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Hereditarily structurally complete modal logics

Published online by Cambridge University Press:  12 March 2014

V. V. Rybakov
V. V. Rybakov*
Affiliation:
Department of Mathematics, University of Krasnoyarsk, Av. Svobodnyi 79, Krasnoyarsk, 660-062, Russia, E-mail: rybakov@kgu.krasnoyarsk.su
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Abstract

We consider structural completeness in modal logics. The main result is the necessary and sufficient condition for modal logics over K4 to be hereditarily structurally complete: a modal logic λ is hereditarily structurally complete iff λ is not included in any logic from the list of twenty special tabular logics. Hence there are exactly twenty maximal structurally incomplete modal logics above K4 and they are all tabular.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 60 , Issue 1 , March 1995 , pp. 266 - 288
Copyright
Copyright © Association for Symbolic Logic 1995

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