eprintid: 1384 rev_number: 8 eprint_status: archive userid: 1 dir: disk0/00/00/13/84 datestamp: 2000-11-20 00:00:00 lastmod: 2014-04-03 10:40:22 status_changed: 2012-08-14 15:01:06 type: doctoralThesis metadata_visibility: show creators_name: Bentzien, Levke title: NP-completeness notions under strong hypotheses title_de: NP-Vollständigkeitsbegriffe unter starken Annahmen ispublished: pub subjects: ddc-510 divisions: i-110400 adv_faculty: af-11 keywords: Generizität , ressourcenbeschränktcomplexity, nondeterminism , completeness , resource-bounded , genericity cterms_swd: Komplexitätstheorie cterms_swd: Nichtdeterminismus cterms_swd: Vollständigkeit abstract: 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. abstract_translated_lang: eng class_scheme: msc class_labels: 68Q15 date: 2000 date_type: published id_scheme: DOI id_number: 10.11588/heidok.00001384 ppn_swb: 1643181726 own_urn: urn:nbn:de:bsz:16-opus-13840 date_accepted: 2000-05-30 advisor: HASH(0x55fc36bfae18) language: eng bibsort: BENTZIENLENPCOMPLETE2000 full_text_status: public citation: Bentzien, Levke (2000) NP-completeness notions under strong hypotheses. [Dissertation] document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/1384/1/NPCompleteness.pdf