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This paper is concerned with the design and analysis of approximation algorithms for the problem of determining the least weight refutation in a weighted difference constraint system. Recall that a difference constraint is a linear constraint of the form $$x_{i}-x_{j} \le b_{ij}$$ xi-xj≤bij and a conjunction of such constraints is called a difference constraint system (DCS). In a weighted DCS (WDCS),...
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