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AI
2008
Springer
13 years 7 months ago
Semiring induced valuation algebras: Exact and approximate local computation algorithms
Local computation in join trees or acyclic hypertrees has been shown to be linked to a particular algebraic structure, called valuation algebra. There are many models of this alge...
Jürg Kohlas, Nic Wilson
ICALP
2007
Springer
13 years 11 months ago
Affine Systems of Equations and Counting Infinitary Logic
We study the definability of constraint satisfaction problems (CSP) in various fixed-point and infinitary logics. We show that testing the solvability of systems of equations over...
Albert Atserias, Andrei A. Bulatov, Anuj Dawar
JSYML
2000
69views more  JSYML 2000»
13 years 7 months ago
Topological Elementary Equivalence of Closed Semi-Algebraic Sets in The Real Plane
We investigate topological properties of subsets S of the real plane, expressed by first-order logic sentences in the language of the reals augmented with a binary relation symbol...
Bart Kuijpers, Jan Paredaens, Jan Van den Bussche
CORR
2010
Springer
52views Education» more  CORR 2010»
13 years 7 months ago
Weighted Logics for Nested Words and Algebraic Formal Power Series
Nested words, a model for recursive programs proposed by Alur and Madhusudan, have recently gained much interest. In this paper we introduce quantitative extensions and study neste...
Christian Mathissen
SIGMOD
2005
ACM
114views Database» more  SIGMOD 2005»
14 years 7 months ago
Semantic characterizations of navigational XPath
We give semantic characterizations of the expressive power of navigational XPath (also called Core XPath) in terms of first order logic. XPath can be used to specify sets of nodes...
Maarten Marx, Maarten de Rijke