Enumeration complexity of poor man’s propositional dependence logic

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Original languageEnglish
Title of host publicationFoundations of Information and Knowledge Systems
Subtitle of host publication10th International Symposium, FoIKS 2018, Budapest, Hungary, May 14–18, 2018, Proceedings
EditorsStefan Woltran, Flavio Ferrarotti
PublisherSpringer Verlag
Pages303-321
Number of pages19
Edition1.
ISBN (electronic)978-3-319-90050-6
ISBN (print)978-3-319-90049-0
Publication statusPublished - 2018
Event10th International Symposium on Foundations of Information and Knowledge Systems, FoIKS 2018 - Budapest, Hungary
Duration: 14 May 201818 May 2018

Publication series

NameLecture Notes in Computer Science (LNCS)
Volume10833
ISSN (Print)0302-9743
ISSN (electronic)1611-3349
NameInformation Systems and Applications, incl. Internet/Web, and HCI (LNISA)
ISSN (Print)2946-1642
ISSN (electronic)2946-1634

Abstract

Dependence logics are a modern family of logics of independence and dependence which mimic notions of database theory. In this paper, we aim to initiate the study of enumeration complexity in the field of dependence logics and thereby get a new point of view on enumerating answers of database queries. Consequently, as a first step, we investigate the problem of enumerating all satisfying teams of formulas from a given fragment of propositional dependence logic. We distinguish between restricting the team size by arbitrary functions and the parametrised version where the parameter is the team size. We show that a polynomial delay can be reached for polynomials and otherwise in the parametrised setting we reach FPT delay. However, the constructed enumeration algorithm with polynomial delay requires exponential space. We show that an incremental polynomial delay algorithm exists which uses polynomial space only. Negatively, we show that for the general problem without restricting the team size, an enumeration algorithm running in polynomial space cannot exist.

Keywords

    cs.LO, cs.CC

ASJC Scopus subject areas

Cite this

Enumeration complexity of poor man’s propositional dependence logic. / Meier, Arne; Reinbold, Christian.
Foundations of Information and Knowledge Systems: 10th International Symposium, FoIKS 2018, Budapest, Hungary, May 14–18, 2018, Proceedings. ed. / Stefan Woltran; Flavio Ferrarotti. 1. ed. Springer Verlag, 2018. p. 303-321 (Lecture Notes in Computer Science (LNCS); Vol. 10833), (Information Systems and Applications, incl. Internet/Web, and HCI (LNISA)).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Meier, A & Reinbold, C 2018, Enumeration complexity of poor man’s propositional dependence logic. in S Woltran & F Ferrarotti (eds), Foundations of Information and Knowledge Systems: 10th International Symposium, FoIKS 2018, Budapest, Hungary, May 14–18, 2018, Proceedings. 1. edn, Lecture Notes in Computer Science (LNCS), vol. 10833, Information Systems and Applications, incl. Internet/Web, and HCI (LNISA), Springer Verlag, pp. 303-321, 10th International Symposium on Foundations of Information and Knowledge Systems, FoIKS 2018, Budapest, Hungary, 14 May 2018. https://doi.org/10.48550/arXiv.1704.03292, https://doi.org/10.1007/978-3-319-90050-6_17
Meier, A., & Reinbold, C. (2018). Enumeration complexity of poor man’s propositional dependence logic. In S. Woltran, & F. Ferrarotti (Eds.), Foundations of Information and Knowledge Systems: 10th International Symposium, FoIKS 2018, Budapest, Hungary, May 14–18, 2018, Proceedings (1. ed., pp. 303-321). (Lecture Notes in Computer Science (LNCS); Vol. 10833), (Information Systems and Applications, incl. Internet/Web, and HCI (LNISA)). Springer Verlag. https://doi.org/10.48550/arXiv.1704.03292, https://doi.org/10.1007/978-3-319-90050-6_17
Meier A, Reinbold C. Enumeration complexity of poor man’s propositional dependence logic. In Woltran S, Ferrarotti F, editors, Foundations of Information and Knowledge Systems: 10th International Symposium, FoIKS 2018, Budapest, Hungary, May 14–18, 2018, Proceedings. 1. ed. Springer Verlag. 2018. p. 303-321. (Lecture Notes in Computer Science (LNCS)). (Information Systems and Applications, incl. Internet/Web, and HCI (LNISA)). Epub 2018 Apr 18. doi: 10.48550/arXiv.1704.03292, 10.1007/978-3-319-90050-6_17
Meier, Arne ; Reinbold, Christian. / Enumeration complexity of poor man’s propositional dependence logic. Foundations of Information and Knowledge Systems: 10th International Symposium, FoIKS 2018, Budapest, Hungary, May 14–18, 2018, Proceedings. editor / Stefan Woltran ; Flavio Ferrarotti. 1. ed. Springer Verlag, 2018. pp. 303-321 (Lecture Notes in Computer Science (LNCS)). (Information Systems and Applications, incl. Internet/Web, and HCI (LNISA)).
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