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Journal of Logic and Computation Advance Access published online on March 13, 2008
Journal of Logic and Computation, doi:10.1093/logcom/exn005
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© The Author, 2008. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Original papers

Adding Intensional Machinery to Hybrid Logic

Torben Braüner

Programming, Logic and Intelligent Systems Research Group, Roskilde University, DK-4000 Roskilde, Denmark. E-mail: torben{at}ruc.dk


  Abstract

In this article we give an intensional version of first-order hybrid logic (which also can be viewed as a hybridized version of Fitting's First-Order Intensional Logic). We consider two different kinds of models—standard models and generalized models. The standard models are the same as Fitting's models for First-Order Intensional Logic. As the name suggests, the generalized models are more general. We give a natural deduction system which is completete with respect to generalized models. The natural deduction system is not complete with respect to standard models, but we show how to extend it with a further rule such that completeness with respect to standard models is obtained.

Keywords: Hybrid logic; modal logic; intensional logic; natural deduction


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