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Upward confluence in the interaction calculus

06/19/2018

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by Anton Salikhmetov, et al.

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The lambda calculus is not upward confluent, one of counterexamples being known thanks to Plotkin. This paper explores upward confluence in the interaction calculus. Can an interaction system have this property? We positively answer this question and even provide sufficient conditions for stronger one-step upward confluence.

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