R (complexity)

In computational complexity theory, R is the class of decision problems solvable by a Turing machine, which is the set of all recursive languages (also called decidable languages). ^[1]

12 relations: Bulletin of the American Mathematical Society, Computable function, Computational complexity theory, Decision problem, Finite-state machine, Graph of a function, Indicator function, Lenore Blum, RE (complexity), Recursive language, Stephen Smale, Turing machine.

Bulletin of the American Mathematical Society

The Bulletin of the American Mathematical Society is a quarterly mathematical journal published by the American Mathematical Society.

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Computable function

Computable functions are the basic objects of study in computability theory. R (complexity) and Computable function are computability theory.

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Computational complexity theory

In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource usage, and relating these classes to each other.

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Decision problem

In computability theory and computational complexity theory, a decision problem is a computational problem that can be posed as a yes–no question of the input values. R (complexity) and decision problem are computability theory.

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Finite-state machine

A finite-state machine (FSM) or finite-state automaton (FSA, plural: automata), finite automaton, or simply a state machine, is a mathematical model of computation.

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Graph of a function

In mathematics, the graph of a function f is the set of ordered pairs (x, y), where f(x).

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Indicator function

In mathematics, an indicator function or a characteristic function of a subset of a set is a function that maps elements of the subset to one, and all other elements to zero.

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Lenore Blum

Lenore Carol Blum (née Epstein, born December 18, 1942) is an American computer scientist and mathematician who has made contributions to the theories of real number computation, cryptography, and pseudorandom number generation.

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RE (complexity)

In computability theory and computational complexity theory, RE (recursively enumerable) is the class of decision problems for which a 'yes' answer can be verified by a Turing machine in a finite amount of time. R (complexity) and RE (complexity) are complexity classes.

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Recursive language

In mathematics, logic and computer science, a formal language (a set of finite sequences of symbols taken from a fixed alphabet) is called recursive if it is a recursive subset of the set of all possible finite sequences over the alphabet of the language. R (complexity) and recursive language are computability theory.

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Stephen Smale

Stephen Smale (born July 15, 1930) is an American mathematician, known for his research in topology, dynamical systems and mathematical economics.

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Turing machine

A Turing machine is a mathematical model of computation describing an abstract machine that manipulates symbols on a strip of tape according to a table of rules. R (complexity) and Turing machine are computability theory.

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References

[1] https://en.wikipedia.org/wiki/R_(complexity)

Also known as R (complexity class).

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