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» Partitioning into Sets of Bounded Cardinality
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FOSSACS
2007
Springer
13 years 11 months ago
Polynomial Constraints for Sets with Cardinality Bounds
Abstract. Logics that can reason about sets and their cardinality bounds are useful in program analysis, program verification, databases, and knowledge bases. This paper presents ...
Bruno Marnette, Viktor Kuncak, Martin C. Rinard
KR
2010
Springer
13 years 10 months ago
Tractable Answer-Set Programming with Weight Constraints: Bounded Treewidth Is not Enough
Cardinality constraints or, more generally, weight constraints are well recognized as an important extension of answer-set programming. Clearly, all common algorithmic tasks relat...
Reinhard Pichler, Stefan Rümmele, Stefan Szei...
CSL
2008
Springer
13 years 7 months ago
Fractional Collections with Cardinality Bounds, and Mixed Linear Arithmetic with Stars
Abstract. We present decision procedures for logical constraints involving collections such as sets, multisets, and fuzzy sets. Element membership in our collections is given by ch...
Ruzica Piskac, Viktor Kuncak
GC
2010
Springer
13 years 3 months ago
Degree Bounded Spanning Trees
In this paper, we give a sufficient condition for a graph to have a degree bounded spanning tree. Let n ≥ 1, k ≥ 3, c ≥ 0 and G be an n-connected graph. Suppose that for eve...
Jun Fujisawa, Hajime Matsumura, Tomoki Yamashita
DLOG
2010
13 years 3 months ago
Optimizing Algebraic Tableau Reasoning for SHOQ: First Experimental Results
In this paper we outline an algebraic tableau algorithm for the DL SHOQ, which supports more informed reasoning due to the use of semantic partitioning and integer programming. We ...
Jocelyne Faddoul, Volker Haarslev