On linear Brouwerian logics

Mathematical Logic Quarterly 60 (4-5):304-313 (2014)
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Abstract

We define a special family of Brouwerian logics determined by linearly ordered frames. Then we prove that all logics of this family have the finite model property and are Kripke complete.

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References found in this work

The Logics Containing S 4.3.Kit Fine - 1971 - Mathematical Logic Quarterly 17 (1):371-376.
That All Normal Extensions of S4.3 Have the Finite Model Property.R. A. Bull - 1966 - Mathematical Logic Quarterly 12 (1):341-344.
Kripke Incomplete Logics Containing KTB.Yutaka Miyazaki - 2007 - Studia Logica 85 (3):303-317.
Normal Modal Logics Contianing KTB with some Finiteness Conditions.Yutaka Miyazaki - 1998 - In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic. CSLI Publications. pp. 171-190.
On non‐compact logics in NEXT(KTB).Zofia Kostrzycka - 2008 - Mathematical Logic Quarterly 54 (6):617-624.

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