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doi: 10.33774/coe-2021-m6v73-v4 , 10.33774/coe-2021-m6v73 , 10.20944/preprints201908.0037.v7 , 10.33774/coe-2021-m6v73-v2 , 10.33774/coe-2021-m6v73-v3 , 10.5281/zenodo.2582665 , 10.5281/zenodo.2582666 , 10.5281/zenodo.1424316 , 10.5281/zenodo.1421249 , 10.5281/zenodo.1420485 , 10.5281/zenodo.5576567 , 10.5281/zenodo.1420486 , 10.6084/m9.figshare.16828546.v1 , 10.5281/zenodo.1420563 , 10.5281/zenodo.1421416
doi: 10.33774/coe-2021-m6v73-v4 , 10.33774/coe-2021-m6v73 , 10.20944/preprints201908.0037.v7 , 10.33774/coe-2021-m6v73-v2 , 10.33774/coe-2021-m6v73-v3 , 10.5281/zenodo.2582665 , 10.5281/zenodo.2582666 , 10.5281/zenodo.1424316 , 10.5281/zenodo.1421249 , 10.5281/zenodo.1420485 , 10.5281/zenodo.5576567 , 10.5281/zenodo.1420486 , 10.6084/m9.figshare.16828546.v1 , 10.5281/zenodo.1420563 , 10.5281/zenodo.1421416
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 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.
Completeness, polynomial time, sparse, Polynomial Time, complement language, complexity classes, Complexity Classes, completeness, Computer Science, Sparse, Computer Science and Mathematics, Complement Language
Completeness, polynomial time, sparse, Polynomial Time, complement language, complexity classes, Complexity Classes, completeness, Computer Science, Sparse, Computer Science and Mathematics, Complement Language
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