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Journal of Logic and Computation 2006 16(2):177-197; doi:10.1093/logcom/exi056
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Vol. 16 No. 2, © The Author, 2006. Published by Oxford University Press. All rights reserved.

Original Articles

Transfer Results for Hybrid Logic. Part I: The Case Without Satisfaction Operators

Nick Bezhanishvili1 and Balder Ten Cate2

1 ILLC, Universiteit van Amsterdam, Plantage, Muidergracht 24, 1018TV Amsterdam, The Netherlands. Email: nbezhani{at}science.uva.nl, 2 ISLA, Universiteit van Amsterdam, Kruislaan 403, 1098SJ, Amsterdam, The Netherlands. Email: balder.tencate{at}uva.nl

We define for every Kripke complete modal logic L its hybrid companion LH and investigate which properties transfer from L to LH. For a specific class of logics, we present a satisfiability-preserving translation from LH to L. We prove that for this class of logics, complexity, (uniform) interpolation, and finite axiomatization transfer from L to LH. We also provide examples showing that, in general, none of complexity, decidability, the finite model property or the Beth property transfer.

Keywords: Hybrid logic, modal logic, nominals, transfer

Received 23 December 2004.


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