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Restarts are a widely-used class of techniques integral to the efficiency of Conflict-Driven Clause Learning (CDCL) Boolean SAT solvers. While the utility of such policies has been well-established empirically, a theoretical understanding of whether restarts are indeed crucial to the power of CDCL solvers is missing. In this paper, we prove a series of theoretical results that characterize the power of restarts for various models of SAT solvers. More precisely, we make the following contributions. First, we prove an exponential separation between a drunk randomized CDCL solver model with restarts and the same model without restarts using a family ofmore »
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Pal, Anandita ; Al‐Shaer, Abrar E. ; Guesdon, William ; Torres, Maria J. ; Armstrong, Michael ; Quinn, Kevin ; Davis, Traci ; Reisdorph, Nichole ; Neufer, P. Darrell ; Spangenburg, Espen E. ; et al ( , The FASEB Journal)