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CCA
2009
Springer
16 years 1 months ago
Relativizations of the P =? DNP Question for the BSS Model
We consider the uniform BSS model of computation where the machines can perform additions, multiplications, and tests of the form x ≥ 0. The oracle machines can also check whethe...
Christine Gaßner
TLCA
2001
Springer
15 years 11 months ago
Subtyping Recursive Games
Using methods drawn from Game Semantics, we build a sound and computationally adequate model of a simple calculus that includes both subtyping and recursive types. Our model solves...
Juliusz Chroboczek
CSR
2006
Springer
15 years 10 months ago
Complexity of Polynomial Multiplication over Finite Fields
Let Mq (n ) denote the number of multiplications required to compute the coefficients of the product of two polynomials of degree n over a q -element field by means of bilinear alg...
Michael Kaminski
163
Voted
FOCS
2007
IEEE
16 years 1 months ago
A Lower Bound for the Size of Syntactically Multilinear Arithmetic Circuits
We construct an explicit polynomial f(x1, . . . , xn), with coefficients in {0, 1}, such that the size of any syntactically multilinear arithmetic circuit computing f is at least ...
Ran Raz, Amir Shpilka, Amir Yehudayoff
157
Voted
FOCS
2007
IEEE
16 years 1 months ago
Pseudorandom Bits for Polynomials
We present a new approach to constructing pseudorandom generators that fool lowdegree polynomials over finite fields, based on the Gowers norm. Using this approach, we obtain th...
Andrej Bogdanov, Emanuele Viola