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arXiv · 2207.10871

Elimination and cut-elimination in multiplicative linear logic

Daniel Murfet·William Troiani
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Abstract

We associate to every proof structure in multiplicative linear logic an ideal which represents the logical content of the proof as polynomial equations. We show how cut-elimination in multiplicative proof nets corresponds to instances of the Buchberger algorithm for computing Gr\"obner bases in elimination theory.

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Daniel Murfet, William Troiani. 2022-07-22. Elimination and cut-elimination in multiplicative linear logic. https://arxiv.org/abs/2207.10871

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