Stone Relation Algebras

Title:	Stone Relation Algebras
Author:	Walter Guttmann
Submission date:	2017-02-07
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.
BibTeX:	@article{Stone_Relation_Algebras-AFP, author = {Walter Guttmann}, title = {Stone Relation Algebras}, journal = {Archive of Formal Proofs}, month = feb, year = 2017, note = {\url{http://isa-afp.org/entries/Stone_Relation_Algebras.html}, Formal proof development}, ISSN = {2150-914x}, }
License:	BSD License
Depends on:	Stone_Algebras
Used by:	Stone_Kleene_Relation_Algebras
Status: [ok]	This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.