PhD thesis, 1964. In both cases we can reduce the oe redex in u and the L redex in v getting the same term. HOL oe is consistent. J. R. Hindley. The Church-Rosser Property and a Result in Combinatory Logic .
T is locally confluent if any local divergence ffi is contained in the joinability relation ffi .
A terminating relation is confluent iff it is locally confluent. For this reason we study confluence of the system in which the copy action is decomposed. Our aim is to show that R Gamma reduction is confluent. Hindley Rosen Lemma. In this paper we present a general criterion for abstract reduction systems from which confluence can be concluded.