Grätz, Lukas (2022)
Truth tables for modal logics T and S4, by using three-valued non-deterministic level semantics.
In: Journal of Logic and Computation, 32 (1)
doi: 10.1093/logcom/exab068
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
Novel three-valued non-deterministic level semantics for modal logics T and S4 are presented. A criterion for partial level valuations is given, making it possible to create truth tables. Additionally, semantics and truth tables for 0 (defined as PC plus rule of necessitation) and 0T with only two values are based on Ivlev’s work. We need Kearns’ notion of level valuations: a generalization of Dugundji’s theorem shows that there is no non-deterministic semantics for modal logics up to S5, containing the rule of necessitation.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2022 |
| Autor(en): | Grätz, Lukas |
| Art des Eintrags: | Bibliographie |
| Titel: | Truth tables for modal logics T and S4, by using three-valued non-deterministic level semantics |
| Sprache: | Englisch |
| Publikationsjahr: | Januar 2022 |
| Verlag: | Oxford University Press |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Journal of Logic and Computation |
| Jahrgang/Volume einer Zeitschrift: | 32 |
| (Heft-)Nummer: | 1 |
| DOI: | 10.1093/logcom/exab068 |
| Kurzbeschreibung (Abstract): | Novel three-valued non-deterministic level semantics for modal logics T and S4 are presented. A criterion for partial level valuations is given, making it possible to create truth tables. Additionally, semantics and truth tables for 0 (defined as PC plus rule of necessitation) and 0T with only two values are based on Ivlev’s work. We need Kearns’ notion of level valuations: a generalization of Dugundji’s theorem shows that there is no non-deterministic semantics for modal logics up to S5, containing the rule of necessitation. |
| Fachbereich(e)/-gebiet(e): | 20 Fachbereich Informatik 20 Fachbereich Informatik > Software Engineering |
| Hinterlegungsdatum: | 20 Jul 2022 07:24 |
| Letzte Änderung: | 07 Dez 2022 10:00 |
| PPN: | 502340061 |
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| Suche nach Titel in: | TUfind oder in Google |
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