A lower bound for DLL algorithms for k-SAT (preliminary version)

نویسندگان

  • Pavel Pudlák
  • Russell Impagliazzo
چکیده

There exist constants c k > 0, c k ! 0 as k ! 1, such that every DLL algorithm for the satissability of sets of disjunctions of size k using m variables runs for at least (2 m(1?c k)) 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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تاریخ انتشار 2000