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arXiv · 1609.04693

MALL proof nets identify proofs modulo rule commutation

Rob van Glabbeek·Dominic Hughes
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Abstract

We show that the proof nets introduced in [Hughes & van Glabbeek 2003, 2005] for MALL (Multiplicative Additive Linear Logic, without units) identify cut-free proofs modulo rule commutation: two cut-free proofs translate to the same proof net if and only if one can be obtained from the other by a succession of rule commutations. This result holds with and without the mix rule, and we extend it with cut.

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Rob van Glabbeek, Dominic Hughes. 2016-09-15. MALL proof nets identify proofs modulo rule commutation. https://arxiv.org/abs/1609.04693

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