On the algebra of regular sets

DOI10.1007/s10472-012-9301-2zbMath1268.54015OpenAlexW44082233MaRDI QIDQ1926594

Michael Winter, Torsten Hahmann, Michael Gruninger

Publication date: 28 December 2012

Published in: Annals of Mathematics and Artificial Intelligence (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10472-012-9301-2

zbMATH Keywords

representationmereotopologyregular setsregion-based topologylocalized distributivityinterior operationStonian \(p\)-ortholattice

Mathematics Subject Classification ID

Logic in artificial intelligence (68T27) Knowledge representation (68T30) Representation theory of lattices (06B15) Stone spaces (Boolean spaces) and related structures (06E15) Varieties of lattices (06B20) Topological representations of algebraic systems (54H10) Generalizations of Boolean algebras (06E75)

Related Items (2)

Complementation in representable theories of region-based space ⋮ Distributive mereotopology: extended distributive contact lattices

Cites Work

• Stonian p-ortholattices: a new approach to the mereotopology \(RT_{0}\)
• Mereotopological connection
• Boolean connection algebras: A new approach to the Region-Connection Calculus
• Stone lattices
• A representation theorem for Boolean contact algebras
• On the Skeleton of Stonian p-Ortholattices
• The Theory of Representation for Boolean Algebras
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