Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Tuesday, June 24, 2014, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Timon Hertli

Randomized k-SAT counting

We present a zero-error randomized algorithm for #k-SAT by Impagliazzo, Matthews, and Paturi [1]. The algorithm is a corollary to a more general algorithm for bounded depth circuits based on Håstad's switching lemma.

Noteworthy is that this algorithm is much faster (for large k) than the best known determinstic algorithm. The randomized algorithm runs in 2^(1-1/(30k))n, whereas the deterministic algorithm takes time approximately 2^{(1-1/(2^k))n} (n denotes the number of variables).

[1] Russell Impagliazzo, William Matthews, and Ramamohan Paturi: A Satisfiability Algorithm for AC0 (SODA, 2012)

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