Results 131 to 140 of about 349 (167)

Basics of Galois Connections

Lecture Notes in Computer Science, 2008
exaly   +2 more sources

Galois Connection for Hyperclones

2010 40th IEEE International Symposium on Multiple-Valued Logic, 2010
This paper is inspired by the paper of Tarasov in which he investigates maximal partial clones on a two-element set. It happens that the approach of Tarasov can be translated into the language of hyperclone theory. He introduced a notion of quasicomposition which assigns to extended hyperoperations extension of their composition.
Hajime Machida, Jovanka Pantovic, Ivo G. Rosenberg   +2 more
openaire   +2 more sources

Duality for Quasilattices and Galois Connections

Fundamenta Informaticae, 2017
The primary goal of the paper is to establish a duality for quasilattices. The main ingredients are duality for semilattices and their representations, the structural analysis of quasilattices as Płonka sums of lattices, and the duality for lattices developed by Hartonas and Dunn.
Anna B. Romanowska, Jonathan D. H. Smith
openaire   +3 more sources

Hilbert Algebras with Hilbert–Galois Connections

Studia Logica, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergio A. Celani, Daniela Montangie
openaire   +3 more sources

A Galois Connection

Logica Universalis, 2007
The connection presented in this paper mirror-links two metamathematical structures, the finitary closure operators, and the compact consistency properties, in such a way that a specification of one structure induces a provably equivalent specification of the other.
openaire   +1 more source

Relational Galois Connections

2007
Galois connections can be defined for lattices and for ordered sets. We discuss a rather wide generalisation, which was introduced by Weiqun Xia and has been reinvented under different names: Relational Galois connections between relations. It turns out that the generalised notion is of importance for the original one and can be utilised, e.g., for ...
openaire   +1 more source

Relational fuzzy Galois connections

2017 Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems (IFSA-SCIS), 2017
We propose a suitable generalization of the notion of Galois connection whose components are fuzzy relations. We prove that the construction embeds Yao's notion of fuzzy Galois connection as a particular case. Although the natural framework for the proposed notion is that of fuzzy preposets, we also prove that it behaves properly with respect to the ...
Inma P. Cabrera, Pablo Cordero, Manuel Ojeda-Aciego   +2 more
openaire   +2 more sources

Armstrong systems and Galois connections

2011 IEEE International Conference on Granular Computing, 2011
In the paper [1], it is proved that any Galois connection (f, g) on a complete lattice made an Armstrong system F (f, g) . We prove in this short note that the converse holds, that is, for a given Armstrong system R, we can make a Galois connection (φ R , ψ R ) and the original Armstrong system R is identical with the induced Armstrong system F (φR, ψR)
Michiro Kondo, Sho Soneda, Bunpei Yoshii
openaire   +2 more sources

Logical Relations and Galois Connections

2002
Algebraic properties of logical relations on partially ordered sets are studied. It is shown how to construct a logical relation that extends a collection of base Galois connections to a Galois connection of arbitrary higher-order type. "Theorems-for-free" is used to show that the construction ensures safe abstract interpretation of parametrically ...
Kevin Backhouse, Roland Carl Backhouse
openaire   +2 more sources

Triadic fuzzy Galois connections as ordinary connections

Fuzzy Sets and Systems, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radim Belohlávek, Petr Osicka
openaire   +3 more sources