Miron  Telpiz's P=NP  Page


     In second half 2000 was proved

Theorem: The class of NP-complete problems is coincides with the class P.

   The proof of this theorem, whose brief formulation is NP=P, is contained in the book

Positionality principle for notation and calculation the functions
Volume One


     In the references to this book we assume designation [PP]

     At all importance of theorem NP=P nevertheless it is necessary to recognize, that the continuation of the positionality principle from the numbers to the function is more important and it is possible to assume that without this continuation hardly it is possible to prove that NP=P.

    On March, 2003,  the Institute of space researches of the Russian Academy of Science has issued the first volume of the book.
 1. First part of the book (in Russian).
 2. Bibliography of the book (in Russian).
 3. About a positionality principle (from book).
 4. About an arithmetization of functions (from book).
 5. About a book [PP].
 6. Even about the theorem NP = P.
 7. Even about the superreduction.
 7a). Use of superreduction on the practical problems.
 8. Demonstrative examples:
      - 8a)  *.doc format;
      -  8b) *.html format;
 9. Warning to users by cryptography with the public key.
 10. Bibliography.



The first proof of the theorem " P = NP " on the basis of the FS-operators in article
   "NP-completeness, superreduction and 4-colours problem (in Russian)"
  (article was prepared for the journal publication 2003.01.19).



The second proof of the theorem " P = NP " on the basis of the sigma-operators in article     
   "Sigma-notation and the equivalence of P and NP classes"
  (article was prepared for the journal publication 2004.08.01).



On September 20, 2001, at the Institute of space researches of the Russian Academy of Science the seminar was held on a theme  "Positionality principle in logic transformations".
Speaker - M.I.Telpiz.

Last modified: May 31, 2009      Home page

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