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Nelson and Oppen provided a methodology for modularly combining decision procedures for individual theories to construct a decision procedure for a combination of theories. In addition to providing a check for satisfiability, the individual decision procedures need to provide additional functionalities, including equality generation. In this paper, we propose a decision procedure for a conjunction of difference constraints over rationals (where the atomic formulas are of the form x ≤ y + c or xdoi:10.1016/j.entcs.2005.12.004 fatcat:lqgwxp5nenbqlddlwqgym6nuue