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Interpolation for extended modal languages

Published online by Cambridge University Press:  12 March 2014

Balder ten Cate
Balder ten Cate*
Affiliation:
Institute for Logic, Language and Computation, University of Amsterdam, Nieuwe Doelenstraat 15, 1012CP Amsterdam, Netherlands, E-mail: [email protected]
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Abstract

Several extensions of the basic modal language are characterized in terms of interpolation. Our main results are of the following form: Language L′ is the least expressive extension of L with interpolation. For instance, let ℳ(D) be the extension of the basic modal language with a difference operator [7], First-order logic is the least expressive extension of ℳ(D) with interpolation. These characterizations are subsequently used to derive new results about hybrid logic, relation algebra and the guarded fragment.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 70 , Issue 1 , March 2005 , pp. 223 - 234
Copyright
Copyright © Association for Symbolic Logic 2005

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