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27 relations: Boolean satisfiability problem, Computational complexity theory, Conjunctive normal form, Counting problem (complexity), Decision problem, Elsevier, Function problem, Graph theory, Hamiltonian path, Larry Stockmeyer, Leftover hash lemma, Leslie Valiant, Non-deterministic Turing machine, NP (complexity), Oracle machine, P (complexity), Parity P, Permanent (mathematics), PH (complexity), Polynomial hierarchy, PP (complexity), Quantum computing, Sharp-P-complete, Sharp-P-completeness of 01-permanent, Subset sum problem, Toda's theorem, Travelling salesman problem.
Boolean satisfiability problem
In computer science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated as SATISFIABILITY or SAT) is the problem of determining if there exists an interpretation that satisfies a given Boolean formula.
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Computational complexity theory
Computational complexity theory is a branch of the theory of computation in theoretical computer science that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other.
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Conjunctive normal form
In Boolean logic, a formula is in conjunctive normal form (CNF) or clausal normal form if it is a conjunction of one or more clauses, where a clause is a disjunction of literals; otherwise put, it is an AND of ORs.
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Counting problem (complexity)
In computational complexity theory and computability theory, a counting problem is a type of computational problem.
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Decision problem
In computability theory and computational complexity theory, a decision problem is a problem that can be posed as a yes-no question of the input values.
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Elsevier
Elsevier is an information and analytics company and one of the world's major providers of scientific, technical, and medical information.
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Function problem
In computational complexity theory, a function problem is a computational problem where a single output (of a total function) is expected for every input, but the output is more complex than that of a decision problem.
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Graph theory
In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.
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Hamiltonian path
In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once.
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Larry Stockmeyer
Larry Joseph Stockmeyer (1948 – 31 July 2004) was an American computer scientist.
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Leftover hash lemma
The leftover hash lemma is a lemma in cryptography first stated by Russell Impagliazzo, Leonid Levin, and Michael Luby.
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Leslie Valiant
Leslie Gabriel Valiant http://royalsociety.org/DServe/dserve.exe?dsqIni.
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Non-deterministic Turing machine
In theoretical computer science, a Turing machine is a theoretical machine that is used in thought experiments to examine the abilities and limitations of computers.
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NP (complexity)
In computational complexity theory, NP (for nondeterministic polynomial time) is a complexity class used to describe certain types of decision problems.
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Oracle machine
In complexity theory and computability theory, an oracle machine is an abstract machine used to study decision problems.
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P (complexity)
In computational complexity theory, P, also known as PTIME or DTIME(nO(1)), is a fundamental complexity class.
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Parity P
In computational complexity theory, the complexity class ⊕P (pronounced "parity P") is the class of decision problems solvable by a nondeterministic Turing machine in polynomial time, where the acceptance condition is that the number of accepting computation paths is odd.
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Permanent (mathematics)
In linear algebra, the permanent of a square matrix is a function of the matrix similar to the determinant.
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PH (complexity)
In computational complexity theory, the complexity class PH is the union of all complexity classes in the polynomial hierarchy: PH was first defined by Larry Stockmeyer.
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Polynomial hierarchy
In computational complexity theory, the polynomial hierarchy (sometimes called the polynomial-time hierarchy) is a hierarchy of complexity classes that generalize the classes P, NP and co-NP to oracle machines.
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PP (complexity)
In complexity theory, PP is the class of decision problems solvable by a probabilistic Turing machine in polynomial time, with an error probability of less than 1/2 for all instances.
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Quantum computing
Quantum computing is computing using quantum-mechanical phenomena, such as superposition and entanglement.
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Sharp-P-complete
#P-complete, pronounced "sharp P complete" or "number P complete" is a complexity class in computational complexity theory.
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Sharp-P-completeness of 01-permanent
The #P-completeness of 01-permanent, sometimes known as Valiant's theorem,Christos H. Papadimitriou.
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Subset sum problem
In computer science, the subset sum problem is an important problem in complexity theory and cryptography.
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Toda's theorem
Toda's theorem is a result in computational complexity theory that was proven by Seinosuke Toda in his paper "PP is as Hard as the Polynomial-Time Hierarchy" (1991) and was given the 1998 Gödel Prize.
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Travelling salesman problem
The travelling salesman problem (TSP) asks the following question: "Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city and returns to the origin city?" It is an NP-hard problem in combinatorial optimization, important in operations research and theoretical computer science.
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Hash-p, Number-P, Sharp P, Sharp-P, Sharp-P (class), SharpP.
References
[1] https://en.wikipedia.org/wiki/♯P
