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Journal of Logic and Computation Advance Access published online on June 26, 2009
Journal of Logic and Computation, doi:10.1093/logcom/exp034
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© The Author, 2009. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Original Papers

On the Density of Truth of Locally Finite Logics

Zofia Kostrzycka

Department of Mathematics and Applied Computer Science, University of Technology, Luboszycka 3, 45-036 Opole, Poland.
E-mail: z.kostrzycka{at}po.opole.pl

Received 1 September 2008.


  Abstract

We prove that the density of truth exists for a large class of locally finite (locally tabular) propositional logics. We are primarily interested in classical and intuitionistic logic and show that their implicational fragments have the same density. There are also given some locally finite logics without the density of truth.

Keywords: Density of truth; locally finite logics; the Lindenbaum algebras; intuitionistic logic; the Drmota–Lalley–Woods theorem


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