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The SAT Phase Transition

Ke Xu·Wei Li
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Abstract

Phase transition is an important feature of SAT problem. For random k-SAT model, it is proved that as r (ratio of clauses to variables) increases, the structure of solutions will undergo a sudden change like satisfiability phase transition when r reaches a threshold point. This phenomenon shows that the satisfying truth assignments suddenly shift from being relatively different from each other to being very similar to each other.

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Ke Xu, Wei Li. 2000-05-23. The SAT Phase Transition. https://arxiv.org/abs/cs/0005024

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