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Title: | Note on a six-valued extension of three valued logic |
Author: | Font, Josep M. Moussavi, Massoud |
Keywords: | Lògica matemàtica Lògica algebraica Teoria dels reticles Intel·ligència artificial Universitat de Barcelona. Institut de Matemàtica |
Issue Date: | 1990 |
Publisher: | Universitat de Barcelona |
Series/Report no: | Mathematics Preprint Series; 86 |
Abstract: | In this paper we introduce a set of six logical values, which arises 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. |
Note: | Preprint enviat per a la seva publicació en una revista científica: Journal of Applied Non-Classical Logics. Volume 3, 1993 - Issue 2, pp:173-187. [https://doi.org/10.1080/11663081.1993.10510806] |
Note: | Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 32.26] |
URI: | http://hdl.handle.net/2445/151957 |
Appears in Collections: | Preprints de Matemàtiques - Mathematics Preprint Series |
Files in This Item:
File | Description | Size | Format | |
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MPS_N086.pdf | 712.5 kB | Adobe PDF | View/Open |
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