Priestley Duality for Bilattices

Studia Logica 100 (1-2):223-252 (2012)

Abstract
We develop a Priestley-style duality theory for different classes of algebras having a bilattice reduct. A similar investigation has already been realized by B. Mobasher, D. Pigozzi, G. Slutzki and G. Voutsadakis, but only from an abstract category-theoretic point of view. In the present work we are instead interested in a concrete study of the topological spaces that correspond to bilattices and some related algebras that are obtained through expansions of the algebraic language
Keywords bilattices  Priestley duality theory  bilattices with conflation  bilattices with implication  Brouwerian bilattices
Categories (categorize this paper)
DOI 10.1007/s11225-012-9376-0
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 44,253
Through your library

References found in this work BETA

An Algebraic Approach to Non-Classical Logics.Helena Rasiowa - 1974 - Warszawa, Pwn - Polish Scientific Publishers.
Reasoning with Logical Bilattices.Ofer Arieli & Arnon Avron - 1996 - Journal of Logic, Language and Information 5 (1):25--63.
On the Representation of N4-Lattices.Sergei P. Odintsov - 2004 - Studia Logica 76 (3):385 - 405.

View all 11 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Distributive Lattices with an Operator.Alejandro Petrovich - 1996 - Studia Logica 56 (1-2):205 - 224.
Duality for Algebras of Relevant Logics.Alasdair Urquhart - 1996 - Studia Logica 56 (1-2):263 - 276.
Free Modal Lattices Via Priestley Duality.Claudia B. Wegener - 2002 - Studia Logica 70 (3):339 - 352.
Semilattice-Based Dualities.A. B. Romanowska & J. D. H. Smith - 1996 - Studia Logica 56 (1-2):225 - 261.
Nelson Algebras Through Heyting Ones: I.Andrzej Sendlewski - 1990 - Studia Logica 49 (1):105-126.
Priestley Duality for Some Subalgebra Lattices.Georges Hansoul - 1996 - Studia Logica 56 (1-2):133 - 149.
A Coalgebraic View of Heyting Duality.Brian A. Davey & John C. Galati - 2003 - Studia Logica 75 (3):259 - 270.
Semi-Demorgan Algebras.David Hobby - 1996 - Studia Logica 56 (1-2):151 - 183.
Reasoning with Logical Bilattices.Ofer Arieli & Arnon Avron - 1996 - Journal of Logic, Language and Information 5 (1):25--63.

Analytics

Added to PP index
2012-02-08

Total views
39 ( #218,836 of 2,269,762 )

Recent downloads (6 months)
3 ( #422,367 of 2,269,762 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature