The McKinsey–Lemmon logic is barely canonical

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The McKinsey – Lemmon logic is barely canonical

We study a canonical modal logic introduced by Lemmon, and axiomatised by an infinite sequence of axioms generalising McKinsey’s formula. We prove that the class of all frames for this logic is not closed under elementary equivalence, and so is non-elementary. We also show that any axiomatisation of the logic involves infinitely many non-canonical formulas. MSC2000: 03B45.

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ژورنال

عنوان ژورنال: The Australasian Journal of Logic

سال: 2007

ISSN: 1448-5052

DOI: 10.26686/ajl.v5i0.1783