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Asymptotic Classes

Proposition: For every variable n and terms S and T, the phrase

S < n T
is a proposition with bound variable n which is read as "S is strictly dominated by T" and that is equivalent to
S = On(T) /\  T != On(S).

Means to compare the growth of classes of functions.


Author: Wolfgang Schreiner
Last Modification: December 14, 1999

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