Characterizing SAT Problems with the Row Convexity Property

Using the literal encoding of the satisfiability problem (SAT) as a binary constraint satisfaction problem (CSP), we relate the path consistency concept and the row convexity of CSPs with the inference rules in the propositional logic field. Then, we use this result to propose a measure characterizing satisfiable and unsatisfiable 3-SAT instances. The correlation between the computational results allows us to validate this measure.