Mathematical Logic Quarterly 51 (6):579-585 (2005)

Abstract
The logic just corresponding to involutive quantales, which was introduced by Wendy MacCaull, is reconsidered in order to obtain a cut-free sequent calculus formulation, and the completeness theorem for this logic is proved using a new admissible rule
Keywords MacCaull's logic  sequent calculus  Involutive quantale
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DOI 10.1002/malq.200410049
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The Completeness of Linear Logic for Petri Net Models.K. Ishihara & K. Hiraishi - 2001 - Logic Journal of the IGPL 9 (4):549-567.

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