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A CUT-FREE SIMPLE SEQUENT CALCULUS FOR MODAL LOGIC S5

Published online by Cambridge University Press:  01 June 2008

FRANCESCA POGGIOLESI
FRANCESCA POGGIOLESI*
Affiliation:
University of Florence and University of Paris 1
*
*DEPARTMENT OF PHILOSOPHY, UNIVERSITY OF FLORENCE, 50139 FLORENCE, ITALY. E-mail: francesca.poggiolesi@unifi.it
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Abstract

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In this paper, we present a simple sequent calculus for the modal propositional logic S5. We prove that this sequent calculus is theoremwise equivalent to the Hilbert-style system S5, that it is contraction-free and cut-free, and finally that it is decidable. All results are proved in a purely syntactic way.

Type
Research Article
Information
The Review of Symbolic Logic , Volume 1 , Issue 1 , June 2008 , pp. 3 - 15
Copyright
Copyright © Association for Symbolic Logic 2008

References

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