• In computational complexity theory, the CookLevin theorem, also known as Cook's theorem, states that the Boolean satisfiability problem is NP-complete...
    19 KB (2,355 words) - 22:12, 5 November 2024
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    Stephen Cook independently discovered the existence of NP-complete problems. This NP-completeness theorem, often called the CookLevin theorem, was a basis...
    8 KB (656 words) - 08:51, 25 October 2024
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    NP-complete. This theorem was proven independently by Leonid Levin in the Soviet Union, and has thus been given the name the CookLevin theorem. The paper also...
    16 KB (1,510 words) - 19:27, 11 November 2024
  • is the first problem that was proven to be NP-complete—this is the CookLevin theorem. This means that all problems in the complexity class NP, which includes...
    52 KB (5,326 words) - 08:55, 3 November 2024
  • Richard Karp used Stephen Cook's 1971 theorem that the boolean satisfiability problem is NP-complete (also called the Cook-Levin theorem) to show that there...
    5 KB (486 words) - 13:35, 25 April 2023
  • program optimizations to work efficiently. By a result known as the CookLevin theorem, Boolean satisfiability is an NP-complete problem in general. As a...
    29 KB (3,580 words) - 02:22, 21 November 2024
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    time. The concept of NP-completeness was introduced in 1971 (see CookLevin theorem), though the term NP-complete was introduced later. At the 1971 STOC...
    30 KB (3,617 words) - 17:49, 12 November 2024
  • introduced in 1971 by Stephen Cook in his seminal paper "The complexity of theorem proving procedures" (and independently by Leonid Levin in 1973). Although the...
    63 KB (7,782 words) - 18:22, 10 November 2024
  • quantum Hamiltonian complexity have led to the quantum version of the CookLevin theorem. Quantum Hamiltonian complexity has helped physicists understand the...
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  • common subgraph isomorphism problem The original Cook (1971) paper that proves the CookLevin theorem already showed subgraph isomorphism to be NP-complete...
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    clique problem. Satisfiability, in turn, was proved NP-complete in the CookLevin theorem. From a given CNF formula, Karp forms a graph that has a vertex for...
    84 KB (9,905 words) - 17:15, 23 September 2024
  • to be NP-complete. It is a prototypical NP-complete problem; the CookLevin theorem is sometimes proved on CircuitSAT instead of on the SAT, and then...
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  • existence of roots of quartic polynomials. This is an analogue of the Cook-Levin Theorem for real numbers. Complexity and Real Computation General purpose...
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  • These proof systems prove circuit satisfiability, and thus by the CookLevin theorem allow proving membership for every language in NP. The size of the...
    25 KB (2,465 words) - 18:35, 16 July 2024
  • complexity Constructible function Cook-Levin theorem Exponential time Function problem Linear time Linear speedup theorem Natural proof Polynomial time Polynomial-time...
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  • example, the Boolean satisfiability problem is NP-complete by the CookLevin theorem, but SAT solvers can solve a variety of large instances. There are...
    32 KB (3,643 words) - 02:43, 19 August 2024
  • Levenshtein distance Leonid Levin, IT scientist, developed the Cook-Levin theorem Yuri Linnik, developed Linnik's theorem in analytic number theory Nikolai...
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  • the number of its satisfying assignments odd? This follows from the CookLevin theorem because the reduction is parsimonious. ⊕P is a counting class, and...
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  • for satisfiability of Boolean formulas. Retrieved October 10, 2005. CookLevin theorem, stating that SAT is NP-complete Generalized geography The Quantified...
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  • Non-deterministic Turing Machine M. On the other hand, from the proof for Cook-Levin Theorem, we know that we can reduce M to a boolean formula F. Now, each valid...
    12 KB (1,495 words) - 12:38, 8 November 2024
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    university, Ukraine Leonid Levin, computer scientist, developed the Cook-Levin theorem Yuri Linnik, developed Linnik's theorem in analytic number theory...
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  • seminal papers in STOC include Cook (1971), which introduced the concept of NP-completeness (see also CookLevin theorem). STOC was organised in Canada...
    12 KB (1,162 words) - 05:39, 15 September 2024
  • \exists y.\phi (x,y,z)} can be considered an instance of SAT (by Cook-Levin theorem), there exists a circuit D n {\displaystyle D_{n}} , depending on...
    13 KB (2,269 words) - 18:28, 2 April 2024
  • 1971: The CookLevin theorem (also known as "Cook's theorem"), a result in computational complexity theory, was proven independently by Stephen Cook (1971...
    96 KB (11,128 words) - 13:05, 27 October 2024
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    Marchenko–Pastur distribution. Leonid Levin (1948), computer scientist, mathematician. See CookLevin theorem (NP-completeness of the boolean satisfiability...
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  • since Cook's theorem" and by Oded Goldreich as "a culmination of a sequence of impressive works […] rich in innovative ideas". The PCP theorem states...
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  • includes Fagin's theorem characterizing nondeterministic polynomial time in terms of existential second-order logic, the CookLevin theorem on the existence...
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  • existence of NP-complete problems analogously to the proof of the CookLevin theorem in the classical model, which can be seen as the special case of this...
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  • Levenshtein coding and Levenshtein distance Leonid Levin, IT scientist, developed the Cook-Levin theorem (the foundation for computational complexity) Oleg...
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  • important result, the so-called speed-up theorem. The field began to flourish in 1971 when Stephen Cook and Leonid Levin proved the existence of practically...
    49 KB (6,717 words) - 21:56, 25 September 2024