Incremental linearization: A practical approach to satisfiability modulo nonlinear arithmetic and transcendental functions

Abstract

Satisfiability Modulo Theories (SMT) is the problem of deciding the satisfiability of a first-order formula with respect to some theory or combination of theories. In this paper, we overview our recent approach called Incremental Linearization, which successfully tackles the problems of SMT over the theories of nonlinear arithmetic over the reals (NRA), nonlinear arithmetic over the integers (NIA) and their combination, and of NRA augmented with transcendental (exponential and trigonometric) functions (NTA). Moreover, we showcase some of the experimental results and outline interesting future directions.