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Clingo goes linear constraints over reals and integers*

Published online by Cambridge University Press:  11 September 2017

TOMI JANHUNEN ,
ROLAND KAMINSKI ,
MAX OSTROWSKI ,
SEBASTIAN SCHELLHORN ,
PHILIPP WANKO  and
TORSTEN SCHAUB
TOMI JANHUNEN
Affiliation:
Aalto University, AaltoFinland (e-mail: tomi.janhunen@aalto.fi)
ROLAND KAMINSKI
Affiliation:
University of Potsdam, PotsdamGermany (e-mails: kaminski@cs.uni-potsdam.de, ostrowsk@cs.uni-potsdam.de, seschell@cs.uni-potsdam.de, wanko@cs.uni-potsdam.de)
MAX OSTROWSKI
Affiliation:
University of Potsdam, PotsdamGermany (e-mails: kaminski@cs.uni-potsdam.de, ostrowsk@cs.uni-potsdam.de, seschell@cs.uni-potsdam.de, wanko@cs.uni-potsdam.de)
SEBASTIAN SCHELLHORN
Affiliation:
University of Potsdam, PotsdamGermany (e-mails: kaminski@cs.uni-potsdam.de, ostrowsk@cs.uni-potsdam.de, seschell@cs.uni-potsdam.de, wanko@cs.uni-potsdam.de)
PHILIPP WANKO
Affiliation:
University of Potsdam, PotsdamGermany (e-mails: kaminski@cs.uni-potsdam.de, ostrowsk@cs.uni-potsdam.de, seschell@cs.uni-potsdam.de, wanko@cs.uni-potsdam.de)
TORSTEN SCHAUB
Affiliation:
University of Potsdam, Potsdam Germany and INRIA Rennes, RennesFrance (e-mail: torsten@cs.uni-potsdam.de)
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Abstract

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 and 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.

Keywords

Constraint Answer Set Programming (CASP)Answer Set Programming (ASP)Constraint Processing (CP)Theory Solving
Type
Regular Papers
Information
Theory and Practice of Logic Programming , Volume 17 , Special Issue 5-6: 33rd International Conference on Logic Programming , September 2017 , pp. 872 - 888
Copyright
Copyright © Cambridge University Press 2017 

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