *)
(* [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
(* [mind_equiv] checks whether two inductive types are intentionally equal *)
val mind_equiv_infos : clos_infos -> inductive -> inductive -> 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 to_constr : (lift -> fconstr -> constr) -> lift -> fconstr -> constr
(* End of cbn debug section i*)
|
