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14

DAGSTUHL
2007

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Diagonal Circuit Identity Testing and Lower Bounds

13 years 6 months ago

Diagonal Circuit Identity Testing and Lower Bounds

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In this paper we give the ﬁrst deterministic polynomial time algorithm for testing whether a diagonal depth-3 circuit C(x1, . . . , xn) (i.e. C is a sum of powers of linear functions) is zero. We also prove an exponential lower bound showing that such a circuit will compute determinant or permanent only if there are exponentially many linear functions. Our techniques generalize to the following new results:

Nitin Saxena

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DAGSTUHL 2007 | Deterministic Polynomial Time | Diagonal Depth-3 Circuit | Linear Functions | Software Engineering |

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Added	29 Oct 2010
Updated	29 Oct 2010
Type	Conference
Year	2007
Where	DAGSTUHL
Authors	Nitin Saxena

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