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+(************************************************************************)
+(* v * The Coq Proof Assistant / The Coq Development Team *)
+(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
+(* \VV/ **************************************************************)
+(* // * This file is distributed under the terms of the *)
+(* * GNU Lesser General Public License Version 2.1 *)
+(************************************************************************)
+
+(*i $Id: reduction.mli 7639 2005-12-02 10:01:15Z gregoire $ i*)
+
+(*i*)
+open Term
+open Environ
+(*i*)
+
+(************************************************************************)
+(*s Reduction functions *)
+
+val whd_betaiotazeta : env -> constr -> constr
+val whd_betadeltaiota : env -> constr -> constr
+val whd_betadeltaiota_nolet : env -> constr -> constr
+
+(************************************************************************)
+(*s conversion functions *)
+
+exception NotConvertible
+exception NotConvertibleVect of int
+type 'a conversion_function = env -> 'a -> 'a -> unit
+
+type conv_pb = CONV | CUMUL
+
+val conv : constr conversion_function
+val conv_leq : constr conversion_function
+val conv_leq_vecti : constr array conversion_function
+
+val vm_conv : conv_pb -> constr conversion_function
+
+(************************************************************************)
+
+(* Builds an application node, reducing beta redexes it may produce. *)
+val beta_appvect : constr -> constr array -> constr
+
+(* Pseudo-reduction rule Prod(x,A,B) a --> B[x\a] *)
+val hnf_prod_applist : env -> constr -> constr list -> constr
+
+
+(************************************************************************)
+(*s Recognizing products and arities modulo reduction *)
+
+val dest_prod : env -> constr -> rel_context * constr
+val dest_prod_assum : env -> constr -> rel_context * constr
+
+val dest_arity : env -> constr -> arity
+val is_arity : env -> constr -> bool