Resource bounds for parallel computation of threshold and symmetric functions
نویسندگان
چکیده
منابع مشابه
Lower Bounds for Threshold and Symmetric Functions in Parallel Computation
We consider the family of decision problems of the threshold languages L g. A threshold language L g is the set of n bit vectors having at least g(n) \1"s. Using a new technique for controlling the size and structure of a hypergraph by a potential function, we prove lower bounds for these decision problems on a PRIORITY PRAM with m shared memory cells and any polynomial number of processors. Th...
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The multiplication operation and the computation of symmetric functions are fundamental problems in arithmetic and algebraic computation. We describe unit-weight threshold circuits to perform the multiplication of two n-bit integers, which have fan-in k, edge complexity O(n 2+1=d), and depth O(log d + log n= log k), for any xed integer d > 0. For a given fan-in, our constructions have considera...
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ژورنال
عنوان ژورنال: Journal of Computer and System Sciences
سال: 1991
ISSN: 0022-0000
DOI: 10.1016/0022-0000(91)90042-4