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Original Paper
On a logic of involutive quantales
Article first published online: 28 SEP 2005
DOI: 10.1002/malq.200410049
Copyright © 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
1521-3870/asset/cover.gif?v=1&s=3df32dbed8d9153ac6eafe1eaa786854b9b48345 "Mathematical Logic Quarterly")
Additional Information
How to Cite
Kamide, N. (2005), On a logic of involutive quantales. Mathematical Logic Quarterly, 51: 579–585. doi: 10.1002/malq.200410049
Publication History
- Issue published online: 28 SEP 2005
- Article first published online: 28 SEP 2005
- Manuscript Accepted: 15 JUL 2005
- Manuscript Revised: 12 JUL 2005
- Manuscript Received: 1 JUN 2004
- Abstract
- References
- Cited By
Keywords:
- Involutive quantale;
- sequent calculus;
- MacCaull's logic
Abstract
The logic just corresponding to (non-commutative) involutive quantales, which was introduced by Wendy MacCaull, is reconsidered in order to obtain a cut-free sequent calculus formulation, and the completeness theorem (with respect to the involutive quantale model ) for this logic is proved using a new admissible rule. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)