On Wed, Jul 19, 2006 at 02:11:28PM -0700, Andrew Lentvorski wrote:
> [EMAIL PROTECTED] wrote:
> >>Conceptually. Conceptually a physical thing. It isn't *really* a
> >>physical machine.
> >>
> >>In practice, you don't get an infinite tape to process, nor do you get
> >>an unbounded but finite time in which to do the computation.
> >
> >You don't need an infinite tape.
> 
> Uh, no.  You *do* need an infinite tape.  In fact, I'm pretty sure that 
> the proof of the halting problem is dependent upon this fact.
> 
> BTW, Turing machines are not the only abstraction for computability. 
> IIRC, Lambda Calculus was devloped for the same purpose and it was later 
> proved that the two formulations are equivalent.
> 
> -a
> 

If they're equivalent, how does that demonstrate that Turing machines
are not the only abstraction for computability?

-- 
Lan Barnes
Linux Guy, SCM Specialist     
Tcl/Tk Enthusiast 

History, I believe, furnishes no example of a priest-ridden people
maintaining a free civil government. This marks the lowest grade of
ignorance of which their civil as well as religious leaders will always
avail themselves for their own purposes.
                                         - Thomas Jefferson


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