The Status of the P versus NP Problem.

The article refers to a 1971 research paper by Steve Cook, "The Complexity of Theorem-Proving Procedures" and focuses on computational complexity. The Polynomial Time (P) versus Nondeterministic Polynomial-Time (NP) problem in computer science is discussed, as well as the theory of efficient algorit...

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Detalles Bibliográficos
Publicado en:Communications of the ACM Vol. 52; no. 9; pp. 78 - 87
Autor principal: FORTNOW, LANCE
Formato: Artículo
Publicado: Association for Computing Machinery Sep2009
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Acceso en línea:Ver este registro en EBSCOhost
Descripción
Sumario:The article refers to a 1971 research paper by Steve Cook, "The Complexity of Theorem-Proving Procedures" and focuses on computational complexity. The Polynomial Time (P) versus Nondeterministic Polynomial-Time (NP) problem in computer science is discussed, as well as the theory of efficient algorithms for a solution to NP-complete problems. Integer programming, approaches to proving that P≠NP such as diagonalization, circuit and proof complexity with Boolean operators, brute force and heuristics, NP-complete optimization and the limits of approximation, hardness assumptions in cryptography, and the elimination of randomness are mentioned.