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JOURNALS // Intelligent systems. Theory and applications // Archive

Intelligent systems. Theory and applications, 2019 Volume 23, Issue 3, Pages 35–40 (Mi ista236)

Part 2. Special Issues in Intellectual Systems Theory

Graph based extended resolution for Boolean formulas

G. V. Bokov


Abstract: In this article we consider a graph based extended resolution for representing refutations of Boolean formulas in conjunction normal form. We prove that a Boolean formula is unsatisfiable iff there is its graph based refutation.

Keywords: Resolution, graph based refutation, unsatisfiability, Boolean formulas.



© Steklov Math. Inst. of RAS, 2026