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Journal of Logic and Computation 2005 15(4):411-431; doi:10.1093/logcom/exi029
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Vol. 15 No. 4, © The Author, 2005. Published by Oxford University Press. All rights reserved.

Original Articles

Admissible Rules of Modal Logics

Emil Jerábek

Department of Philosophy, Utrecht University, Heidelberglaan 8, 3584 CS Utrecht, The Netherlands. E-mail: jerabek{at}math.cas.cz

We construct explicit bases of admissible rules for a representative class of normal modal logics (including the systems K4, GL, S4, Grz, and GL.3), by extending the methods of S. Ghilardi and R. Iemhoff. We also investigate the notion of admissible multiple conclusion rules.

Keywords: Modal logic, admissible rules, Kripke models, projective formulas

Received 4 January 2005.


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