On Axiomatising Products of Kripke Frames

Journal of Symbolic Logic 65 (2):923-945 (2000)
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Abstract

It is shown that the many-dimensional modal logic K$^n$, determined by products of n-many Kripke frames, is not finitely axiomatisable in the n-modal language, for any $n > 2$. On the other hand, K$^n$ is determined by a class of frames satisfying a single first-order sentence.

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Citations of this work

On modal logics between K × K × K and s5 × s5 × S.R. Hirsch, I. Hodkinson & A. Kurucz - 2002 - Journal of Symbolic Logic 67 (1):221-234.
An extension of Kracht's theorem to generalized Sahlqvist formulas.Stanislav Kikot - 2009 - Journal of Applied Non-Classical Logics 19 (2):227-251.
On the Complexity of Modal Axiomatisations over Many-dimensional Structures.Agi Kurucz - 1998 - In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic. CSLI Publications. pp. 256-270.
On axiomatisting products of Kripke frames, part II.Agi Kurucz - 1998 - In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic. CSLI Publications. pp. 219-230.
Semantic Characterization of Krancht Formulas.Stanislav Kikot - 1998 - In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic. CSLI Publications. pp. 218-234.

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