@article{Fournier:2015aa,
    Abstract = {We consider the complexity of two questions on polynomials given by arithmetic circuits: testing whether a monomial is present and counting the number of monomials. We show that these problems are complete for subclasses of the counting hierarchy which had few or no known natural complete problems before. We also study these questions for circuits computing multilinear polynomials and for univariate multiplicatively disjoint circuits.},
    Author = {Fournier, Herv{\'e} and Malod, Guillaume and Mengel, Stefan},
    Date = {2015/03/01},
    File = {Monomials in arithmetic circuits- Complete problems in the counting hierarchy - s00037-013-0079-3.pdf},
    ISBN = {1420-8954},
    Journal = {computational complexity},
    Number = {1},
    Pages = {1--30},
    Title = {Monomials in Arithmetic Circuits: Complete Problems in the Counting Hierarchy},
    URL = {https://doi.org/10.1007/s00037-013-0079-3},
    Volume = {24},
    Year = {2015},
    bdsk-url-1 = {https://doi.org/10.1007/s00037-013-0079-3},
    date-added = {2023-04-28 16:11:01 +0200},
    date-modified = {2023-04-28 16:11:01 +0200},
    file-2 = {Monomials in arithmetic circuits- Complete problems in the counting hierarchy - monomials.pdf},
    id = {Fournier2015},
    doi = {10.1007/s00037-013-0079-3}
}

@article{Fournier:2015aa, Abstract = {We consider the complexity of two questions on polynomials given by arithmetic circuits: testing whether a monomial is present and counting the number of monomials. We show that these problems are complete for subclasses of the counting hierarchy which had few or no known natural complete problems before. We also study these questions for circuits computing multilinear polynomials and for univariate multiplicatively disjoint circuits.}, Author = {Fournier, Herv{\'e} and Malod, Guillaume and Mengel, Stefan}, Date = {2015/03/01}, File = {Monomials in arithmetic circuits- Complete problems in the counting hierarchy - s00037-013-0079-3.pdf}, ISBN = {1420-8954}, Journal = {computational complexity}, Number = {1}, Pages = {1--30}, Title = {Monomials in Arithmetic Circuits: Complete Problems in the Counting Hierarchy}, URL = {https://doi.org/10.1007/s00037-013-0079-3}, Volume = {24}, Year = {2015}, bdsk-url-1 = {https://doi.org/10.1007/s00037-013-0079-3}, date-added = {2023-04-28 16:11:01 +0200}, date-modified = {2023-04-28 16:11:01 +0200}, file-2 = {Monomials in arithmetic circuits- Complete problems in the counting hierarchy - monomials.pdf}, id = {Fournier2015}, doi = {10.1007/s00037-013-0079-3} }