Clingo goes linear constraints over reals and integers

Abstract

AbstractThe recent series 5 of the Answer Set Programming (ASP) systemclingoprovides generic means to enhance basic ASP with theory reasoning capabilities. We instantiate this framework with different forms of linear constraints and elaborate upon its formal properties. Given this, we discuss the respective implementations, and present techniques for using these constraints in a reactive context. More precisely, we introduce extensions toclingowith difference and linear constraints over integers and reals, respectively, and realize them in complementary ways. Finally, we empirically evaluate the resultingclingoderivativesclingo[dl] andclingo[lp] on common language fragments and contrast them to related ASP systems.