Four-Valued Logics BD and DM4: Expansions

Bulletin of the Section of Logic 46 (1/2) (2017)
  Copy   BIBTEX

Abstract

The paper discusses functional properties of some four-valued logics which are the expansions of four-valued Belnap’s logic DM4. At first, we consider the logics with two designated values, and then logics defined by matrices having the same underlying algebra, but with a different choice of designated values, i.e. with one designated value. In the preceding literature both approaches were developed independently. Moreover, we present the lattices of the functional expansions of DM4.

Other Versions

No versions found

Links

PhilArchive

    This entry is not archived by us. If you are the author and have permission from the publisher, we recommend that you archive it. Many publishers automatically grant permission to authors to archive pre-prints. By uploading a copy of your work, you will enable us to better index it, making it easier to find.

    Upload a copy of this work     Papers currently archived: 102,964

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

Logics of upsets of De Morgan lattices.Adam Přenosil - forthcoming - Mathematical Logic Quarterly.
Nothing but the Truth.Andreas Pietz & Umberto Rivieccio - 2013 - Journal of Philosophical Logic 42 (1):125-135.

Analytics

Added to PP
2018-04-25

Downloads
29 (#805,899)

6 months
6 (#583,524)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Double Negation as Minimal Negation.Satoru Niki - 2023 - Journal of Logic, Language and Information 32 (5):861-886.

Add more citations

References found in this work

Nothing but the Truth.Andreas Pietz & Umberto Rivieccio - 2013 - Journal of Philosophical Logic 42 (1):125-135.
Algebraic semantics for modal logics I.E. J. Lemmon - 1966 - Journal of Symbolic Logic 31 (1):46-65.
A useful four-valued logic.N. D. Belnap - 1977 - In J. M. Dunn & G. Epstein (eds.), Modern Uses of Multiple-Valued Logic. D. Reidel.
Bilattices and the theory of truth.Melvin Fitting - 1989 - Journal of Philosophical Logic 18 (3):225 - 256.

View all 9 references / Add more references