- Tytuł:
- Fractional-Valued Modal Logic and Soft Bilateralism
- Autorzy:
-
Piazza, Mario
Pulcini, Gabriele
Tesi, Matteo - Powiązania:
- https://bibliotekanauki.pl/articles/43181839.pdf
- Data publikacji:
- 2023
- Wydawca:
- Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
- Tematy:
-
modal logic
general proof theory (including proof-theoretic semantics)
many-valued logics - Opis:
- In a recent paper, under the auspices of an unorthodox variety of bilateralism, we introduced a new kind of proof-theoretic semantics for the base modal logic \(\mathbf{K}\), whose values lie in the closed interval \([0,1]\) of rational numbers [14]. In this paper, after clarifying our conception of bilateralism – dubbed “soft bilateralism” – we generalize the fractional method to encompass extensions and weakenings of \(\mathbf{K}\). Specifically, we introduce well-behaved hypersequent calculi for the deontic logic \(\mathbf{D}\) and the non-normal modal logics \(\mathbf{E}\) and \(\mathbf{M}\) and thoroughly investigate their structural properties.
- Źródło:
-
Bulletin of the Section of Logic; 2023, 52, 3; 275-299
0138-0680
2449-836X - Pojawia się w:
- Bulletin of the Section of Logic
- Dostawca treści:
- Biblioteka Nauki
Artykuł