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.