Frame based formulas for intermediate logics

Studia Logica 90 (2):139 - 159 (2008)
In this paper we define the notion of frame based formulas. We show that the well-known examples of formulas arising from a finite frame, such as the Jankov-de Jongh formulas, subframe formulas and cofinal subframe formulas, are all particular cases of the frame based formulas. We give a criterion for an intermediate logic to be axiomatizable by frame based formulas and use this criterion to obtain a simple proof that every locally tabular intermediate logic is axiomatizable by Jankov-de Jongh formulas. We also show that not every intermediate logic is axiomatizable by frame based formulas.
Keywords Philosophy   Computational Linguistics   Mathematical Logic and Foundations   Logic
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References found in this work BETA
Marcus Kracht (1993). Splittings and the Finite Model Property. Journal of Symbolic Logic 58 (1):139-157.
Kit Fine (1974). Logics Containing K4. Part I. Journal of Symbolic Logic 39 (1):31-42.

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