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[personal profile] gusl
I think so. It's almost required of believers in strong AI.

This afternoon, I had a colleague tell me that humans are superior to computers because we are not Turing machines, so we aren't subject to the halting problem. I told his arguments sounded a lot like Penrose's fallacious anti-strong-AI arguments.
We argued for about 10 minutes and then I gave up convincing him.

Crispin Cowan on the metaphysical implications of humans being Turing machines.

Boyer and Moore have a machine prove the Halting Problem

Re: hmm

Date: 2003-06-26 11:05 pm (UTC)
From: [identity profile] gustavolacerda.livejournal.com
I agree with you now. Thanks for refreshing my knowledge, and adding to my understanding.
It was counterintuitive for me that we can't decide 0^m 1^m.

A Turing Machine with finite tape (or a PA with a finite stack) is just a DFA. It only has finite memory, and just like the computer program, we can "simulate" it with a DFA, each of whose states represents the complete state of the tape and the position of the head.

That's an insight I should have had back when I studied Theory of Computation, but for some reason I didn't (I don't think the prof showed it either). I guess I was just sick of the whole thing.

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