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  Duality and Canonical Extensions of Bounded Distributive Lattices with Operators and Applications to the Semantics of Non-Classical Logics. Part I

Sofronie-Stokkermans, V. (2000). Duality and Canonical Extensions of Bounded Distributive Lattices with Operators and Applications to the Semantics of Non-Classical Logics. Part I. Studia Logica, 64(1), 93-132.

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Datensatz-Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-3427-D Versions-Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-3428-B
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Sofronie-Stokkermans, Viorica1, 2, Autor           
Affiliations:
1Automation of Logic, MPI for Informatics, Max Planck Society, ou_1116545              
2Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Zusammenfassung: The main goal of this paper is to explain the link between the algebraic and the Kripke-style models for certain classes of propositional logics. We start by presenting a Priestley-type duality for distributive lattices endowed with a general class of well-behaved operators. We then show that finitely-generated varieties of distributive lattices with operators are closed under canonical embedding algebras. The results are used in the second part of the paper to construct topological and non-topological Kripke-style models for logics that are sound and complete with respect to varieties of distributive lattices with operators in the above-mentioned classes.

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Sprache(n): eng - English
 Datum: 2010-03-122000
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: Expertenbegutachtung
 Identifikatoren: eDoc: 519893
Anderer: Local-ID: C1256104005ECAFC-C5B22D665572099A412566F6003DF8D1-Sofronie1997b
 Art des Abschluß: -

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Titel: Studia Logica
Genre der Quelle: Zeitschrift
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: 64 (1) Artikelnummer: - Start- / Endseite: 93 - 132 Identifikator: ISSN: 0039-3215