Prefinitely axiomatizable modal and intermediate logics

Mathematical Logic Quarterly 39 (1):301-322 (1993)

Abstract

A logic Λ bounds a property P if all proper extensions of Λ have P while Λ itself does not. We construct logics bounding finite axiomatizability and logics bounding finite model property in the lattice of intermediate logics and in the lattice of normal extensions of K4.3. MSC: 03B45, 03B55

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References found in this work

An Ascending Chain of S4 Logics.Kit Fine - 1974 - Theoria 40 (2):110-116.
Klassische und nichtklassische Aussagenlogik.Wolfgang Rautenberg - 1980 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 11 (2):405-407.
Bounded Properties in Modal Logic.George F. Schumm - 1981 - Mathematical Logic Quarterly 27 (13‐14):197-200.

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Citations of this work

Canonical Formulas for Wk4.Guram Bezhanishvili & Nick Bezhanishvili - 2012 - Review of Symbolic Logic 5 (4):731-762.
Nick Bezhanishvili.Ian Hodkinson - 2004 - Studia Logica 78 (3):443-457.

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