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|
(***********************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
(* \VV/ *************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(***********************************************************************)
(*i $Id$ i*)
(*i*)
open Names
open Term
open Univ
open Evd
open Environ
open Closure
(*i*)
(* Reduction Functions. *)
exception Elimconst
type state = constr * constr stack
type contextual_reduction_function = env -> evar_map -> constr -> constr
type reduction_function = contextual_reduction_function
type local_reduction_function = 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 = 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 = 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
(*s 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
(*s 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_betadeltaiota : reduction_function
val nf_evar : evar_map -> constr -> constr
(* 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_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_state : local_state_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
(*s 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_betaevar_stack : stack_reduction_function
val whd_betaevar_state : state_reduction_function
val whd_betaevar : reduction_function
val whd_betaiotaevar_stack : stack_reduction_function
val whd_betaiotaevar_state : state_reduction_function
val whd_betaiotaevar : 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 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_arity : env -> evar_map -> constr -> (name * constr) list * sorts
val sort_of_arity : env -> constr -> sorts
val decomp_n_prod :
env -> evar_map -> int -> constr -> Sign.rel_context * constr
val splay_prod_assum :
env -> evar_map -> constr -> Sign.rel_context * constr
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 is_info_type : env -> evar_map -> unsafe_type_judgment -> bool
val is_info_arity : env -> evar_map -> constr -> bool
(*i Pour l'extraction
val is_type_arity : env -> 'a evar_map -> constr -> bool
val is_info_cast_type : env -> 'a evar_map -> constr -> bool
val contents_of_cast_type : env -> 'a evar_map -> constr -> contents
i*)
val whd_programs : reduction_function
(* [reduce_fix] contracts a fix redex if it is actually reducible *)
type fix_reduction_result = NotReducible | Reduced of state
val fix_recarg : fixpoint -> constr stack -> (int * constr) option
val reduce_fix : local_state_reduction_function -> fixpoint
-> constr stack -> fix_reduction_result
(*s Conversion Functions (uses closures, lazy strategy) *)
type conversion_test = constraints -> constraints
type conv_pb =
| CONV
| CUMUL
val pb_is_equal : conv_pb -> bool
val pb_equal : conv_pb -> conv_pb
val sort_cmp : conv_pb -> sorts -> sorts -> conversion_test
val base_sort_cmp : conv_pb -> sorts -> sorts -> bool
type conversion_function =
env -> evar_map -> constr -> constr -> constraints
(* [fconv] has 2 instances: [conv = fconv CONV] i.e. conversion test, and
[conv_leq = fconv CONV_LEQ] i.e. cumulativity test. *)
val conv : conversion_function
val conv_leq : conversion_function
val conv_forall2 :
conversion_function -> env -> evar_map -> constr array
-> constr array -> constraints
val conv_forall2_i :
(int -> conversion_function) -> env -> evar_map
-> constr array -> constr array -> constraints
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
(*s Special-Purpose Reduction Functions *)
val whd_meta : (metavariable * constr) list -> constr -> constr
val plain_instance : (metavariable * constr) list -> constr -> constr
val instance : (metavariable * constr) list -> constr -> constr
(*s Obsolete Reduction Functions *)
(*i
val hnf : env -> 'a evar_map -> constr -> constr * constr list
i*)
val apprec : state_reduction_function
|
