PARITY, SKEIN POLYNOMIALS AND CATEGORIFICATION
نویسندگان
چکیده
منابع مشابه
The Correlation Between Parity and Quadratic Polynomials
We prove exponentially small upper bounds on the correlation between parity and quadratic polynomials mod 3. One corollary of this is that in order to compute parity, circuits consisting of a threshold gate at the top, mod 3 gates in the middle, and AND gates of fan-in two at the inputs must be of size 2. This is the first result of this type for general mod 3 subcircuits with ANDs of fan-in gr...
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Before we talk about bounds on the size of a circuit, let us first clarify what we mean by circuit depth and circuit size. The depth of a circuit is defined as the length of the longest path from the input to output. The size of a circuit is the number of AND and OR gates in the circuit. Note that, for our purpose, we assume all the gates have unlimited fan-in and fan-out. We define AC0 to be t...
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متن کاملThe Correlation Between Parity and Quadratic Polynomials Mod 3
We prove exponentially small upper bounds on the correlation between parity and quadratic polynomials mod 3: One corollary of this is that in order to compute parity, circuits consisting of a threshold gate at the top, mod 3 gates in the middle, and AND gates of fan-in two at the inputs must be of size 2OðnÞ: This is the first result of this type for general mod 3 subcircuits with ANDs of fan-i...
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2012
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216512400111