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arxiv: math/0404286 · v1 · submitted 2004-04-16 · 🧮 math.CT · math.LO

A language for multiplicative-additive linear logic

classification 🧮 math.CT math.LO
keywords calculuslanguagelinearlogicmultiplicative-additivetermadditivescategories
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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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