On axiomatising products of Kripke frames

Ágnes Kurucz · Journal of Symbolic Logic · 2000

Abstract It is shown that the many-dimensional modal logicKn, determined by products ofn-many Kripke frames, is not finitely axiomatisable in then-modal language, for anyn> 2. On the other hand,Knis determined by a class of frames satisfying a single first-order sentence.

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