DOAJ Open Access 2023

Fractional-Valued Modal Logic and Soft Bilateralism

Mario Piazza Gabriele Pulcini Matteo Tesi

Abstrak

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.

Topik & Kata Kunci

Logic

Penulis (3)

Mario Piazza

Gabriele Pulcini

Matteo Tesi

Format Sitasi

APA MLA BibTeX

Piazza, M., Pulcini, G., Tesi, M. (2023). Fractional-Valued Modal Logic and Soft Bilateralism. https://doi.org/10.18778/0138-0680.2023.17

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.18778/0138-0680.2023.17
Akses: Open Access ✓