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.
Change history: [2017-07-05]: generalised extended reals to linear orders (revision b8e703159177)
  author  = {Walter Guttmann},
  title   = {Stone Relation Algebras},
  journal = {Archive of Formal Proofs},
  month   = feb,
  year    = 2017,
  note    = {\url{},
            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.