A new correctness criterion for the proof nets of non-commutative multiplicative linear logics
Misao Nagayama, Mitsuhiro Okada · Journal of Symbolic Logic · 2001
Abstract. 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.