10.5281/zenodo.1420486
https://zenodo.org/records/1420486
oai:zenodo.org:1420486
Frank Vega
Frank Vega
Joysonic
Sparse complete sets for coNP: Solution of the P versus NP problem
Zenodo
2018
Complexity Classes
Sparse
Complement Language
Completeness
Polynomial Time
2018-09-17
10.5281/zenodo.1420485
Creative Commons Attribution 4.0 International
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? A precise statement of the P versus NP problem was introduced independently in 1971 by Stephen Cook and Leonid Levin. Since that date, all efforts to find a proof for this problem have failed. Another major complexity class is coNP. Whether NP = coNP is another fundamental question that it is as important as it is unresolved. In 1979, Fortune showed that if any sparse language is coNP-complete, then P = NP. We prove there is a possible sparse language in coNP-complete. In this way, we demonstrate the complexity class P is equal to NP.