Journal of Automated Reasoning

, Volume 51, Issue 1, pp 79-108

First online:

Cutting to the Chase

Solving Linear Integer Arithmetic
  • Dejan JovanovićAffiliated withNew York University Email author 
  • , Leonardo de MouraAffiliated withMicrosoft Research

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We describe a new algorithm for solving linear integer programming problems. The algorithm performs a DPLL style search for a feasible assignment, while using a novel cut procedure to guide the search away from the conflicting states.


Linear arithmetic SMT SAT DPLL Linear programming Integer arithmetic