Asynchronous Evolutionary Algorithm for Finding Backdoors in Boolean Satisfiability

Artem Pavlenko, Daniil Chivilikhin, Alexander A. Semenov

Abstract: In this work we propose an asynchronous parallel evolutionary algorithm that is efficient for a specific type of gray-box optimization problems, in which the calculation of the fitness function may be split into a set of several independent calculations. An example of such an optimization problem is the search for backdoors (hidden structures) in the Boolean satisfiability problem: subsets of variables that allow an efficient splitting of the problem into a set of independent subproblems. Our experiments show that the proposed asynchronous approach allows speeding up the algorithm considerably, while also effi-ciently utilizing comnuting cluster time.