2023/05/17 by Vigouroux, Thomas, Bozga, Marius, Ene, Cristian +1
#Cryptography and Security (cs.CR) #FOS: Computer and information sciences #Logic in Computer Science (cs.LO)
paper · doi:10.48550/arxiv.2305.10003
Given a boolean formula Φ(X, Y, Z), the Max#SAT problem asks for finding a partial model on the set of variables X, maximizing its number of projected models over the set of variables Y. We investigate a strict generalization of Max#SAT allowing dependencies for variables in X, effectively turning it into a synthesis problem. We show that this new problem, called DQMax#SAT, subsumes both the DQBF and DSSAT problems. We provide a general resolution method, based on a reduction to Max#SAT, together with two improvements for dealing with its inherent complexity. We further discuss a concrete application of DQMax#SAT for symbolic synthesis of adaptive attackers in the field of program security. Finally, we report preliminary results obtained on the resolution of benchmark problems using a prototype DQMax#SAT solver implementation.