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On a logic of involutive quantales
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 ruleMy notes
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References found in this work
Quantized linear logic, involutive quantales and strong negation.Norihiro Kamide - 2004 - Studia Logica 77 (3):355-384.
A Kripke semantics for the logic of Gelfand quantales.Gerard Allwein & Wendy MacCaull - 2001 - Studia Logica 68 (2):173-228.
Relational proof system for linear and other substructural logics.W. Maccaull - 1997 - Logic Journal of the IGPL 5 (5):673-697.
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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