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Erschienen in:
2007 | OriginalPaper | Buchkapitel
Polynomial Constraints for Sets with Cardinality Bounds
verfasst von : Bruno Marnette, Viktor Kuncak, Martin Rinard
Erschienen in: Foundations of Software Science and Computational Structures
Verlag: Springer Berlin Heidelberg
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Logics that can reason about sets and their cardinality bounds are useful in program analysis, program verification, databases, and knowledge bases. This paper presents a class of constraints on sets and their cardinalities for which the satisfiability and the entailment problems are computable in polynomial time. Our class of constraints, based on tree-shaped formulas, is unique in being simultaneously tractable and able to express 1) that a set is a union of other sets, 2) that sets are disjoint, and 3) that a set has cardinality within a given range. As the main result we present a polynomial-time algorithm for checking entailment of our constraints.