Detecting Backdoor Sets with Respect to Horn and Binary Clauses.

作者: Stefan Szeider , Naomi Nishimura , Prabhakar Ragde

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摘要: We study the parameterized complexity of detecting backdoor sets for instances propositional satisfiability problem (SAT) with respect to polynomially solvable classes horn and 2-cnf. A set is a subset variables; strong set, simplified formulas resulting from any setting these variables in class, weak there exists one which puts satisfiable formula class. show that both 2-cnf classes, detection fixed-parameter tractable (the existence size k length N can be decided time f(k)NO(1)), but W[2]-hard, implying this not tractable.

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