Sufficient condition for polynomial solvability of random 3-CNF formulas

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Abstract

This paper is devoted to the localisation of random 3-CNF formulas that are polynomially solvable by the resolution algorithm. It is shown that random formulas with the number of clauses proportional to the square of the number of variables, are polynomially solvable with probability close to unity when the proportionality coefficient exceeds the found threshold.

About the authors

S. I. Uvarov

V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences

Author for correspondence.
Email: suvarov@ipu.ru
Russian Federation, Moscow

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