I have produced a mathematical model for recursive self improvement and would 
appreciate any comments before I publish this.

http://www.mattmahoney.net/rsi.pdf

In the paper, I try to give a sensible yet precise definition of what it means 
for a program to have a goal. Then I describe infinite sequences of programs 
that improve with respect to reaching a goal within fixed time bounds, and 
finally I give an example (in C) of a program that outputs the next program in 
this sequence. Although it is my long sought goal to prove or disprove RSI, it 
doesn't entirely resolve the question because the rate of knowledge gain is 
O(log n) and I prove that is the best you can do given fixed goals.

-- Matt Mahoney, [EMAIL PROTECTED]


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agi
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