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» Parallelizing time with polynomial circuits
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CAP
2010
14 years 6 months ago
Parallel sparse polynomial interpolation over finite fields
We present a probabilistic algorithm to interpolate a sparse multivariate polynomial over a finite field, represented with a black box. Our algorithm modifies the algorithm of Ben...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
94
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FSTTCS
2006
Springer
15 years 3 months ago
Some Results on Average-Case Hardness Within the Polynomial Hierarchy
Abstract. We prove several results about the average-case complexity of problems in the Polynomial Hierarchy (PH). We give a connection among average-case, worst-case, and non-unif...
Aduri Pavan, Rahul Santhanam, N. V. Vinodchandran
COCO
2011
Springer
221views Algorithms» more  COCO 2011»
13 years 11 months ago
Non-uniform ACC Circuit Lower Bounds
The class ACC consists of circuit families with constant depth over unbounded fan-in AND, OR, NOT, and MODm gates, where m > 1 is an arbitrary constant. We prove: • NTIME[2n ...
Ryan Williams
DAGSTUHL
2006
15 years 1 months ago
Approximability of Minimum AND-Circuits
Given a set of monomials, the Minimum AND-Circuit problem asks for a circuit that computes these monomials using AND-gates of fan-in two and being of minimum size. We prove that t...
Jan Arpe, Bodo Manthey
83
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CORR
2010
Springer
120views Education» more  CORR 2010»
14 years 11 months ago
State machine models of timing and circuit design
This paper illustrates a technique for specifying the detailed timing, logical operation, and compositional circuit design of digital circuits in terms of ordinary state machines w...
Victor Yodaiken