Second Moment Method on k-SAT: a General Framework
Thomas Hugel, Yacine Boufkhad
TL;DR
This paper introduces a comprehensive framework for applying the Second Moment Method to k-SAT problems, enabling analysis of boolean solutions and implicants, and extending to distributional models.
Contribution
It provides a general framework for the Second Moment Method on k-SAT, detailing conditions for its success and broadening its applicability.
Findings
Framework successfully applies to boolean solutions and implicants
Extends the Second Moment Method to distributional k-SAT models
Identifies conditions for the method's effectiveness in this context
Abstract
We give a general framework implementing the Second Moment Method on k-SAT and discuss the conditions making the Second Moment Method work in this framework. As applications, we make the Second Moment Method work on boolean solutions and implicants. We extend this to the distributional model of k-SAT.
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Taxonomy
TopicsConstraint Satisfaction and Optimization · Advanced Topology and Set Theory · Data Management and Algorithms