title: NP-completeness notions under strong hypotheses creator: Bentzien, Levke subject: ddc-510 subject: 510 Mathematics description: A variety of completeness notions for the complexity class NP are studied under strong hypotheses about the size of this class. These hypotheses are based on the concept of resource-bounded genericity developed by Ambos-Spies, Fleischhack and Huwig. It is shown that many natural completeness notions for NP can be separated under such hypotheses. E.g., Turing- and truth-table-completeness, truth-table- and bounded-truth-table-completeness (btt-completeness), btt-completeness with two allowed queries and btt-completeness with three allowed queries, and others. date: 2000 type: Dissertation type: info:eu-repo/semantics/doctoralThesis type: NonPeerReviewed format: application/pdf identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/1384/1/NPCompleteness.pdf identifier: DOI:10.11588/heidok.00001384 identifier: urn:nbn:de:bsz:16-opus-13840 identifier: Bentzien, Levke (2000) NP-completeness notions under strong hypotheses. [Dissertation] relation: https://archiv.ub.uni-heidelberg.de/volltextserver/1384/ rights: info:eu-repo/semantics/openAccess rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html language: eng