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Subject: Re: A final stab at big-O

Author: Ricardo Gibert

Date: 15:20:59 05/09/01

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On May 09, 2001 at 17:40:16, Dann Corbit wrote:

>On May 09, 2001 at 17:32:27, Ricardo Gibert wrote:
>[snip]
>References: A. S. Fraenkel and D. Lichtenstein, Computing a perfect strategy for
>n*n chess requires time exponential in n, Proc. 8th Int. Coll. Automata,
>Languages, and Programming, Springer LNCS 115 (1981) 278-293 and J. Comb. Th. A
>31 (1981) 199-214.
>
>FCOL

n is clearly finite, but unbounded in the above, so the time required is
exponential. All quite correct. This is a perfect example that makes *my* case.
The authors clearly understand about big-O perfectly. They took the pains to
generalize the problem to n*n chess. They didn't just say chess, because they
understood perfectly that that would not be correct, which is all that I've been
saying.

It's clear people cannot tell when a variable is bounded or unbounded and what
is meant by finite and infinite and when a variable has been instantiated and
when it has not and what the difference between an instantiated variable and a
constant, etc.




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