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» Connections between Relation Algebras and Cylindric Algebras
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APAL
2004
84views more  APAL 2004»
13 years 5 months ago
Finite, integral, and finite-dimensional relation algebras: a brief history
Relation were invented by Tarski and his collaborators in the middle of the twentieth century. The concept of integrality arose naturally early in the history of the subject, and s...
Roger D. Maddux
ORDER
2006
128views more  ORDER 2006»
13 years 5 months ago
Algebras Defined from Ordered Sets and the Varieties they Generate
We investigate ways of representing ordered sets as algebras and how the order relation is reflected in the algebraic properties of the variety (equational class) generated by the...
Joel Berman, Willem J. Blok
ISSAC
2005
Springer
101views Mathematics» more  ISSAC 2005»
13 years 11 months ago
Adherence is better than adjacency: computing the Riemann index using CAD
Given an elementary function with algebraic branch cuts, we show how to decide which sheet of the associated Riemann surface we are on at any given point. We do this by establishi...
James C. Beaumont, Russell J. Bradford, James H. D...
JLP
2006
113views more  JLP 2006»
13 years 5 months ago
Continuity controlled hybrid automata
We investigate the connections between the process algebra for hybrid systems of Bergstra and Middelburg and the formalism of hybrid automata of Henzinger et al. We give interpreta...
Jan A. Bergstra, C. A. Middelburg
ISVC
2009
Springer
13 years 12 months ago
Visualizing Arcs of Implicit Algebraic Curves, Exactly and Fast
Given a Cylindrical Algebraic Decomposition of an implicit algebraic curve, visualizing distinct curve arcs is not as easy as it stands because, despite the absence of singularitie...
Pavel Emeliyanenko, Eric Berberich, Michael Sagral...