| A. Chiu, G. Davida, and B. Litow. NC1 division. Manuscript, November 1999. |
....and 2n 1 internal nodes. Thus, the entire process can be performed with depth O( log n) 2 ) and size O(n 3 ) There are alternative methods for performing iterated multiplication achieving various combinations of depth and size. In particular, it was recently proved by Chiu, Davida, and Litow [9] (improving on results in [4] that a product such as we have above can be computed by O(log n) depth boolean circuits of polynomial size. While the size is likely to exceed the O(n 3 ) bound obtained above, the result has an interesting consequence regarding simulations of logarithmic depth ....
A. Chiu, G. Davida, and B. Litow. NC1 division. Manuscript, November 1999.
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A. Chiu, G. Davida, and B. Litow. NC1 division. Manuscript, November 1999.
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