Title
On the complexity of SAT
Abstract
We show that non-deterministic time NTIME(n) is not contained in deterministic time n2-ε and polylogarithmic space, for any ε>0. This implies that (infinitely often), satisfiability cannot be solved in time O(n2-ε) and polylogarithmic space. A similar result is presented for uniform circuits; a log-space uniform circuit of polylogarithmic width computing satisfiability requires infinitely often almost quadratic size
Year
DOI
Venue
1999
10.1109/SFFCS.1999.814618
New York City, NY
Keywords
Field
DocType
computability,computational complexity,theorem proving,NTIME,SAT complexity,almost quadratic size,deterministic time,log-space uniform circuit,non-deterministic time,polylogarithmic space,polylogarithmic width,satisfiability,uniform circuits
Discrete mathematics,Combinatorics,Satisfiability,Automated theorem proving,Quadratic equation,Computability,NC,NTIME,Mathematics,Computational complexity theory
Conference
ISSN
ISBN
Citations 
0272-5428
0-7695-0409-4
21
PageRank 
References 
Authors
0.93
24
2
Name
Order
Citations
PageRank
Richard J. Lipton164121796.57
Anastasios Viglas219715.97