Clingo goes linear constraints over reals and integers

TOMI JANHUNEN, ROLAND KAMINSKI, MAX OSTROWSKI, SEBASTIAN SCHELLHORN, PHILIPP WANKO, TORSTEN SCHAUB
2017 Theory and Practice of Logic Programming  
The recent series 5 of the Answer Set Programming (ASP) system clingo provides 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 to clingo with difference and linear constraints over integers
more » ... reals, respectively, and realize them in complementary ways. Finally, we empirically evaluate the resulting clingo derivatives clingo[dl] and clingo[lp] on common language fragments and contrast them to related ASP systems.
doi:10.1017/s1471068417000242 fatcat:qpqpi4bkxzbutasqlgedjslb2q