DocumentCode
2136417
Title
Propositional skew Boolean logic
Author
Bignall, R.J. ; Spinks, M.
Author_Institution
Sch. of Comput. & Inf. Technol., Monash Univ., Churchill, Vic., Australia
fYear
1996
fDate
29-31 May 1996
Firstpage
43
Lastpage
48
Abstract
A non-commutative propositional logic is described. A Hilbert-style axiomatisation is given for the logic, and a multiple-valued interpretation is constructed. The logic is shown to be sound and complete with respect to this interpretation. We also show that the logic has no finite complete models. An application includes the specification and design of multiple-valued switching circuits
Keywords
Boolean algebra; Boolean functions; logic design; multivalued logic; multivalued logic circuits; Hilbert-style axiomatisation; multiple-valued switching circuits; noncommutative propositional logic; propositional skew Boolean logic; Australia; Boolean algebra; Boolean functions; Lattices; Logic functions; Switching circuits;
fLanguage
English
Publisher
ieee
Conference_Titel
Multiple-Valued Logic, 1996. Proceedings., 26th International Symposium on
Conference_Location
Santiago de Compostela
ISSN
0195-623X
Print_ISBN
0-8186-7392-3
Type
conf
DOI
10.1109/ISMVL.1996.508334
Filename
508334
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