- Tytuł:
- Modal Boolean Connexive Logics: Semantics and Tableau Approach
- Autorzy:
-
Jarmużek, Tomasz
Malinowski, Jacek - Powiązania:
- https://bibliotekanauki.pl/articles/749968.pdf
- Data publikacji:
- 2019
- Wydawca:
- Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
- Tematy:
-
Boolean connexive logics
connexive logic
modal Boolean connexive logics
modal logics
normal modal logics
possible worlds semantics
relatedness
relating logic
relating semantics
tableau methods - Opis:
- In this paper we investigate Boolean connexive logics in a language with modal operators: □, ◊. In such logics, negation, conjunction, and disjunction behave in a classical, Boolean way. Only implication is non-classical. We construct these logics by mixing relating semantics with possible worlds. This way, we obtain connexive counterparts of basic normal modal logics. However, most of their traditional axioms formulated in terms of modalities and implication do not hold anymore without additional constraints, since our implication is weaker than the material one. In the final section, we present a tableau approach to the discussed modal logics.
- Źródło:
-
Bulletin of the Section of Logic; 2019, 48, 3; 213-243
0138-0680
2449-836X - Pojawia się w:
- Bulletin of the Section of Logic
- Dostawca treści:
- Biblioteka Nauki
Artykuł