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Modal Boolean Connexive Logics: Semantics and Tableau Approach

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Jarmużek T., Malinowski J.

Bulletin of the Section of Logic

2019

tom 48

nr 3

213-243

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.

Ograniczanie wyników

1 Bulletin of the Section of Logic

1 Jarmużek T.

1 Malinowski J.

1 2019

Wyniki wyszukiwania

Modal Boolean Connexive Logics: Semantics and Tableau Approach