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The birth of the contradictory component in random 2-SAT
We prove that, with high probability, the contradictory components of a ...
04/23/2019 ∙ by Sergey Dovgal, et al. ∙
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Percolation and Phase Transition in SAT
Erdös and Rényi proved in 1960 that a drastic change occurs in a large r...
07/12/2017 ∙ by Jordi Levy, et al. ∙
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On the Average Similarity Degree between Solutions of Random k-SAT and Random CSPs
To study the structure of solutions for random k-SAT and random CSPs, th...
08/11/2000 ∙ by Ke Xu, et al. ∙
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Phase Transition for Random Quantified XOR-Formulas
The QXORSAT problem is the quantified version of the satisfiability prob...
10/12/2011 ∙ by N. Creignou, et al. ∙
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Exact enumeration of satisfiable 2-SAT formulae
We obtain exact expressions counting the satisfiable 2-SAT formulae and ...
08/18/2021 ∙ by Sergey Dovgal, et al. ∙
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Relaxation in graph coloring and satisfiability problems
Using T=0 Monte Carlo simulation, we study the relaxation of graph color...
10/13/1998 ∙ by Pontus Svenson, et al. ∙
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A Multistage View on 2-Satisfiability
We study q-SAT in the multistage model, focusing on the linear-time solv...
11/04/2020 ∙ by Till Fluschnik, et al. ∙
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The SAT Phase Transition
05/22/2000 ∙ by Ke Xu, et al. ∙
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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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