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full-disclosure-uk: Re: [Full-disclosure] Linux big bang theory.

Re: [Full-disclosure] Linux big bang theory....

From: Pavel Kankovsky <peak_at_nospam>
Date: Sat May 26 2007 - 09:42:46 GMT
To: Vincent Archer <varcher@denyall.com>


On Mon, 21 May 2007, Vincent Archer wrote:

> I don't have (and I doubt anybody around here can) the proof to make
> this a theorem, but it is a good postulate:
>
> - It is impossible to prove the integrity of a computing system from
> within the same system.

>From a theoretical POV, it might be possible do it with a program
requiring all memory of the tested system (*all* memory, including memory occupied by existing data -- whether it is possible to reconstruct them after the fact is a different question...) to compute a correct result. Several difficult conditions would have to be satisfied:

  1. the program must be optimal, i.e. it is impossible to compute the correct result in less space (including the space occupied by the code of the program),
  2. at some point during the computation, the contents of all memory (including the code of the program) must have maximum Kolmogorov complexity, i.e. it is impossible to simulate extra memory through data compression,
  3. the system must be isolated, i.e. it is impossible to simulate extra memory through interaction with the rest of the world.

These condition might be made somewhat weaker by taking time into account and allowing the simulation of extra memory as long as it is impossible to do it quickly enough.

--Pavel Kankovsky aka Peak [ Boycott Microsoft--http://www.vcnet.com/bms ] "Resistance is futile. Open your source code and prepare for assimilation."



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