In computational complexity theory, the Cook–Levin theorem, also known as Cook's theorem, states that the Boolean satisfiability problem is NP-complete...
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Stephen Cook independently discovered the existence of NP-complete problems. This NP-completeness theorem, often called the Cook–Levin theorem, was a basis...
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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 Cook–Levin theorem. The paper also...
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is the first problem that was proven to be NP-complete—this is the Cook–Levin theorem. This means that all problems in the complexity class NP, which includes...
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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...
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program optimizations to work efficiently. By a result known as the Cook–Levin theorem, Boolean satisfiability is an NP-complete problem in general. As a...
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time. The concept of NP-completeness was introduced in 1971 (see Cook–Levin theorem), though the term NP-complete was introduced later. At the 1971 STOC...
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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...
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quantum Hamiltonian complexity have led to the quantum version of the Cook–Levin 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 Cook–Levin theorem already showed subgraph isomorphism to be NP-complete...
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clique problem. Satisfiability, in turn, was proved NP-complete in the Cook–Levin theorem. From a given CNF formula, Karp forms a graph that has a vertex for...
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to be NP-complete. It is a prototypical NP-complete problem; the Cook–Levin 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 Cook–Levin theorem allow proving membership for every language in NP. The size of the...
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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 Cook–Levin theorem, but SAT solvers can solve a variety of large instances. There are...
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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 Cook–Levin 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. Cook–Levin 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...
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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 Cook–Levin theorem). STOC was organised in Canada...
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\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...
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1971: The Cook–Levin theorem (also known as "Cook's theorem"), a result in computational complexity theory, was proven independently by Stephen Cook (1971...
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Marchenko–Pastur distribution. Leonid Levin (1948), computer scientist, mathematician. See Cook–Levin 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 Cook–Levin theorem on the existence...
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existence of NP-complete problems analogously to the proof of the Cook–Levin 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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Computational complexity theory (redirect from Levin reduction)
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...
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