In computational complexity theory, the Cook–Levin theorem, also known as Cook's theorem, states that the Boolean satisfiability problem is NP-complete...

Stephen Cook independently discovered the existence of NP-complete problems. This NP-completeness theorem, often called the Cook–Levin theorem, was a basis...

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...

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...

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...

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...

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...

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...

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...

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...

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...

common subgraph isomorphism problem The original Cook (1971) paper that proves the Cook–Levin theorem already showed subgraph isomorphism to be NP-complete...

\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...

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...

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...

existence of roots of quartic polynomials. This is an analogue of the Cook-Levin Theorem for real numbers. Complexity and Real Computation General purpose...

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...

for satisfiability of Boolean formulas. Retrieved October 10, 2005. Cook–Levin theorem, stating that SAT is NP-complete Generalized geography The Quantified...

complexity Constructible function Cook-Levin theorem Exponential time Function problem Linear time Linear speedup theorem Natural proof Polynomial time Polynomial-time...

seminal papers in STOC include Cook (1971), which introduced the concept of NP-completeness (see also Cook–Levin theorem). STOC was organised in Canada...

university, Ukraine Leonid Levin, computer scientist, developed the Cook-Levin theorem Yuri Linnik, developed Linnik's theorem in analytic number theory...

Levenshtein distance Leonid Levin, IT scientist, developed the Cook-Levin theorem Yuri Linnik, developed Linnik's theorem in analytic number theory Nikolai...

quantum Hamiltonian complexity have led to the quantum version of the Cook–Levin theorem. Quantum Hamiltonian complexity has helped physicists understand the...

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...

Marchenko–Pastur distribution. Leonid Levin (1948), computer scientist, mathematician. See Cook–Levin theorem (NP-completeness of the boolean satisfiability...

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...

1971: The Cook–Levin theorem (also known as "Cook's theorem"), a result in computational complexity theory, was proven independently by Stephen Cook (1971...

Levenshtein coding and Levenshtein distance Leonid Levin, IT scientist, developed the Cook-Levin theorem (the foundation for computational complexity) Oleg...

includes Fagin's theorem characterizing nondeterministic polynomial time in terms of existential second-order logic, the Cook–Levin theorem on the existence...

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...