Random k-GD-Sat Model and its Phase Transition

We present a new type of sat problem called the k-GD-SAT, which generalizes k-sat and GD-sat. In k-GD-SAT, clause lengths have geometric distribution, controlled by a probability parameter p; for p = 1, a k-GD-SAT problem is a k-SAT problem. We report on the phase transition between satisfiability and unsatisfiability for randomly generated instances of k-GD-SAT. We provide theoretical analysis and experimental results suggesting that there is an intriguing relationship (linear in the parameter 1/p) between crossover points for different parameters of k-GD-SAT. We also consider a relationship between crossover points for k-SAT and k-GD-SAT and provide links between these values

Random k-gd-sat Model and its Phase Transition

Abstract: We present a new type of sat problem called the k-gd-sat, which generalizes k-sat and gd-sat. In k-gd-sat, clause lengths have geometric distribution, controlled by a probability parameter p; for p = 1, a k-gd-sat problem is a k-sat problem. We report on the phase transition between satisfiability and unsatisfiability for randomly generated instances of k-gd-sat. We provide theoretical analysis and experimental results suggesting that there is an intriguing relationship (linear in the parameter 1/p) between crossover points for different parameters of k-gd-sat. We also consider a relationship between crossover points for k-sat and k-gd-sat and provide links between these values

Random k-gd-sat Model and its Phase Transition 1

Abstract: We present a new type of sat problem called the k-gd-sat, which generalizes k-sat and gd-sat. Ink-gd-sat, clause lengths have geometric distribution, controlled by a probability parameter p; forp =1,ak-gd-sat problem is a k-sat problem. We report on the phase transition between satisfiability and unsatisfiability for randomly generated instances of k-gd-sat. We provide theoretical analysis and experimental results suggesting that there is an intriguing relationship (linear in the parameter 1/p) between crossover points for different parameters of k-gd-sat. Wealso consider a relationship between crossover points for k-sat and k-gd-sat and provide links between these values