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Subject: Re: A final stab at big-O

Author: Uri Blass

Date: 15:06:36 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

The dimension of the board here is a variable and the problem of solving chess
means to 8*8.

Here n is not bounded  so you can say that it is not O(1) and even exponential.

You can say that from computer's point of view n is bounded because the computer
has not enough memory for very big numbers but the bound is so big that for
practical purpose we can assume that n is not bounded.

Uri



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