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Non-commutative logic I: the multiplicative fragment
Annals of Pure and Applied Logic 101 (1):29-64 (1999)
Abstract
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 varietyAuthor's Profile
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Citations of this work
Proof Theory for Fuzzy Logics.George Metcalfe, Nicola Olivetti & Dov M. Gabbay - 2008 - Dordrecht, Netherland: Springer.
A logical calculus for controlled monotonicity.Marcello D'Agostino, Mario Piazza & Gabriele Pulcini - 2014 - Journal of Applied Logic 12 (4):558-569.
Contrary-to-Duty Reasoning: A Categorical Approach.Clayton Peterson - 2015 - Logica Universalis 9 (1):47-92.
On Vidal's trivalent explanations for defective conditional in mathematics.Yaroslav Petrukhin & Vasily Shangin - 2019 - Journal of Applied Non-Classical Logics 29 (1):64-77.
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