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de Morgan bisemilattices

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1 Author(s)
Brzozowski, J.A. ; Dept. of Comput. Sci., Waterloo Univ., Ont., Canada

We study de Morgan bisemilattices, which are algebras of the form (S, ∪, ∧, -, 1, 0), where (S, ∪, ∧) is a bisemilattice, 1 and 0 are the unit and zero elements of S, and - is a unary operation, called quasi-complementation, that satisfies the involution law and de Morgan's laws. de Morgan bisemilattices are generalizations of de Morgan algebras, and have applications in multi-valued simulations of digital circuits. We present some basic observations about bisemilattices, and provide a set-theoretic characterization for a subfamily of de Morgan bisemilattices, which we call locally distributive de Morgan bilattices

Published in:
Multiple-Valued Logic, 2000. (ISMVL 2000) Proceedings. 30th IEEE International Symposium on

Date of Conference: 2000

Page(s):
173 - 178
Meeting Date :
23 May 2000-25 May 2000
ISSN :
0195-623X
Print ISBN:
0-7695-0692-5
INSPEC Accession Number:
6629807
Conference Location :
Portland, OR
Digital Object Identifier :
10.1109/ISMVL.2000.848616
Product Type:
Conference Publications

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