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Incompleteness results in Kripke semantics

Published online by Cambridge University Press:  12 March 2014

Silvio Ghilardi
Silvio Ghilardi*
Affiliation:
Dipartimento di Matematica, Università Degli Studi di Milano, 20133 Milano, Italy
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Abstract

By means of models in toposes of C-sets (where C is a small category), necessary conditions are found for the minimum quantified extension of a propositional (intermediate, modal) logic to be complete with respect to Kripke semantics; in particular, many well-known systems turn out to be incomplete.

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Type
Research Article
Information
The Journal of Symbolic Logic , Volume 56 , Issue 2 , June 1991, pp. 517 - 538
Copyright
Copyright © Association for Symbolic Logic 1991

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References

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