bkl,
1. What do you mean by "without a feedback loop...the instructions
will never change" when you are referring to Conway's Life? Which
instructions are you talking about? Are you talking about Conway's
rules?
2. I am having great difficulty understanding what could possibly be a
computer demonstration that would satisfy your criteria. There are
many demonstrations of evolutionary programming that evolve solutions
to problems, and which continue to evolve better solutions given more
running time. So if that does not satisfy your criteria, what would?
Can you describe a hypothetical demonstration that would satisfy your
criteria, in concrete terms? As an example of "concrete terms" here
is a hypothetical demonstration I suspect would satisfy your
criteria. If it does not, I would very much appreciate an alternative
example at a similar level of discriptive detail.
Example:
A computer program evolves chess playing strategies. Over time,
measurements of the program's performance are taken by assigning the
program a chess rating in the standard way (quarentine is not violated
since we test using copies of the program without modifiying the
original). On several subsequent measurements, the program's rating
improves, with no obvious maximum achievable rating. A maximum rating
would be "obvious" if there was a simple way to prove that the program
could not possibly surpass that rating given enough running time to
evolve better strategies. Thus, without the seeker supplying such a
proof, the program would satisfy the seeker's criteria of no obvious
maximum level of performance.
Mike