Coherence in Modal Logic

Tomasz Kowalski; George Metcalfe

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arXiv · 1902.02540

Coherence in Modal Logic

Tomasz Kowalski·George Metcalfe

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Abstract

A variety is said to be coherent if the finitely generated subalgebras of its finitely presented members are also finitely presented. In a recent paper by the authors it was shown that coherence forms a key ingredient of the uniform deductive interpolation property for equational consequence in a variety, and a general criterion was given for the failure of coherence (and hence uniform deductive interpolation) in varieties of algebras with a term-definable semilattice reduct. In this paper, a more general criterion is obtained and used to prove the failure of coherence and uniform deductive interpolation for a broad family of modal logics, including K, KT, K4, and S4.

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BibTeX RIS

Tomasz Kowalski, George Metcalfe. 2019-02-07. Coherence in Modal Logic. https://arxiv.org/abs/1902.02540

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