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In Proceedings
| Citation key | FMM-Monomials-In-Arithmetic-Circuits-Complete-Problems-In-The-Counting-Hierarchy |
|---|---|
| Author | Hervé Fournier and Guillaume Malod and Stefan Mengel |
| Title of Book | Proceedings Symposium on Theoretical Aspects of Computer Science (STACS) 2012 |
| Year | 2012 |
| 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. |