An algorithm for Exact Satisfiability analysed with the number of clauses as parameter

被引:8
作者
Madsen, BA [1 ]
机构
[1] Univ Aarhus, BRICS, Dept Comp Sci, Aarhus, Denmark
关键词
Exact satisfiability; analysis of algorithms;
D O I
10.1016/j.ipl.2005.08.011
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We give an algorithm for Exact Satisfiability with polynomial space usage and a time bound of poly(L) (.) m!, where m is the number of clauses and L is the length of the formula. Skjernaa has given an algorithm for Exact Satistiability with time bound poly(L) (.) 2(m) but using exponential space. We leave the following problem open: Is there an algorithm for Exact Satisfiability using only polynomial space with a time bound of c(m), where c is a constant and m is the number of clauses? (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:28 / 30
页数:3
相关论文
共 11 条
[1]   New algorithms for Exact Satisfiability [J].
Byskov, JM ;
Madsen, BA ;
Skjernaa, B .
THEORETICAL COMPUTER SCIENCE, 2005, 332 (1-3) :515-541
[2]   Enumerating maximal independent sets with applications to graph colouring [J].
Byskov, JM .
OPERATIONS RESEARCH LETTERS, 2004, 32 (06) :547-556
[3]  
Dantsin E, 2004, LECT NOTES COMPUT SC, V2996, P141
[4]  
DANTSIN E, 2004, P 7 INT C THEOR APPL, P69
[5]   New worst-case upper bounds for SAT [J].
Hirsch, EA .
JOURNAL OF AUTOMATED REASONING, 2000, 24 (04) :397-420
[6]  
KRIEKEN MV, 2004, 44 TILB U CTR EC RES
[7]  
Monien B., 1981, METHODS OPERATIONS R, V43, P419
[8]  
Porschen S, 2005, LECT NOTES COMPUT SC, V3381, P278
[9]  
Rosenthal J. W., 1992, Annals of Mathematics and Artificial Intelligence, V6, P185, DOI 10.1007/BF01531028
[10]  
Schaefer T. J., 1978, C RECORD 10 ANN ACM, P216, DOI DOI 10.1145/800133.804350