Koepke Machines and Satisfiability for Infinitary Propositional Languages

dc.contributor.authorCarl, Merlin
dc.contributor.authorLöwe, Benedikt
dc.contributor.authorRin, Benjamin G.
dc.date.accessioned2018-02-23T10:06:24Z
dc.date.available2018-02-23T10:06:24Z
dc.date.issued2017-05-12eng
dc.description.abstractWe consider complexity theory for Koepke machines, also known as Ordinal Turing Machines (OTMs), and define infinitary complexity classes ∞-P and ∞-NP and the OTM analogue of the satisfiability problem, denoted by ∞-SAT. We show that ∞-SAT is in ∞-NP and ∞-NP-hard (i.e., the problem is ∞-NP-complete), but not OTM decidable.eng
dc.description.versionpublishedeng
dc.identifier.doi10.1007/978-3-319-58741-7_19eng
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/41575
dc.language.isoengeng
dc.subject.ddc510eng
dc.titleKoepke Machines and Satisfiability for Infinitary Propositional Languageseng
dc.typeINPROCEEDINGSeng
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@inproceedings{Carl2017-05-12Koepk-41575,
  year={2017},
  doi={10.1007/978-3-319-58741-7_19},
  title={Koepke Machines and Satisfiability for Infinitary Propositional Languages},
  number={10307},
  isbn={978-3-319-58740-0},
  issn={0302-9743},
  publisher={Springer},
  address={Cham},
  series={Lecture Notes in Computer Science},
  booktitle={Unveiling Dynamics and Complexity : 13th Conference on Computability in Europe, CiE 2017, Turku, Finland, June 12-16, 2017, Proceedings},
  pages={187--197},
  editor={Kari, Jarkko},
  author={Carl, Merlin and Löwe, Benedikt and Rin, Benjamin G.}
}
kops.citation.iso690CARL, Merlin, Benedikt LÖWE, Benjamin G. RIN, 2017. Koepke Machines and Satisfiability for Infinitary Propositional Languages. 13th Conference on Computability in Europe, CiE 2017. Turku, Finland, 12. Juni 2017 - 16. Juni 2017. In: KARI, Jarkko, ed. and others. Unveiling Dynamics and Complexity : 13th Conference on Computability in Europe, CiE 2017, Turku, Finland, June 12-16, 2017, Proceedings. Cham: Springer, 2017, pp. 187-197. Lecture Notes in Computer Science. 10307. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-319-58740-0. Available under: doi: 10.1007/978-3-319-58741-7_19deu
kops.citation.iso690CARL, Merlin, Benedikt LÖWE, Benjamin G. RIN, 2017. Koepke Machines and Satisfiability for Infinitary Propositional Languages. 13th Conference on Computability in Europe, CiE 2017. Turku, Finland, Jun 12, 2017 - Jun 16, 2017. In: KARI, Jarkko, ed. and others. Unveiling Dynamics and Complexity : 13th Conference on Computability in Europe, CiE 2017, Turku, Finland, June 12-16, 2017, Proceedings. Cham: Springer, 2017, pp. 187-197. Lecture Notes in Computer Science. 10307. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-319-58740-0. Available under: doi: 10.1007/978-3-319-58741-7_19eng
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kops.sourcefieldKARI, Jarkko, ed. and others. <i>Unveiling Dynamics and Complexity : 13th Conference on Computability in Europe, CiE 2017, Turku, Finland, June 12-16, 2017, Proceedings</i>. Cham: Springer, 2017, pp. 187-197. Lecture Notes in Computer Science. 10307. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-319-58740-0. Available under: doi: 10.1007/978-3-319-58741-7_19deu
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kops.sourcefield.plainKARI, Jarkko, ed. and others. Unveiling Dynamics and Complexity : 13th Conference on Computability in Europe, CiE 2017, Turku, Finland, June 12-16, 2017, Proceedings. Cham: Springer, 2017, pp. 187-197. Lecture Notes in Computer Science. 10307. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-319-58740-0. Available under: doi: 10.1007/978-3-319-58741-7_19eng
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source.titleUnveiling Dynamics and Complexity : 13th Conference on Computability in Europe, CiE 2017, Turku, Finland, June 12-16, 2017, Proceedingseng

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