TY - JOUR A1 - Schnorr, Claus Peter T1 - Satisfiability is quasilinear complete in NQL T2 - Journal of the Association for Computing Machinery N2 - Considered are the classes QL (quasilinear) and NQL (nondet quasllmear) of all those problems that can be solved by deterministic (nondetermlnlsttc, respectively) Turmg machines in time O(n(log n) ~) for some k Effloent algorithms have time bounds of th~s type, it is argued. Many of the "exhausUve search" type problems such as satlsflablhty and colorabdlty are complete in NQL with respect to reductions that take O(n(log n) k) steps This lmphes that QL = NQL iff satisfiabdlty is m QL CR CATEGORIES: 5.25 KW - NP-complete problems KW - nondetermmistlc Turing machines KW - logical networks KW - satlsfiablhty KW - colorabdity KW - graph isomorphism KW - clique problem Y1 - 2005 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/3327 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30-20860 VL - 25 IS - 1 SP - 136 EP - 145 PB - Association for Computing Machinery CY - New York, NY ER -