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Answer Set Programming modulo Acyclicity

Abstract : Acyclicity constraints are prevalent in knowledge representation and, in particular, applications where acyclic data structures such as DAGs and trees play a role. Recently, such constraints have been considered in the satisfiability modulo theories (SMT) framework, and in this paper we carry out an analogous extension to the answer set programming (ASP) paradigm. The resulting formalism, ASP modulo acyclicity, offers a rich set of primitives to express constraints related with recursive structures. The implementation, obtained as an extension to the state-of-the-art answer set solver clasp, provides a unique combination of traditional unfounded set checking with acyclicity propagation.
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https://hal.inria.fr/hal-01187003
Contributor : René Quiniou Connect in order to contact the contributor
Submitted on : Tuesday, August 25, 2015 - 6:25:53 PM
Last modification on : Tuesday, October 19, 2021 - 11:58:48 PM

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Jori Bomanson, Martin Gebser, Toni Janhunen, Benjamin Kaufmann, Torsten Schaub. Answer Set Programming modulo Acyclicity. Proceedings of the Thirteenth International Conference on Logic Programming and Nonmonotonic Reasoning (LPNMR'15), Sep 2015, Lexington, United States. pp.143-150, ⟨10.1007/978-3-319-23264-5_13⟩. ⟨hal-01187003⟩

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