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Linear Kripke frames and Gödel logics

Arnold Beckmann Orcid Logo, Norbert Preining

Journal of Symbolic Logic, Volume: 72, Issue: 1, Pages: 26 - 44

Swansea University Author: Arnold Beckmann Orcid Logo

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DOI (Published version): 10.2178/jsl/1174668382

Abstract

We investigate the relation between logics of countable linear Kripke frames with constant domains and Gödel logics. We show that for any such Kripke frame there is a Gödel logic which coincides with the logic of this Kripke frame and vice versa. This allows us to transfer several recent results on...

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Published in: Journal of Symbolic Logic
ISSN: 0022-4812
Published: 2007
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URI: https://cronfa.swan.ac.uk/Record/cronfa13718
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Abstract: We investigate the relation between logics of countable linear Kripke frames with constant domains and Gödel logics. We show that for any such Kripke frame there is a Gödel logic which coincides with the logic of this Kripke frame and vice versa. This allows us to transfer several recent results on Gödel logics to the logics of countable linear Kripke frames with constant domains.
College: Faculty of Science and Engineering
Issue: 1
Start Page: 26
End Page: 44