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Interpolation for first order S5

Published online by Cambridge University Press:  12 March 2014

Melvin Fitting
Melvin Fitting*
Affiliation:
Department of Mathematics and Computer Science, Lehman College (CUNY), Bronx, NY 10468., USA, E-mail: [email protected], URL: comet.lehman.cuny.edu/fitting
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Abstract

An interpolation theorem holds for many standard modal logics, but first order S5 is a prominent example of a logic for which it fails. In this paper it is shown that a first order S5 interpolation theorem can be proved provided the logic is extended to contain propositional quantifiers. A proper statement of the result involves some subtleties, but this is the essence of it.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 67 , Issue 2 , June 2002 , pp. 621 - 634
Copyright
Copyright © Association for Symbolic Logic 2002

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References

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