Modular difference logic is hard

In connection with machine arithmetic, we are interested in systems of constraints of the form x + k ≤ y + l. Over integers, the satisfiability problem for such systems is polynomial time. The problem becomes NP complete if we restrict attention to the residues for a fixed modulus N.

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TypeTechReport
NumberMSR-TR-2008-140
Pages8
InstitutionMicrosoft Research
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