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Normal monomodal logics can simulate all others

Published online by Cambridge University Press:  12 March 2014

Marcus Kracht  and
Frank Wolter
Marcus Kracht
Affiliation:
II. Mathematisches Institut, Freie Universität Berlin, Arnimallee 3, D-14195 Berlin, Germany, E-mail: kracht@math.fu-berlin.de
Frank Wolter
Affiliation:
Japan Advanced Institute of Science and Technology (JAIST), Ishikawa 923-12., Japan, E-mail: wolter@jaist.ac.jp
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Abstract

This paper shows that non-normal modal logics can be simulated by certain polymodal normal logics and that polymodal normal logics can be simulated by monomodal (normal) logics. Many properties of logics are shown to be reflected and preserved by such simulations. As a consequence many old and new results in modal logic can be derived in a straightforward way, sheding new light on the power of normal monomodal logic.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 64 , Issue 1 , March 1999 , pp. 99 - 138
Copyright
Copyright © Association for Symbolic Logic 1999

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