The convex hull of a regular set of integer vectors is polyhedral and effectively computable |
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Authors: | Alain Finkel |
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Affiliation: | a LSV, CNRS UMR 8643, ENS de Cachan, Cachan, France b DIRO, Université de Montréal, Montréal, QC, Canada |
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Abstract: | Number Decision Diagrams (NDD) provide a natural finite symbolic representation for regular set of integer vectors encoded as strings of digit vectors (least or most significant digit first). The convex hull of the set of vectors represented by a NDD is proved to be an effectively computable convex polyhedron. |
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Keywords: | Approximation algorithms Symbolic representation Polyhedral convex set Presburger arithmetic |
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