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Original Paper
New sequent calculi for Visser's Formal Propositional Logic
Article first published online: 3 JUL 2003
DOI: 10.1002/malq.200310056
Copyright © 2003 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
1521-3870/asset/cover.gif?v=1&s=3df32dbed8d9153ac6eafe1eaa786854b9b48345 "Mathematical Logic Quarterly")
Additional Information
How to Cite
Ishii, K. (2003), New sequent calculi for Visser's Formal Propositional Logic. Mathematical Logic Quarterly, 49: 525–535. doi: 10.1002/malq.200310056
Publication History
- Issue published online: 3 JUL 2003
- Article first published online: 3 JUL 2003
- Manuscript Accepted: 5 MAY 2003
- Manuscript Revised: 2 MAY 2003
- Manuscript Received: 23 OCT 2002
- Abstract
- References
- Cited By
Keywords:
- Formal Propositional Logic;
- sequent calculus;
- cut-elimination theorem;
- interpolation theorem
Abstract
Two cut-free sequent calculi which are conservative extensions of Visser's Formal Propositional Logic (FPL) are introduced. These satisfy a kind of subformula property and by this property the interpolation theorem for FPL are proved. These are analogies to Aghaei-Ardeshir's calculi for Visser's Basic Propositional Logic.