Dual-normal logic programs
- Disjunctive Answer Set Programming is a powerful declarative programming paradigm with complexity beyond NP. Identifying classes of programs for which the consistency problem is in NP is of interest from the theoretical standpoint and can potentially lead to improvements in the design of answer set programming solvers. One of such classes consists of dual-normal programs, where the number of positive body atoms in proper rules is at most one. Unlike other classes of programs, dual-normal programs have received little attention so far. In this paper we study this class. We relate dual-normal programs to propositional theories and to normal programs by presenting several inter-translations. With the translation from dual-normal to normal programs at hand, we introduce the novel class of body-cycle free programs, which are in many respects dual to head-cycle free programs. We establish the expressive power of dual-normal programs in terms of SE- and UE-models, and compare them to normal programs. We also discuss the complexity ofDisjunctive Answer Set Programming is a powerful declarative programming paradigm with complexity beyond NP. Identifying classes of programs for which the consistency problem is in NP is of interest from the theoretical standpoint and can potentially lead to improvements in the design of answer set programming solvers. One of such classes consists of dual-normal programs, where the number of positive body atoms in proper rules is at most one. Unlike other classes of programs, dual-normal programs have received little attention so far. In this paper we study this class. We relate dual-normal programs to propositional theories and to normal programs by presenting several inter-translations. With the translation from dual-normal to normal programs at hand, we introduce the novel class of body-cycle free programs, which are in many respects dual to head-cycle free programs. We establish the expressive power of dual-normal programs in terms of SE- and UE-models, and compare them to normal programs. We also discuss the complexity of deciding whether dual-normal programs are strongly and uniformly equivalent.…
Author details: | Johannes Klaus FichteORCiD, Miroslaw Truszczynski, Stefan WoltranORCiDGND |
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URN: | urn:nbn:de:kobv:517-opus4-414490 |
DOI: | https://doi.org/10.25932/publishup-41449 |
ISSN: | 1866-8372 |
Title of parent work (English): | Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe |
Subtitle (English): | the forgotten class |
Publication series (Volume number): | Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (585) |
Publication type: | Postprint |
Language: | English |
Date of first publication: | 2019/02/11 |
Publication year: | 2015 |
Publishing institution: | Universität Potsdam |
Release date: | 2019/02/11 |
Tag: | answer set programming; classes of logic programs; propositional satisfiability; strong and uniform equivalence |
Issue: | 585 |
Number of pages: | 16 |
Source: | Theory and Practice of Logic Programming 15 (2015) 4–5, pp. 495–510 DOI 10.1017/S1471068415000186 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät |
DDC classification: | 0 Informatik, Informationswissenschaft, allgemeine Werke / 00 Informatik, Wissen, Systeme / 004 Datenverarbeitung; Informatik |
Peer review: | Referiert |
Publishing method: | Open Access |
Grantor: | Cambridge University Press (CUP) |
License (German): | Keine öffentliche Lizenz: Unter Urheberrechtsschutz |