Non-commutative logic I: the multiplicative fragment

Annals of Pure and Applied Logic 101 (1):29-64 (1999)
We introduce proof nets and sequent calculus for the multiplicative fragment of non-commutative logic, which is an extension of both linear logic and cyclic linear logic. The two main technical novelties are a third switching position for the non-commutative disjunction, and the structure of order variety
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DOI 10.1016/S0168-0072(99)00014-7
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