Confluency property of the call-by-value $\lambda\mu^{\wedge \vee}$-calculus

Abstract

In this paper, we introduce the $\lambda\mu^{\wedge \vee}$- call-by-value calculus and we give a proof of the Church-Rosser property of this system. This proof is an adaptation of that of Andou which uses an extended parallel reduction method and complete development.