A General Lindström Theorem for Some Normal Modal Logics

Logica Universalis 7 (2):233-264 (2013)
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Abstract

There are several known Lindström-style characterization results for basic modal logic. This paper proves a generic Lindström theorem that covers any normal modal logic corresponding to a class of Kripke frames definable by a set of formulas called strict universal Horn formulas. The result is a generalization of a recent characterization of modal logic with the global modality. A negative result is also proved in an appendix showing that the result cannot be strengthened to cover every first-order elementary class of frames. This is shown by constructing an explicit counterexample

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References found in this work

Model-Theoretic Logics.Jon Barwise & Solomon Feferman - 2017 - Cambridge University Press.
[Introduction].Wilfrid Hodges - 1988 - Journal of Symbolic Logic 53 (1):1.
[Introduction].Wilfrid Hodges - 1986 - Journal of Symbolic Logic 51 (4):865.

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