Title
An algebraic approach to multirelations and their properties.
Abstract
We study operations and equational properties of multirelations, which have been used for modelling games, protocols, computations, contact, closure and topology. The operations and properties are expressed using sets, heterogeneous relation algebras and more general algebras for multirelations. We investigate the algebraic properties of a new composition operation based on the correspondence to predicate transformers, different ways to express reflexive–transitive closures of multirelations, numerous equational properties, how these properties are connected and their preservation by multirelational operations. We particularly aim to generalise results and properties from up-closed multirelations to arbitrary multirelations. This paper is an extended version of [7].
Year
DOI
Venue
2017
10.1016/j.jlamp.2017.02.002
Journal of Logical and Algebraic Methods in Programming
Keywords
Field
DocType
Algebras of multirelations,Aumann contact,Heterogeneous relations,Multirelational composition,Reflexive–transitive closure
Discrete mathematics,Algebraic number,Algebra,Predicate (grammar),Algebraic properties,Mathematics,Computation
Journal
Volume
Issue
ISSN
88
1
2352-2208
Citations 
PageRank 
References 
0
0.34
14
Authors
2
Name
Order
Citations
PageRank
Rudolf Berghammer156976.48
Walter Guttmann219616.53