Swap structures semantics for Ivlev-like modal logics

Soft Computing 23 (7):2243-2254 (2019)
  Copy   BIBTEX

Abstract

In 1988, J. Ivlev proposed some (non-normal) modal systems which are semantically characterized by four-valued non-deterministic matrices in the sense of A. Avron and I. Lev. Swap structures are multialgebras (a.k.a. hyperalgebras) of a special kind, which were introduced in 2016 by W. Carnielli and M. Coniglio in order to give a non-deterministic semantical account for several paraconsistent logics known as logics of formal inconsistency, which are not algebraizable by means of the standard techniques. Each swap structure induces naturally a non-deterministic matrix. The aim of this paper is to obtain a swap structures semantics for some Ivlev-like modal systems proposed in 2015 by M. Coniglio, L. Fariñas del Cerro and N. Peron. Completeness results will be stated by means of the notion of Lindenbaum–Tarski swap structures, which constitute a natural generalization to multialgebras of the concept of Lindenbaum–Tarski algebras.

Links

PhilArchive

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Dugundji’s Theorem Revisited.Marcelo E. Coniglio & Newton M. Peron - 2014 - Logica Universalis 8 (3-4):407-422.
Modal Logic and Universal Algebra I: Modal Axiomatizations of Structures.Valentin Goranko & Dimiter Vakarelov - 1998 - In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic. CSLI Publications. pp. 265-292.
Restricted Classical Modal Logics.Cezar Mortari - 2007 - Logic Journal of the IGPL 15 (5-6):741-757.
Non-deterministic algebras and algebraization of logics.Ana Claudia Golzio & Marcelo E. Coniglio - 2015 - Filosofia da Linguagem E da Lógica (Philosophy of Language and Philosophy of Logic, in Portuguese).

Analytics

Added to PP
2019-02-12

Downloads
376 (#50,884)

6 months
70 (#61,027)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Marcelo E. Coniglio
University of Campinas