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Subject: Re: superlinuar speedups What says theory?

Author: Dave Gomboc

Date: 17:57:10 10/10/01

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On October 10, 2001 at 17:12:37, Miguel A. Ballicora wrote:

>On October 08, 2001 at 14:59:12, Robert Hyatt wrote:
>
>>On October 08, 2001 at 13:52:56, Olaf Jenkner wrote:
>>
>>>I'm mathemathician. I believe that every student of informatics learnt something
>>>about this topic. Maybe we can construct a turing machine to prove the
>>>impossibilaty of SS. Is this the case? If it is, why does Dr. Hyatt waste his
>>>time to convince people about it?
>>>
>>>OJe
>>
>>
>>Simply because I have become a "teacher" over the past 31 years of my life
>>as a university faculty member.  And such "myths" need to be corrected when
>>they show up, else they become self-propogating 'truths' that are anything
>>but that...
>>
>>I have given the simple approach to proving this that is given in most every
>>book I have seen (the time-slicing approach).  I have referenced the formal
>>proof in theory books that show "A two-tape (which is really a two-instruction
>>stream) Turing machine has no more computational power than a one-tape (one
>>instruction stream) computer."  I have taken _every_ suggested algorithm that
>
>I am going to be a good boy and go to the library that is few blocks from here
>(I have to go anyway).
>Can you give the exact reference so I can read that theorem? If possible,
>the name of the theorem or much better the name of a book and page number.
>I think I should be able to find it.
>
>Regards,
>Miguel

Most introductory books on Computational Complexity should have an adequate
discussion of universal turing machines.  One I know of by Papadimitriou is
called just that, "Computational Complexity".

Dave



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