Related papers: P versus UP

This submission has been withdrawn by arXiv administrators because it is incomplete and thus violates arXiv policy.

This submission has been withdrawn by arXiv administrators due to misrepresentation of authorship.

Removed by arXiv administration. This article was plagiarized directly from Stephen Cook's description of the problem for the Clay Mathematics Institute. See http://gauss.claymath.org:8888/millennium/P_vs_NP/pvsnp.pdf for the original text.

This paper has been withdrawn by the author because overcame by arXiv:0910.4694

Withdrawn because of non-correctness. Would have implied too much to be true :-|

arXiv admin note: This submission has been withdrawn by arXiv administrators due to unprofessional personal attack.

This paper was removed by arXiv admin due to metadata abuse.

This paper has been withdrawn Abstract: This paper has been withdrawn by the author due to the publication.

This article has been removed by arXiv administrators due to falsified authorship.

This submission has been withdrawn by arXiv admins because it contains inappropriate overlap with arXiv:physics/0603087.

This paper was withdrawn by arXiv admin due to authors' misrepresentation of identity/affiliation.

This paper is withdrawn due to some errors, which are corrected in arXiv:0912.0071v4 [cs.LG].

This submission has been withdrawn by arXiv admins due to fraudulent affiliation claims by the original submitter.

Erroneous submission in violation of copyright removed by arXiv admin.

withdrawn by author

Withdrawn by arXiv administration because authors have forged affiliations and acknowledgements, and have not adequately responded to charges [hep-th/9912039] of unattributed use of verbatim material.

This submission has been withdrawn by arXiv admins because there was an erroneous author included in the original version.

The general structure of the paper should be remaid. Hence author removed this paper from arXiv.

Withdrawn by arXiv administration because authors have forged affiliations and acknowledgements, and have not adequately responded to charges [hep-th/9912039] of unattributed use of verbatim material.

This version withdrawn by arXiv administrators because the submitter did not have the right to agree to our license at the time of submission.