The Statistical Mechanics of k-Satisfaction

Kirkpatrick, Scott, Györgyi, Géza, Tishby, Naftali, Troyansky, Lidror

Neural Information Processing Systems 

The satisfiability of random CNF formulae with precisely k variables per clause ("k-SAT") is a popular testbed for the performance of search algorithms. Formulae have M clauses from N variables, randomly negated, keeping the ratio a M / N fixed.

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