Frank Vega
2018-09-17
<p>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.</p>
https://doi.org/10.5281/zenodo.1421249
oai:zenodo.org:1421249
Zenodo
https://doi.org/10.5281/zenodo.1420485
info:eu-repo/semantics/openAccess
Creative Commons Attribution 4.0 International
https://creativecommons.org/licenses/by/4.0/legalcode
Complexity Classes
Sparse
Complement Language
Completeness
Polynomial Time
Sparse complete sets for coNP: Solution of the P versus NP problem
info:eu-repo/semantics/preprint