[1] Thomas Eiter, Michael Fink, Thomas Krennwallner, Christoph Redl, and Peter Schüller. Exploiting unfounded sets for HEX-program evaluation. In Proceedings of the Thirteenth European Conference on Logics in Artificial Intelligence (JELIA 2012), Toulouse, France, September 26-28, 2012, September 2012. [ bib ]
Keywords: Answer Set Programming, Nonmonotonic Reasoning, Conflict-Driven Clause Learning
[2] Thomas Eiter, Michael Fink, Thomas Krennwallner, Christoph Redl, and Peter Schüller. Eliminating unfounded set checking for HEX-programs. In Michael Fink and Yuliya Lierler, editors, Fifth Workshop on Answer Set Programming and Other Computing Paradigms (ASPOCP 2012), September 4, 2012, Budapest, Hungary, pages 83--97, September 2012. [ bib | .pdf ]
HEX-programs are an extension of the Answer Set Programming(ASP) paradigm incorporating external means of computation into the declarative programming language through so-called external atoms. Their semantics is defined in terms of minimal models of the Faber-Leone-Pfeifer (FLP) reduct. Developing native solvers for HEX-programs based on an appropriate notion of unfounded sets has been subject to recent research for reasons of efficiency. Although this has lead to an improvement over naive minimality checking using the FLP reduct, testing for foundedness remains a computationally expensive task. In this work we improve on HEX-program evaluation in this respect by identifying a syntactic class of programs, that can be efficiently recognized and allows to entirely skip the foundedness check. Moreover, we develop criteria for decomposing a program into components, such that the search for unfounded sets can be restricted. Observing that our results apply to many HEX-program applications provides analytic evidence for the significance and effectiveness of our approach, which is complemented by a brief discussion of preliminary experimental validation.

Keywords: Answer Set Programming, Nonmonotonic Reasoning, Unfounded Sets, FLP Semantics
[3] Christoph Redl. Answer set programming with external sources. In Eighth ICLP Doctoral Consortium, Budapest, Hungary, September 4, 2012, pages 469--475, 2012. [ bib ]
[4] Thomas Eiter, Michael Fink, Thomas Krennwallner, and Christoph Redl. Conflict-driven ASP solving with external sources. TPLP, 12(4--5):659--679, 2012. [ bib ]

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