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CCCG
2010
13 years 9 months ago
Coloring geometric hypergraph defined by an arrangement of half-planes
We prove that any finite set of half-planes can be colored by two colors so that every point of the plane, which belongs to at least three half-planes in the set, is covered by ha...
Radoslav Fulek
WILF
2009
Springer
216views Fuzzy Logic» more  WILF 2009»
14 years 2 months ago
Barycentric Algebras and Gene Expression
Barycentric algebras have seen widespread application in the modeling of convex sets, semilattices, and quantum mechanics. Recently, they were developed further to encompass Boolea...
Anna B. Romanowska, Jonathan D. H. Smith
TIT
2011
169views more  TIT 2011»
13 years 2 months ago
Network Coding Theory Via Commutative Algebra
—The fundamental result of linear network coding asserts the existence of optimal codes over acyclic networks when the symbol field is sufficiently large. The restriction to just...
Shuo-Yen Robert Li, Qifu Tyler Sun
CADE
2000
Springer
13 years 12 months ago
System Description: ARA - An Automatic Theorem Prover for Relation Algebras
Abstract. aRa is an automatic theorem prover for various kinds of relation algebras. It is based on Gordeev’s Reduction Predicate Calculi for n-variable logic (RPCn) which allow ...
Carsten Sinz
CONCUR
1991
Springer
13 years 11 months ago
Real Space Process Algebra
We propose a process algebra obtained by adapting the process algebra with continuous relative timing from Baeten and Middelburg [Process Algebra with Timing, Springer, 2002, Chap....
Jos C. M. Baeten, Jan A. Bergstra