A lower bound for DLL algorithms for k-SAT

被引:0
作者
Pudlák, P
Impagliazzo, R
机构
来源
PROCEEDINGS OF THE ELEVENTH ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS | 2000年
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中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
There exist constants c(k) > 0, c(k) --> 0 as k --> infinity, such that every DLL algorithm for the satsfiability of sets of disjunctions of size less than or equal to k using m variables runs for at least Omega(2(m(1-ck))) steps on some inputs. Our proof is based on proving such a lower bound on the tree-like resolution proofs of generalized Tseitin tautologies.
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页码:128 / 136
页数:3
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