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A Sahlqvist theorem for relevant modal logics
Studia Logica 73 (3):383-411 (2003)
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 theoremOther Versions
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Citations of this work
A Relevant Framework for Barriers to Entailment.Yale Weiss - 2025 - Journal of Applied Logics 12 (5):1319-1347.
First-Order Relevant Reasoners in Classical Worlds.Nicholas Ferenz - 2024 - Review of Symbolic Logic 17 (3):793-818.
Tracking reasons with extensions of relevant logics.Shawn Standefer - 2019 - Logic Journal of the IGPL 27 (4):543-569.
References found in this work
The semantics of entailment II.Richard Routley & Robert K. Meyer - 1972 - Journal of Philosophical Logic 1 (1):53 - 73.
Algebraic analysis of entailment I.Robert K. Meyer & Richard Routley - 1972 - Logique Et Analyse 15 (59/60):407-428.
A new proof of Sahlqvist's theorem on modal definability and completeness.G. Sambin & V. Vaccaro - 1989 - Journal of Symbolic Logic 54 (3):992-999.
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