23–26 May 2012
Ferry Stockholm-Mariehamn and Hotel Arkipelag, Mariehamn, Åland
Europe/Stockholm timezone

How to refute random nonsatisfiable formulas

24 May 2012, 09:00
45m
Ferry Stockholm-Mariehamn and Hotel Arkipelag, Mariehamn, Åland

Ferry Stockholm-Mariehamn and Hotel Arkipelag, Mariehamn, Åland

Speaker

Prof. Uriel Feige (Weizmann Institute)

Description

A 3SAT algorithm needs to correctly decide for every 3CNF formula whether it is satisfiable or not. We do not expect a 3SAT algorithm to run in polynomial time, because 3SAT is NP-hard. Nevertheless, a 3SAT algorithm may run in polynomial time on a substantial fraction of all 3SAT instances. Of particular interest to this talk are random instances of 3CNF formulas with very large density (clause to variable ratio). Such 3CNF formulas are unlikely to be satisfiable. 3SAT algorithms that terminate in polynomial time on most such instances (and always give the correct answer) are referred to as refutation heuristics. We shall survey some of the ideas used in the design of refutation heuristics.

Primary author

Prof. Uriel Feige (Weizmann Institute)

Presentation materials

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