Bilattices and Modal Operators

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jan 1990 English Publisher:Oxford University Press (OUP)Journal:Journal of Logic and Computation, volume 1, pages 41-69 (issn: 0955-792X, eissn: 1465-363X,

Copyright policy )

Authors: Matthew L. Ginsberg;

doi: 10.1093/logcom/1.1.41

Bilattices and Modal Operators

- Summary
- Subjects
- Metrics

Abstract

A bilattice is a set equipped with two partial orders and a negation operation that inverts one of them (truth-value order) while leaving the other (knowledge order) unchanged. A modal operator is defined to be a function on a bilattice. This definition generalizes both Kripke's possible worlds approach and Moore's autoepistemic logic. Stratified truth assignments similar to stratified logic programs are defined and studied.

Related Organizations

Stanford University
United States

Keywords

Logic in computer science, knowledge order, Stratified truth assignments, bilattice, possible worlds, Logic programming, modal operator, stratified logic programs, truth-value order, Modal logic (including the logic of norms), autoepistemic logic, Logical aspects of lattices and related structures, modal logic

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	43
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average