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Thomas Streicher  
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 More options Jun 18 2011, 6:25 pm
From: Thomas Streicher <streic...@mathematik.tu-darmstadt.de>
Date: Sat, 18 Jun 2011 15:25:37 -0700 (PDT)
Local: Sat, Jun 18 2011 6:25 pm
Subject: Re: A puzzle

> Well, wouldn't the natural genralization of T-predicate be something a
> relation T(n,m,a) where n is the machine code, n is the input, and a
> is whatever it takes to describe a computation? So what does describe
> a computation? A map from a countable ordinal to the Cantor space
> could do it. The important thing is to make T decidable in the topos,
> and as long as the type of a is overt, we'll be able to do the usual
> things with the T predicate, no?

Interesting idea but I think it is important that computations are
coded by natural numbers as well. At least in relative computability
that is still the case.

Thomas


 
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