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» The expressivity of XPath with transitive closure
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PODS
2000
ACM
102views Database» more  PODS 2000»
13 years 10 months ago
Linear Approximation of Planar Spatial Databases Using Transitive-Closure Logic
We consider spatial databases in the plane that can be defined by polynomial constraint formulas. Motivated by applications in geographic information systems, we investigate line...
Floris Geerts, Bart Kuijpers
ENTCS
2006
117views more  ENTCS 2006»
13 years 5 months ago
Monadic Second-Order Logic and Transitive Closure Logics over Trees
Model theoretic syntax is concerned with studying the descriptive complexity of grammar formalisms for natural languages by defining their derivation trees in suitable logical for...
Hans-Jörg Tiede, Stephan Kepser
LICS
2009
IEEE
14 years 14 days ago
Expressiveness and Closure Properties for Quantitative Languages
Weighted automata are nondeterministic automata with numerical weights on transitions. They can define quantitative languages L that assign to each word w a real number L(w). In ...
Krishnendu Chatterjee, Laurent Doyen, Thomas A. He...
LICS
1995
IEEE
13 years 9 months ago
Tree Canonization and Transitive Closure
We prove that tree isomorphism is not expressible in the language (FO + TC + COUNT). This is surprising since in the presence of ordering the language captures NL, whereas tree is...
Kousha Etessami, Neil Immerman
TACAS
2009
Springer
115views Algorithms» more  TACAS 2009»
14 years 18 days ago
Iterating Octagons
Abstract. In this paper we prove that the transitive closure of a nondeterministic octagonal relation using integer counters can be expressed in Presburger arithmetic. The direct c...
Marius Bozga, Codruta Gîrlea, Radu Iosif