A Sahlqvist theorem for relevant modal logics

Studia Logica 73 (3):383-411 (2003)
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Abstract

Kripke-completeness of every classical modal logic with Sahlqvist formulas is one of the basic general results on completeness of classical modal logics. This paper shows a Sahlqvist theorem for modal logic over the relevant logic Bin terms of Routley- Meyer semantics. It is shown that usual Sahlqvist theorem for classical modal logics can be obtained as a special case of our theorem

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References found in this work

Algebraic analysis of entailment I.Robert K. Meyer & Richard Routley - 1972 - Logique Et Analyse 15 (59/60):407-428.
Models for relevant modal logics.André Fuhrmann - 1990 - Studia Logica 49 (4):501 - 514.
General Frames for Relevant Modal Logics.Takahiro Seki - 2003 - Notre Dame Journal of Formal Logic 44 (2):93-109.
The semantics ofr.Edwin D. Mares & Robert K. Meyer - 1993 - Journal of Philosophical Logic 22 (1):95 - 110.
The Semantic Completeness Of Rk.Edwin Mares - 1992 - Reports on Mathematical Logic:3-10.

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