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|
(* $Id$ *)
(*i*)
open Names
open Generic
open Term
open Univ
open Environ
open Closure
open Evd
(*i*)
(* Reduction Functions. *)
exception Redelimination
exception Induc
exception Elimconst
type 'a reduction_function = 'a unsafe_env -> constr -> constr
type 'a stack_reduction_function =
'a unsafe_env -> constr -> constr list -> constr * constr list
val whd_stack : 'a stack_reduction_function
(*s Reduction Function Operators *)
val under_casts : 'a reduction_function -> 'a reduction_function
val strong : 'a reduction_function -> 'a reduction_function
val strong_prodspine : 'a reduction_function -> 'a reduction_function
val stack_reduction_of_reduction :
'a reduction_function -> 'a stack_reduction_function
(*s Generic Optimized Reduction Functions using Closures *)
(* 1. lazy strategy *)
val clos_norm_flags : Closure.flags -> 'a reduction_function
(* Same as [(strong whd_beta[delta][iota])], but much faster on big terms *)
val nf_beta : 'a reduction_function
val nf_betaiota : 'a reduction_function
val nf_betadeltaiota : 'a reduction_function
(* 2. call by value strategy *)
val cbv_norm_flags : flags -> 'a reduction_function
val cbv_beta : 'a reduction_function
val cbv_betaiota : 'a reduction_function
val cbv_betadeltaiota : 'a reduction_function
(* 3. lazy strategy, weak head reduction *)
val whd_beta : 'a reduction_function
val whd_betaiota : 'a reduction_function
val whd_betadeltaiota : 'a reduction_function
val whd_beta_stack : 'a stack_reduction_function
val whd_betaiota_stack : 'a stack_reduction_function
val whd_betadeltaiota_stack : 'a stack_reduction_function
(*s Head normal forms *)
val whd_const_stack : section_path list -> 'a stack_reduction_function
val whd_const : section_path list -> 'a reduction_function
val whd_delta_stack : 'a stack_reduction_function
val whd_delta : 'a reduction_function
val whd_betadelta_stack : 'a stack_reduction_function
val whd_betadelta : 'a reduction_function
val whd_betadeltat_stack : 'a stack_reduction_function
val whd_betadeltat : 'a reduction_function
val whd_betadeltatiota_stack : 'a stack_reduction_function
val whd_betadeltatiota : 'a reduction_function
val whd_betadeltaiotaeta_stack : 'a stack_reduction_function
val whd_betadeltaiotaeta : 'a reduction_function
val beta_applist : (constr * constr list) -> constr
(*s Special-Purpose Reduction Functions *)
val whd_meta : 'a reduction_function
val plain_instance : 'a reduction_function
val instance : 'a reduction_function
val whd_ise : 'a reduction_function
val whd_ise1 : 'a reduction_function
val nf_ise1 : 'a reduction_function
val whd_ise1_metas : 'a reduction_function
val hnf_prod_app : 'c unsafe_env -> string -> constr -> constr -> constr
val hnf_prod_appvect :
'c unsafe_env -> string -> constr -> constr array -> constr
val hnf_prod_applist :
'c unsafe_env -> string -> constr -> constr list -> constr
val hnf_lam_app :
'c unsafe_env -> string -> constr -> constr -> constr
val hnf_lam_appvect :
'c unsafe_env -> string -> constr -> constr array -> constr
val hnf_lam_applist :
'c unsafe_env -> string -> constr -> constr list -> constr
val splay_prod : 'c unsafe_env -> constr -> (name * constr) list * constr
val decomp_prod : 'c unsafe_env -> constr -> int * constr
val decomp_n_prod :
'c unsafe_env -> int -> constr -> ((name * constr) list) * constr
val is_arity : 'c unsafe_env -> constr -> bool
val is_info_arity : 'c unsafe_env -> constr -> bool
val is_info_sort : 'c unsafe_env -> constr -> bool
val is_logic_arity : 'c unsafe_env -> constr -> bool
val is_type_arity : 'c unsafe_env -> constr -> bool
val is_info_type : 'c unsafe_env -> typed_type -> bool
val is_info_cast_type : 'c unsafe_env -> constr -> bool
val contents_of_cast_type : 'c unsafe_env -> constr -> contents
val poly_args : 'a unsafe_env -> constr -> int list
val whd_programs : 'a reduction_function
val unfoldn :
(int list * section_path) list -> 'a reduction_function
val fold_one_com : constr -> 'a reduction_function
val fold_commands : constr list -> 'a reduction_function
val subst_term_occ : int list -> constr -> constr -> constr
val pattern_occs : (int list * constr * constr) list -> 'a reduction_function
val compute : 'a reduction_function
(*s Conversion Functions (uses closures, lazy strategy) *)
type conv_pb =
| CONV
| CONV_LEQ
val pb_is_equal : conv_pb -> bool
val pb_equal : conv_pb -> conv_pb
type conversion_result =
| Convertible of universes
| NotConvertible
type conversion_test = universes -> conversion_result
val sort_cmp : conv_pb -> sorts -> sorts -> conversion_test
val base_sort_cmp : conv_pb -> sorts -> sorts -> bool
val bool_and_convert : bool -> conversion_test -> conversion_test
val convert_and : conversion_test -> conversion_test -> conversion_test
val convert_or : conversion_test -> conversion_test -> conversion_test
val convert_forall2 :
('a -> 'b -> conversion_test) -> 'a array -> 'b array -> conversion_test
type 'a conversion_function =
'a unsafe_env -> constr -> constr -> conversion_result
val fconv : conv_pb -> 'a conversion_function
(* [fconv] has 2 instances:
\begin{itemize}
\item [conv = fconv CONV] :
conversion test, and adjust universes constraints
\item [conv_leq = fconv CONV_LEQ] : cumulativity test, adjust universes
\end{itemize} *)
val conv : 'a conversion_function
val conv_leq : 'a conversion_function
val conv_forall2 :
'a conversion_function -> 'a unsafe_env
-> constr array -> constr array -> conversion_result
val conv_forall2_i :
(int -> 'a conversion_function) -> 'a unsafe_env
-> constr array -> constr array -> conversion_result
val is_conv : 'a unsafe_env -> constr -> constr -> bool
val is_conv_leq : 'a unsafe_env -> constr -> constr -> bool
(*s Obsolete Reduction Functions *)
val hnf : 'a unsafe_env -> constr -> constr * constr list
val apprec : 'a stack_reduction_function
val red_product : 'a reduction_function
val find_mrectype : 'a unsafe_env -> constr -> constr * constr list
val find_minductype : 'a unsafe_env -> constr -> constr * constr list
val find_mcoinductype : 'a unsafe_env -> constr -> constr * constr list
val check_mrectype_spec : 'a unsafe_env -> constr -> constr
val minductype_spec : 'a unsafe_env -> constr -> constr
val mrectype_spec : 'a unsafe_env -> constr -> constr
(* Special function, which keep the key casts under Fix and MutCase. *)
val strip_all_casts : constr -> constr
|
