Note on a six-valued extension of three-valued logic

Journal of Applied Non-Classical Logics 3 (2):173-187 (1993)
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Abstract

ABSTRACT In this paper we introduce a set of six logical values, arising in the application of three-valued logics to time intervals, find its algebraic structure, and use it to define a six-valued logic. We then prove, by using algebraic properties of the class of De Morgan algebras, that this semantically defined logic can be axiomatized as Belnap's ?useful? four-valued logic. Other directions of research suggested by the construction of this set of six logical values are described

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Citations of this work

The value of the four values.Ofer Arieli & Arnon Avron - 1998 - Artificial Intelligence 102 (1):97-141.
Characterizing Belnap's Logic via De Morgan's Laws.Alexej P. Pynko - 1995 - Mathematical Logic Quarterly 41 (4):442-454.
Knowledge, Uncertainty and Ignorance in Logic: Bilattices and beyond.George Gargov - 1999 - Journal of Applied Non-Classical Logics 9 (2-3):195-283.
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References found in this work

Fuzzy logic and approximate reasoning.L. A. Zadeh - 1975 - Synthese 30 (3-4):407-428.
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Temporal logic.Nicholas Rescher - 1971 - New York,: Springer Verlag. Edited by Alasdair Urquhart.
Temporal Logic.Nicholas Rescher & Alasdair Urquhart - 1971 - Philosophy of Science 42 (1):100-103.

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