Stone Relation Algebras

Walter Guttmann 🌐

February 7, 2017

Abstract

We develop Stone relation algebras, which generalise relation algebras by replacing the underlying Boolean algebra structure with a Stone algebra. We show that finite matrices over extended real numbers form an instance. As a consequence, relation-algebraic concepts and methods can be used for reasoning about weighted graphs. We also develop a fixpoint calculus and apply it to compare different definitions of reflexive-transitive closures in semirings.
BSD License

Topics

Theories of Stone_Relation_Algebras