BK-lattices. Algebraic Semantics for Belnapian Modal Logics

Studia Logica 100 (1-2):319-338 (2012)
  Copy   BIBTEX

Abstract

Earlier algebraic semantics for Belnapian modal logics were defined in terms of twist-structures over modal algebras. In this paper we introduce the class of BK -lattices, show that this class coincides with the abstract closure of the class of twist-structures, and it forms a variety. We prove that the lattice of subvarieties of the variety of BK -lattices is dually isomorphic to the lattice of extensions of Belnapian modal logic BK . Finally, we describe invariants determining a twist-structure over a modal algebra

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,168

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

The lattice of modal logics: An algebraic investigation.W. J. Blok - 1980 - Journal of Symbolic Logic 45 (2):221-236.
On the representation of n4-lattices.Sergei P. Odintsov - 2004 - Studia Logica 76 (3):385 - 405.
Free modal lattices via Priestley duality.Claudia B. Wegener - 2002 - Studia Logica 70 (3):339 - 352.
Kripke semantics for modal substructural logics.Norihiro Kamide - 2002 - Journal of Logic, Language and Information 11 (4):453-470.

Analytics

Added to PP
2012-02-08

Downloads
46 (#347,115)

6 months
12 (#218,039)

Historical graph of downloads
How can I increase my downloads?

References found in this work

An Introduction to Non-Classical Logic: From If to Is.Graham Priest - 2008 - New York: Cambridge University Press.
An Introduction to Non-Classical Logic: From If to Is.Graham Priest - 2008 - Bulletin of Symbolic Logic 14 (4):544-545.
Modal logic.Alexander Chagrov - 1997 - New York: Oxford University Press. Edited by Michael Zakharyaschev.
Modal Logic.Yde Venema, Alexander Chagrov & Michael Zakharyaschev - 2000 - Philosophical Review 109 (2):286.
Constructible falsity.David Nelson - 1949 - Journal of Symbolic Logic 14 (1):16-26.

View all 18 references / Add more references