Bitopology and four-valued logic

Tomas Jakl, Achim Jung, Ales Pultr

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)
151 Downloads (Pure)

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.
Original languageEnglish
Title of host publication32nd Conference on Mathematical Foundations of Programming Semantics: Proceedings
EditorsLars Birkedal, Michael Mislove
PublisherElsevier
Pages201-219
Number of pages18
Volume325
DOIs
Publication statusPublished - 7 Oct 2016
Event32nd Conference on Mathematical Foundations of Programming Semantics - Carnegie Mellon University, Pittsburgh, United States
Duration: 23 May 201626 May 2016

Publication series

NameElectronic Notes in Theoretical Computer Science
PublisherElsevier
ISSN (Electronic)1571-0661

Conference

Conference32nd Conference on Mathematical Foundations of Programming Semantics
Country/TerritoryUnited States
CityPittsburgh
Period23/05/1626/05/16

Keywords

  • Bilattices
  • d-frames
  • nd-frames
  • bitopological spaces
  • four-valued logic

Fingerprint

Dive into the research topics of 'Bitopology and four-valued logic'. Together they form a unique fingerprint.

Cite this