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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > ALGEBRAIC FORMULAS:
Reports tagged with Algebraic formulas:
TR23-009 | 14th February 2023
Hervé Fournier, Nutan Limaye, Guillaume Malod, Srikanth Srinivasan, Sébastien Tavenas

Towards Optimal Depth-Reductions for Algebraic Formulas

Classical results of Brent, Kuck and Maruyama (IEEE Trans. Computers 1973) and Brent (JACM 1974) show that any algebraic formula of size s can be converted to one of depth O(log s) with only a polynomial blow-up in size. In this paper, we consider a fine-grained version of this result ... more >>>




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