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A language for multiplicative-additive linear logic

J. R. B. Cockett·C. A. Pastro
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Abstract

A term calculus for the proofs in multiplicative-additive linear logic is introduced and motivated as a programming language for channel based concurrency. The term calculus is proved complete for a semantics in linearly distributive categories with additives. It is also shown that proof equivalence is decidable by showing that the cut elimination rewrites supply a confluent rewriting system modulo equations.

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J. R. B. Cockett, C. A. Pastro. 2004-04-16. A language for multiplicative-additive linear logic. https://arxiv.org/abs/math/0404286

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