## Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

# Mittagsseminar (in cooperation with M. Ghaffari, A. Steger and B. Sudakov)

 Mittagsseminar Talk Information

Date and Time: Thursday, March 24, 2011, 12:15 pm

Duration: This information is not available in the database

Location: CAB G51

Speaker: Ramamohan Paturi (UC San Diego)

## Complexity of Evaluating Quantified k-CNFs

We relate the exponential complexities of k-SAT and the exponential complexity \Pi_2 3-SAT (evaluating formulas of the form \forall \vec{x} \exists \vec{y} \phi (\vec{x},\vec{y}) where $\phi$ is a 3-CNF in \vec{x} variables and \vec{y} variables) and show that if we assume the Strong Exponential-Time Hypothesis, then there is no algorithm for \Pi_2 3-SAT running in time 2^{cn} with c<1.

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