Fractional-Valued Modal Logic and Soft Bilateralism
| Autor: | Mario Piazza, Gabriele Pulcini, Matteo Tesi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Bulletin of the Section of Logic, Vol 52, Iss 3, Pp 275-299 (2023) |
| Druh dokumentu: | article |
| ISSN: | 0138-0680 2449-836X |
| DOI: | 10.18778/0138-0680.2023.17 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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