An Algebraic Approach to Subframe Logics. Modal Case

Notre Dame Journal of Formal Logic 52 (2):187-202 (2011)
  Copy   BIBTEX

Abstract

We prove that if a modal formula is refuted on a wK4-algebra ( B ,□), then it is refuted on a finite wK4-algebra which is isomorphic to a subalgebra of a relativization of ( B ,□). As an immediate consequence, we obtain that each subframe and cofinal subframe logic over wK4 has the finite model property. On the one hand, this provides a purely algebraic proof of the results of Fine and Zakharyaschev for K4 . On the other hand, it extends the Fine-Zakharyaschev results to wK4

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 90,616

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.

Analytics

Added to PP
2011-04-29

Downloads
27 (#506,730)

6 months
3 (#445,838)

Historical graph of downloads
How can I increase my downloads?

References found in this work

The Algebra of Topology.J. C. C. Mckinsey & Alfred Tarski - 1944 - Annals of Mathematics, Second Series 45:141-191.
Logics containing k4. part I.Kit Fine - 1974 - Journal of Symbolic Logic 39 (1):31-42.
Logics containing k4. part II.Kit Fine - 1985 - Journal of Symbolic Logic 50 (3):619-651.
Topology and duality in modal logic.Giovanni Sambin & Virginia Vaccaro - 1988 - Annals of Pure and Applied Logic 37 (3):249-296.

View all 9 references / Add more references