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NP on Logarithmic Space

EasyChair Preprint no. 9555, version 5

Versions: 123456history
8 pagesDate: January 15, 2023


P versus NP is considered as one of the most important open problems in computer science. This consists in knowing the answer of the following question: Is P equal to NP? It was essentially mentioned in 1955 from a letter written by John Nash to the United States National Security Agency. However, a precise statement of the P versus NP problem was introduced independently by Stephen Cook and Leonid Levin. Since that date, all efforts to find a proof for this problem have failed. Another major complexity classes are L and NL. Whether L = NL is another fundamental question that it is as important as it is unresolved. We prove the breakthrough result that L = NL. Besides, we show that every NP problem is in L with oracle access to L.

Keyphrases: completeness, complexity classes, logarithmic space, polynomial time, reduction

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
  author = {Frank Vega},
  title = {NP on Logarithmic Space},
  howpublished = {EasyChair Preprint no. 9555},

  year = {EasyChair, 2023}}
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