Philip,

> The discussion at times seems to have progressed on the basis that
> AIXI / AIXItl could choose to do all sorts amzing, powerful things.  But
> what I'm uncear on is what generates the infinite space of computer
> programs?
>
> Does AIXI / AIXItl itself generate these programs?  Or does it tap other
> entities programs?

AIXI is not a physically realizable system, it's just a hypothetical
mathematical entity.  It could never actually be built, in any universe.

AIXItl is physically realizable in theory, but probably never in our
universe... it would require too much computational resources.  (Except for
trivially small values of the parameters t and l, which would result in a
very dumb AIXItl, i.e. probably dumber than a beetle.)

The way they work is to generate all possible programs (AIXI) or all
possible programs of a given length l (AIXItl).  (It's easy to write a
program that generates all possible programs, the problem is that it runs
forever ;).

-- Ben G

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