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arXiv · 1601.05372

Coherence for Frobenius pseudomonoids and the geometry of linear proofs

Lawrence Dunn·Jamie Vicary
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Abstract

We prove coherence theorems for Frobenius pseudomonoids and snakeorators in monoidal bicategories. As a consequence we obtain a 3d notation for proofs in nonsymmetric multiplicative linear logic, with a geometrical notion of equivalence, and without the need for a global correctness criterion or thinning links. We argue that traditional proof nets are the 2d projections of these 3d diagrams.

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Lawrence Dunn, Jamie Vicary. 2016-01-20. Coherence for Frobenius pseudomonoids and the geometry of linear proofs. https://doi.org/10.23638/lmcs-15(3%3A5)2019

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