(* *)
(**************************************************************************)
-set "baseuri" "cic:/matita/LOGIC/PNF/defs".
-(* NORMAL FORM PREDICATE FOR PARALLEL REDUCTION
+
+(* NORMAL FORM PREDICATE FOR PROOFS IN CONTEXT
+ For cut elimination
*)
+include "PEq/defs.ma".
include "PRed/defs.ma".
-(*
-inductive PNF: Proof \to Prop \def
- | pnf: \forall p. (\forall q. p => q \to p = q) \to PNF p
+
+inductive PNF (P:Context) (p:Proof): Prop \def
+ | pnf: (\forall q,Q,S. [P, p, S] => [Q, q, S] \to [P, p] = [Q, q]) \to
+ PNF P p
.
-*)