Vladimir_Nesov comments on Dreams of AIXI - Less Wrong

-1 Post author: jacob_cannell 30 August 2010 10:15PM

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Comment author: jimrandomh 31 August 2010 06:24:56AM 4 points [-]

There is an enormous difference between the formal mathematical definition of "computable", and "able to be run by a computer that could be constructed in this universe". AIXI is computable in the mathematical sense of being written as a computer program that will provably halt in finitely many steps, but it is not computable in the sense of it being possible to run it, even by using all the resources in the observable universe optimally, because the runtime complexity of AIXI is astronomically larger than the universe is.

Comment author: Vladimir_Nesov 31 August 2010 09:44:20AM *  5 points [-]

AIXI is computable in the mathematical sense of being written as a computer program that will provably halt in finitely many steps

AIXI's decision procedure is not computable (but AIXItl's is). (Link)