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The convex hull of a regular set of integer vectors is polyhedral and effectively computable
Authors:Alain Finkel
Affiliation:a LSV, CNRS UMR 8643, ENS de Cachan, Cachan, France
b DIRO, Université de Montréal, Montréal, QC, Canada
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.
Keywords:Approximation algorithms   Symbolic representation   Polyhedral convex set   Presburger arithmetic
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