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|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
open Names
open Term
open Univ
open Evd
open Environ
open Closure
(** Reduction Functions. *)
exception Elimconst
(***********************************************************************
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 'a stack_member =
| Zapp of 'a list
| Zcase of case_info * 'a * 'a array
| Zfix of fixpoint * 'a list
| Zshift of int
| Zupdate of 'a
and 'a stack = 'a stack_member list
val empty_stack : 'a stack
val append_stack_app : 'a array -> 'a stack -> 'a stack
val append_stack_app_list : 'a list -> 'a stack -> 'a stack
val decomp_stack : 'a stack -> ('a * 'a stack) option
(** Takes the n first arguments of application put on the stack. Fails is the
stack does not start by n arguments of application. *)
val nfirsts_app_of_stack : int -> 'a stack -> 'a list
val list_of_app_stack : 'a stack -> 'a list
val array_of_app_stack : 'a stack -> 'a array
val stack_assign : 'a stack -> int -> 'a -> 'a stack
val stack_args_size : 'a stack -> int
val zip : constr * constr stack -> constr
val stack_tail : int -> 'a stack -> 'a stack
val stack_nth : 'a stack -> int -> 'a
(************************************************************************)
type state = constr * constr stack
type contextual_reduction_function = env -> evar_map -> constr -> constr
type reduction_function = contextual_reduction_function
type local_reduction_function = evar_map -> constr -> constr
type contextual_stack_reduction_function =
env -> evar_map -> constr -> constr * constr list
type stack_reduction_function = contextual_stack_reduction_function
type local_stack_reduction_function =
evar_map -> constr -> constr * constr list
type contextual_state_reduction_function =
env -> evar_map -> state -> state
type state_reduction_function = contextual_state_reduction_function
type local_state_reduction_function = evar_map -> state -> state
(** Removes cast and put into applicative form *)
val whd_stack : local_stack_reduction_function
(** For compatibility: alias for whd\_stack *)
val whd_castapp_stack : local_stack_reduction_function
(** {6 Reduction Function Operators } *)
val strong : reduction_function -> reduction_function
val local_strong : local_reduction_function -> local_reduction_function
val strong_prodspine : local_reduction_function -> local_reduction_function
(*i
val stack_reduction_of_reduction :
'a reduction_function -> 'a state_reduction_function
i*)
val stacklam : (state -> 'a) -> constr list -> constr -> constr stack -> 'a
(** {6 Generic Optimized Reduction Function using Closures } *)
val clos_norm_flags : Closure.RedFlags.reds -> reduction_function
(** Same as [(strong whd_beta[delta][iota])], but much faster on big terms *)
val nf_beta : local_reduction_function
val nf_betaiota : local_reduction_function
val nf_betaiotazeta : local_reduction_function
val nf_betadeltaiota : reduction_function
val nf_evar : evar_map -> constr -> constr
val nf_betaiota_preserving_vm_cast : reduction_function
(** Lazy strategy, weak head reduction *)
val whd_evar : evar_map -> constr -> constr
val whd_beta : local_reduction_function
val whd_betaiota : local_reduction_function
val whd_betaiotazeta : local_reduction_function
val whd_betadeltaiota : contextual_reduction_function
val whd_betadeltaiota_nolet : contextual_reduction_function
val whd_betaetalet : local_reduction_function
val whd_betalet : local_reduction_function
val whd_beta_stack : local_stack_reduction_function
val whd_betaiota_stack : local_stack_reduction_function
val whd_betaiotazeta_stack : local_stack_reduction_function
val whd_betadeltaiota_stack : contextual_stack_reduction_function
val whd_betadeltaiota_nolet_stack : contextual_stack_reduction_function
val whd_betaetalet_stack : local_stack_reduction_function
val whd_betalet_stack : local_stack_reduction_function
val whd_beta_state : local_state_reduction_function
val whd_betaiota_state : local_state_reduction_function
val whd_betaiotazeta_state : local_state_reduction_function
val whd_betadeltaiota_state : contextual_state_reduction_function
val whd_betadeltaiota_nolet_state : contextual_state_reduction_function
val whd_betaetalet_state : local_state_reduction_function
val whd_betalet_state : local_state_reduction_function
(** {6 Head normal forms } *)
val whd_delta_stack : stack_reduction_function
val whd_delta_state : state_reduction_function
val whd_delta : reduction_function
val whd_betadelta_stack : stack_reduction_function
val whd_betadelta_state : state_reduction_function
val whd_betadelta : reduction_function
val whd_betadeltaeta_stack : stack_reduction_function
val whd_betadeltaeta_state : state_reduction_function
val whd_betadeltaeta : reduction_function
val whd_betadeltaiotaeta_stack : stack_reduction_function
val whd_betadeltaiotaeta_state : state_reduction_function
val whd_betadeltaiotaeta : reduction_function
val whd_eta : constr -> constr
val whd_zeta : constr -> constr
(** Various reduction functions *)
val safe_evar_value : evar_map -> existential -> constr option
val beta_applist : constr * constr list -> constr
val hnf_prod_app : env -> evar_map -> constr -> constr -> constr
val hnf_prod_appvect : env -> evar_map -> constr -> constr array -> constr
val hnf_prod_applist : env -> evar_map -> constr -> constr list -> constr
val hnf_lam_app : env -> evar_map -> constr -> constr -> constr
val hnf_lam_appvect : env -> evar_map -> constr -> constr array -> constr
val hnf_lam_applist : env -> evar_map -> constr -> constr list -> constr
val splay_prod : env -> evar_map -> constr -> (name * constr) list * constr
val splay_lam : env -> evar_map -> constr -> (name * constr) list * constr
val splay_arity : env -> evar_map -> constr -> (name * constr) list * sorts
val sort_of_arity : env -> evar_map -> constr -> sorts
val splay_prod_n : env -> evar_map -> int -> constr -> rel_context * constr
val splay_lam_n : env -> evar_map -> int -> constr -> rel_context * constr
val splay_prod_assum :
env -> evar_map -> constr -> rel_context * constr
val decomp_sort : env -> evar_map -> types -> sorts
val is_sort : env -> evar_map -> types -> bool
type 'a miota_args = {
mP : constr; (** the result type *)
mconstr : constr; (** the constructor *)
mci : case_info; (** special info to re-build pattern *)
mcargs : 'a list; (** the constructor's arguments *)
mlf : 'a array } (** the branch code vector *)
val reducible_mind_case : constr -> bool
val reduce_mind_case : constr miota_args -> constr
val find_conclusion : env -> evar_map -> constr -> (constr,constr) kind_of_term
val is_arity : env -> evar_map -> constr -> bool
val whd_programs : reduction_function
(** [reduce_fix redfun fix stk] contracts [fix stk] if it is actually
reducible; the structural argument is reduced by [redfun] *)
type fix_reduction_result = NotReducible | Reduced of state
val fix_recarg : fixpoint -> constr stack -> (int * constr) option
val reduce_fix : local_state_reduction_function -> evar_map -> fixpoint
-> constr stack -> fix_reduction_result
(** {6 Querying the kernel conversion oracle: opaque/transparent constants } *)
val is_transparent : 'a tableKey -> bool
(** {6 Conversion Functions (uses closures, lazy strategy) } *)
type conversion_test = constraints -> constraints
val pb_is_equal : conv_pb -> bool
val pb_equal : conv_pb -> conv_pb
val sort_cmp : conv_pb -> sorts -> sorts -> conversion_test
val is_conv : env -> evar_map -> constr -> constr -> bool
val is_conv_leq : env -> evar_map -> constr -> constr -> bool
val is_fconv : conv_pb -> env -> evar_map -> constr -> constr -> bool
val is_trans_conv : transparent_state -> env -> evar_map -> constr -> constr -> bool
val is_trans_conv_leq : transparent_state -> env -> evar_map -> constr -> constr -> bool
val is_trans_fconv : conv_pb -> transparent_state -> env -> evar_map -> constr -> constr -> bool
(** {6 Special-Purpose Reduction Functions } *)
val whd_meta : evar_map -> constr -> constr
val plain_instance : (metavariable * constr) list -> constr -> constr
val instance :evar_map -> (metavariable * constr) list -> constr -> constr
val head_unfold_under_prod : transparent_state -> reduction_function
(** {6 Heuristic for Conversion with Evar } *)
val whd_betaiota_deltazeta_for_iota_state :
transparent_state -> state_reduction_function
(** {6 Meta-related reduction functions } *)
val meta_instance : evar_map -> constr freelisted -> constr
val nf_meta : evar_map -> constr -> constr
val meta_reducible_instance : evar_map -> constr freelisted -> constr
|
