## On TC^0, AC^0, and Arithmetic Circuits (2000)

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Venue: | Journal of Computer and System Sciences |

Citations: | 18 - 6 self |

### BibTeX

@ARTICLE{Agrawal00ontc^0,,

author = {Manindra Agrawal and Eric Allender and Samir Datta},

title = {On TC^0, AC^0, and Arithmetic Circuits},

journal = {Journal of Computer and System Sciences},

year = {2000},

volume = {60},

pages = {2000}

}

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### Abstract

Continuing a line of investigation that has studied the function classes #P [Val79b], #SAC [Val79a, Vin91, AJMV], #L [AJ93b, Vin91, AO94], and #NC [CMTV96], we study the class of functions . One way to define #AC is as the class of functions computed by constant-depth polynomial-size arithmetic circuits of unbounded fan-in addition and multiplication gates. In contrast to the preceding # Part of this research was done while visiting the University of Ulm under an Alexander von Humboldt Fellowship.