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Church-Rosser Made Easy

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Abstract

The Church-Rosser theorem states that the lambda-calculus is confluent under alpha- and beta-reductions. The standard proof of this result is due to Tait and Martin-Loef. In this note, we present an alternative proof based on the notion of acceptable orderings. The technique is easily modified to give confluence of the beta-eta-calculus.

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National Science Foundation CCF-0635028

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2010-02-05T21:27:36Z

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lambda-calculus; Church-Rosser theorem

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