Title
Bitopology and Four-valued Logic
Abstract
Bilattices and d-frames are two different kinds of structures with a four-valued interpretation. Whereas d-frames were introduced with their topological semantics in mind, the theory of bilattices has a closer connection with logic. We consider a common generalisation of both structures and show that this not only still has a clear bitopological semantics, but that it also preserves most of the original bilattice logic. Moreover, we also obtain a new bitopological interpretation for the connectives of four-valued logic.
Year
DOI
Venue
2016
10.1016/j.entcs.2016.09.039
Electronic Notes in Theoretical Computer Science
Keywords
Field
DocType
Bilattices,d-frames,nd-frames,bitopological spaces,four-valued logic
Discrete mathematics,Computer science,Generalization,Four-valued logic,Semantics
Journal
Volume
ISSN
Citations 
325
1571-0661
1
PageRank 
References 
Authors
0.36
1
3
Name
Order
Citations
PageRank
Tomáš Jakl110.36
Achim Jung211113.07
Ales Pultr37224.12