Journal of Symbolic Logic 66 (4):1524-1542 (2001)

This paper presents a new correctness criterion for marked Danos-Reginer graphs (D-R graphs, for short) of Multiplicative Cyclic Linear Logic MCLL and Abrusci's non-commutative Linear Logic MNLL. As a corollary we obtain an affirmative answer to the open question whether a known quadratic-time algorithm for the correctness checking of proof nets for MCLL and MNLL can be improved to linear-time
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DOI 10.2307/2694960
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References found in this work BETA

The Structure of Multiplicatives.Vincent Danos & Laurent Regnier - 1989 - Archive for Mathematical Logic 28 (3):181-203.
Non-Commutative Logic I: The Multiplicative Fragment.V. Michele Abrusci & Paul Ruet - 1999 - Annals of Pure and Applied Logic 101 (1):29-64.

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A Topological Correctness Criterion for Non-Commutative Logic.Paul-André Mellies - 2004 - In Thomas Ehrhard (ed.), Linear Logic in Computer Science. Cambridge University Press. pp. 283--323.

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