Dear Fellow Researchers,
I am pleased to announce a proof that P is not equal to NP, which is attached in 10pt and 12pt fonts.
The proof required the piecing together of principles from multiple areas
within mathematics. The major effort in constructing this proof was uncovering
a chain of conceptual links between various fields and viewing them through
a common lens. Second to this were the technical hurdles faced
at each stage in the proof.
This work builds upon fundamental contributions many esteemed researchers
have made to their fields. In the presentation of this paper, it was my
intention to provide the reader with an understanding of the global framework
for this proof. Technical and computational details within chapters were
minimized as much as possible.
This work was pursued independently of my duties as a HP Labs researcher, and
without the knowledge of others. I made several unsuccessful attempts these
past two years trying other combinations of ideas before I began this work.
Comments and suggestions for improvements to the paper are highly welcomed.
Sincerely,
Vinay Deolalikar
Principal Research Scientist
HP Labs
http://www.hpl.hp.com/personal/Vinay_Deolalikar/
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