Generating Models of a Matched Formula With a Polynomial Delay

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Generating models of a matched formula with a polynomial delay

A matched formula is a CNF formula, such that the system of the sets of the variables, which appear in individual clauses, has a system of distinct representatives. Such a formula is always satisfiable. Matched formulas are used, for example, in the area of parametrized complexity. We prove that the problem of counting the number of the models (satisfying assignments) of a matched formula is #P...

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Generating Models of a Matched Formula With a Polynomial Delay (Extended Abstract)

A matched formula is a CNF formula whose incidence graph admits a matching which matches a distinct variable to every clause. Such a formula is always satisfiable. Matched formulas are used, for example, in the area of parameterized complexity. We prove that the problem of counting the number of the models (satisfying assignments) of a matched formula is #P-complete. On the other hand, we defin...

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ژورنال

عنوان ژورنال: Journal of Artificial Intelligence Research

سال: 2016

ISSN: 1076-9757

DOI: 10.1613/jair.4989