منابع مشابه
Vapnik-chervonenkis Classes of Definable Sets
We show that a class of subsets of a structure uniformly definable by a first-order formula is a Vapnik-Chervonenkis class if and only if the formula does not have the independence property. Via this connection we obtain several new examples of Vapnik-Chervonenkis classes, including sets of positivity of finitely subanalytic functions.
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Shripad Thite May 11, 1998 Abstra t The ounting omplexity lasses are de ned in terms of the number of a epting omputation paths of nondetereministi polynomial-time Turing ma hines. They are, therefore, the ounting versions of de ision problems in NP. We review the properties of well-known ounting lasses like #P, P, GapP, SPP et . We also give an overview of the proof of Toda's theorem that rela...
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We compute the number of triangulations of a convex k-gon each of whose sides is subdivided by r−1 points. We find explicit formulas and generating functions, and we determine the asymptotic behaviour of these numbers as k and/or r tend to infinity. We connect these results with the question of finding the planar set of points in general position that has the minimum possible number of triangul...
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We define counting classes #BPP and #BQP as natural extensions of the classical well-studied one #P to the randomized and quantum cases. It is then shown that P#P = P#BQP.
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ژورنال
عنوان ژورنال: Journal of Computer and System Sciences
سال: 1994
ISSN: 0022-0000
DOI: 10.1016/s0022-0000(05)80024-8