In complexity theory, the Karp–Lipton theorem states that if the Boolean satisfiability problem (SAT) can be solved by Boolean circuits with a polynomial...

computer science theory to practice. In 1980, along with Richard M. Karp, Lipton proved that if SAT can be solved by Boolean circuits with a polynomial...

P^{{\mathsf {S}}_{2}^{P}}={\mathsf {S}}_{2}^{P}} ). A version of Karp–Lipton theorem states that if every language in NP has polynomial size circuits...

bipartite graphs. In 1980, along with Richard J. Lipton, Karp proved the Karp–Lipton theorem (which proves that if SAT can be solved by Boolean circuits with...

{\displaystyle n} , unless co-NP is a subset of NP/poly, which (by the Karp–Lipton theorem) would cause the collapse of the polynomial hierarchy. The same computational...

contained in P/poly, then the polynomial time hierarchy collapses (Karp-Lipton theorem). Arora, Sanjeev; Barak, Boaz (2009), Computational Complexity: A...

Immerman–Szelepcsényi theorem (computational complexity theory) Karp–Lipton theorem (computational complexity theory) Ladner's theorem (computational complexity...

P {\displaystyle \Sigma _{2}^{\mathsf {P}}} . This result is the Karp–Lipton theorem; furthermore, NP ⊆ P/poly implies AM = MA If PSPACE ⊆ P/poly then...

in Φ. This property is used in several theorems in complexity theory: NP ⊆ P/poly ⇒ PH = Σ2 (Karp–Lipton theorem) NP ⊆ BPP ⇒ NP = RP P = NP ⇒ FP = FNP...

Cook–Levin theorem states that the Boolean satisfiability problem is NP-complete, thus establishing that such problems do exist. In 1972, Richard Karp proved...

1966), pp. 78–87, doi:10.1109/SWAT.1966.30. Aleliunas, Romas; Karp, Richard M.; Lipton, Richard J.; Lovász, László; Rackoff, Charles (1979), "Random walks...

1016/S0022-0000(70)80006-X, hdl:10338.dmlcz/120475, MR 0266702. Aleliunas, Romas; Karp, Richard M.; Lipton, Richard J.; Lovász, László; Rackoff, Charles (1979), "Random walks...

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 every pair (v,c), where...

Rabin, together with Richard Karp, created one of the most well-known efficient string search algorithms, the Rabin–Karp string search algorithm, known...

Benioff, Martin Lipton, David R. Henderson, Howard Schultz, Alex Gorsky, Marianne Bertrand, Daniel S. Loeb, Oren Cass, Oliver Hart, Erika Karp, Joseph Stiglitz...

specifically to the subset sum problem. The subset sum problem is one of Karp's 21 NP-complete problems. Knapsack problems appear in real-world decision-making...

{\displaystyle bs(f)=O(s(f)^{4})} . Comparison sort Decision tree Aanderaa–Karp–Rosenberg conjecture Minimum spanning tree § Decision trees Ford, Lester...

Kamp – invented GBDE, FreeBSD Jails, Varnish cache David Karger Richard Karp – NP-completeness Narendra Karmarkar – Karmarkar's algorithm Marek Karpinski...

advisor to Martin Luther King Jr. Jerome H. Kern (1957), founder of Wachtell, Lipton, Rosen & Katz, former CEO of Playboy and Colorado Symphony Bernard Nussbaum...

Kasem, radio personality, host of American Top 40 (born in Detroit) James Lipton, host of Bravo cable television series Inside the Actors Studio, writer...