We give a deterministic algorithm for testing satisfiability of formulas in conjunctive normal form with no restriction on clause length. Its upper bound on the worst-case running time matches the best known upper bound for randomized satisfiability-testing algorithms [Dantsin and Wolpert, SAT 2005]. In comparison with the randomized algorithm in ... more >>>

We give a randomized algorithm for testing satisfiability of Boolean formulas in conjunctive normal form with no restriction on clause length. Its running time is at most $2^{n(1-1/\alpha)}$ up to a polynomial factor, where $\alpha = \ln(m/n) + O(\ln \ln m)$ and $n$, $m$ are respectively the number of variables ... more >>>

Recently Schuler \cite{Sch03} presented a randomized algorithm that
solves SAT in expected time at most $2^{n(1-1/\log_2(2m))}$ up to a
polynomial factor, where $n$ and $m$ are, respectively, the number of
variables and the number of clauses in the input formula. This bound
is the best known ... more >>>

We present a simple randomized algorithm for SAT and prove an upper
bound on its running time. Given a Boolean formula F in conjunctive
normal form, the algorithm finds a satisfying assignment for F
(if any) by repeating the following: Choose an assignment A at
random and ... more >>>

We survey recent algorithms for the propositional
satisfiability problem, in particular algorithms
that have the best current worst-case upper bounds
on their complexity. We also discuss some related
issues: the derandomization of the algorithm of
Paturi, Pudlak, Saks and Zane, the Valiant-Vazirani
Lemma, and random walk ... more >>>