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|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
open Term
open Environ
(***********************************************************************
s Reduction functions *)
val whd_betaiotazeta : env -> constr -> constr
val whd_betadeltaiota : env -> constr -> constr
val whd_betadeltaiota_nolet : env -> constr -> constr
val whd_betaiota : env -> constr -> constr
val nf_betaiota : env -> constr -> constr
(***********************************************************************
s conversion functions *)
exception NotConvertible
exception NotConvertibleVect of int
type 'a kernel_conversion_function = env -> 'a -> 'a -> unit
type 'a extended_conversion_function =
?l2r:bool -> ?reds:Names.transparent_state -> env ->
?evars:((existential->constr option) * UGraph.t) ->
'a -> 'a -> unit
type conv_pb = CONV | CUMUL
type 'a universe_compare =
{ (* Might raise NotConvertible *)
compare : env -> conv_pb -> sorts -> sorts -> 'a -> 'a;
compare_instances: flex:bool ->
Univ.Instance.t -> Univ.Instance.t -> 'a -> 'a;
}
type 'a universe_state = 'a * 'a universe_compare
type ('a,'b) generic_conversion_function = env -> 'b universe_state -> 'a -> 'a -> 'b
type 'a infer_conversion_function = env -> UGraph.t -> 'a -> 'a -> Univ.constraints
val sort_cmp_universes : env -> conv_pb -> sorts -> sorts ->
'a * 'a universe_compare -> 'a * 'a universe_compare
(* [flex] should be true for constants, false for inductive types and
constructors. *)
val convert_instances : flex:bool -> Univ.Instance.t -> Univ.Instance.t ->
'a * 'a universe_compare -> 'a * 'a universe_compare
val checked_universes : UGraph.t universe_compare
val inferred_universes : (UGraph.t * Univ.Constraint.t) universe_compare
val conv : constr extended_conversion_function
val conv_leq : types extended_conversion_function
(** These conversion functions are used by module subtyping, which needs to infer
universe constraints inside the kernel *)
val infer_conv : ?l2r:bool -> ?evars:(existential->constr option) ->
?ts:Names.transparent_state -> constr infer_conversion_function
val infer_conv_leq : ?l2r:bool -> ?evars:(existential->constr option) ->
?ts:Names.transparent_state -> types infer_conversion_function
val generic_conv : conv_pb -> l2r:bool -> (existential->constr option) ->
Names.transparent_state -> (constr,'a) generic_conversion_function
(** option for conversion *)
val set_vm_conv : (conv_pb -> types kernel_conversion_function) -> unit
val vm_conv : conv_pb -> types kernel_conversion_function
val default_conv : conv_pb -> ?l2r:bool -> types kernel_conversion_function
val default_conv_leq : ?l2r:bool -> types kernel_conversion_function
(************************************************************************)
(** Builds an application node, reducing beta redexes it may produce. *)
val beta_applist : constr -> constr list -> constr
(** Builds an application node, reducing beta redexes it may produce. *)
val beta_appvect : constr -> constr array -> constr
(** Builds an application node, reducing beta redexe it may produce. *)
val beta_app : constr -> constr -> constr
(** Pseudo-reduction rule Prod(x,A,B) a --> B[x\a] *)
val hnf_prod_applist : env -> types -> constr list -> types
(** Compatibility alias for Term.lambda_appvect_assum *)
val betazeta_appvect : int -> constr -> constr array -> constr
(***********************************************************************
s Recognizing products and arities modulo reduction *)
val dest_prod : env -> types -> Context.Rel.t * types
val dest_prod_assum : env -> types -> Context.Rel.t * types
val dest_lam_assum : env -> types -> Context.Rel.t * types
exception NotArity
val dest_arity : env -> types -> arity (* raises NotArity if not an arity *)
val is_arity : env -> types -> bool
|
