2019•arXiv (Cornell University)Open access

A New Linear Time Correctness Condition for Multiplicative Linear Logic

Satoshi Matsuoka

Abstract

In this paper, we give a new linear time correctness condition for proof nets of Multiplicative Linear Logic without units. Our approach is based on a rewriting system over trees. We have only three rewrite rules. Compared with previous linear time correctness conditions, our system is surprisingly simple and intuitively appealing.

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Key concepts: Correctness, Linear logic, Multiplicative function, Rewriting, Simple (philosophy), Computer science, Time complexity, Linear temporal logic