Wednesday, February 18, 2015
10:00 am
Annenberg 308

TCS+ Talk

Proof of the satisfiability conjecture for large k
Allan Sly, UC Berkeley

Available remotely at Google Hangouts: 


We establish the random k-SAT threshold conjecture for all k
exceeding an absolute constant k_0. That is, there is a single critical
value \alpha_c(k) such that a random k-SAT formula at clause-to-variable
ratio \alpha is with high probability satisfiable for
\alpha<\alpha_c(k), and unsatisfiable for \alpha>\alpha_c(k). The
threshold \alpha_c(k) matches the explicit prediction derived by
statistical physicists on the basis of the one-step replica symmetry
breaking (1RSB) heuristic.

Joint work with Jian Ding and Nike Sun. 
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