@techreport{bjrner2008modular, author = {Bjørner, Nikolaj and Blass, Andreas and Gurevich, Yuri and Musuvathi, Madan}, title = {Modular difference logic is hard}, year = {2008}, month = {October}, abstract = {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.}, url = {http://approjects.co.za/?big=en-us/research/publication/modular-difference-logic-is-hard/}, pages = {8}, number = {MSR-TR-2008-140}, }