English

Finding of k in Fagin's R. Theorem 24

Computational Complexity 2016-10-20 v4 Logic in Computer Science

Abstract

By using of analytical multi-logic expresses in conjunction with non-deterministic Turing machine the proposition was proved that algorithm of deterministic Turing counter machine of polynomial time complexity can be decreased to the algorithm of linear time complexity in non-deterministic Turing counter machine. Furthermore, it was shown that existence of reduction of polynomial time complexity to the linear time complexity by switching from deterministic to non-deterministic Turing machine for string recognition imply P equals to NP. Analytical generation functions of higher order logic were used for finding of k value in Fagin's R. Theorem 24.

Keywords

Cite

@article{arxiv.1012.5804,
  title  = {Finding of k in Fagin's R. Theorem 24},
  author = {Algirdas Antano Maknickas},
  journal= {arXiv preprint arXiv:1012.5804},
  year   = {2016}
}