Generating Diverse Solutions in SAT
نویسنده
چکیده
This paper considers the DiversekSet problem in SAT, that is, the problem of efficiently generating a number of diverse solutions (satisfying assignments) given a propositional formula. We provide an extensive analysis of existing algorithms for this problem in a newly developed framework and propose new algorithms. While existing algorithms adapt modern SAT solvers to solve DiversekSet by changing their polarity selection heuristic, our new algorithms adapt the variable ordering strategy as well. Our experimental results demonstrate that the proposed algorithms improve the diversification quality of the solutions on large industrial instances of DiversekSet arising in SAT-based semiformal verification of hardware.
منابع مشابه
Generating 'Random' 3-SAT Instances with Specific Solution Space Structure
Generating good benchmarks is important for the evaluation and improvement of any algorithm for NP-hard problems such as the Boolean satisfiability (SAT) problem. Carefully designed benchmarks are also helpful in the study of the nature of NP-completeness . Probably the most well-known and successful story is the discovery of the phase transition phenomenon (Cheeseman, Kanefsky, and Taylor 1991...
متن کاملFinding Hard Instances of the Satisfiability Problem
Finding sets of hard instances of propositional satissability is of interest for understanding the complexity of SAT, and for experimentally evaluating SAT algorithms. In discussing this we consider the performance of the most popular SAT algorithms on random problems, the theory of average case complexity, the threshold phenomenon, known lower bounds for certain classes of algorithms, and the ...
متن کاملConstructing SAT Filters with a Quantum Annealer
SAT filters are a novel and compact data structure that can be used to quickly query a word for membership in a fixed set. They have the potential to store more information in a fixed storage limit than a Bloom filter. Constructing a SAT filter requires sampling diverse solutions to randomly constructed constraint satisfaction instances, but there is flexibility in the choice of constraint sati...
متن کاملA Case for Efficient Solution Enumeration
SAT solvers have been ranked primarily by the time they take to find a solution or show that none exists. And indeed, for many problems that are reduced to SAT, finding a single solution is what matters. As a result, much less attention has been paid to the problem of efficiently generating all solutions. This paper explains why such functionality is useful. We outline an approach to automatic ...
متن کاملMinimal Model Generation with respect to an Atom Set
This paper studies minimal model generation for SAT instances. In this study, we minimize models with respect to an atom set, and not to the whole atom set. In order to enumerate minimal models, we use an arbitrary SAT solver as a subroutine which returns models of satisfiable SAT instances. In this way, we benefit from the year-byyear progress of efficient SAT solvers for generating minimal mo...
متن کامل