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In this paper we introduce a novel quantifier elimination method forconjunctions of linear real arithmetic constraints. Our algorithm is based onthe Fourier-Motzkin variable elimination procedure, but by case splitting weare able to reduce the worst-case complexity from doubly to singly exponential.The adaption of the procedure for SMT solving has strong correspondence to thesimplex algorithm, therefore we name it FMplex. Besides the theoreticalfoundations, we provide an experimental evaluation in the context of SMTsolving.

FMplex: A Novel Method for Solving Linear Real Arithmetic Problems (Extended Version)