Is the halting problem a decision problem?

Background. The halting problem is a decision problem about properties of computer programs on a fixed Turing-complete model of computation, i.e., all programs that can be written in some given programming language that is general enough to be equivalent to a Turing machine.

What is a decidable decision problem?

A decision problem is decidable or effectively solvable if the set of inputs (or natural numbers) for which the answer is yes is a recursive set. Problems that are not decidable are undecidable.

What is meant by halting problem?

The halting problem, commonly applied to Turing-complete programs and models, is the problem of finding out whether, with the given input, a program will halt at some time or continue to run indefinitely.

Who proposed the Entscheidungsproblem?

4.2 Turing machine. In 1936 British scientist Turing submitted his famous paper “On Computable Numbers, with an Application to the Entscheidungsproblem” [11]. He put forward an abstract computation model, which can accurately define the computable function.

Is the halting problem semi decidable?

The Halting Problem language is enumerable—we can simulate a Turing Machine and output “YES, IT HALTS” if it halts, and otherwise, never terminate. So, yes, The Halting Problem is indeed semi-decidable.

What is the difference between decision problem and research problem?

The management decision problem asks what the decision maker needs to do, whereas the marketing research problem asks what information is needed and how it can best be obtained (see Table 4.1). Research is directed at providing the information necessary to make a sound decision.

What is halting problem in data structure?

The Halting Problem is the problem of deciding or concluding based on a given arbitrary computer program and its input, whether that program will stop executing or run-in an infinite loop for the given input.

What is Entscheidungs problem?

Entscheidungsproblem. In mathematics and computer science, the Entscheidungsproblem ( pronounced [ɛntˈʃaɪ̯dʊŋspʁoˌbleːm], German for “decision problem”) is a challenge posed by David Hilbert and Wilhelm Ackermann in 1928. The problem asks for an algorithm that considers, as input, a statement and answers “Yes” or “No” according to whether

What is the halting problem an example of?

The halting problem is an early example of a decision problem, and also a good example of the limits of determinism in computer science. In general, the halting problem is often used in an abstract capacity to explain why it may be impossible to decide whether a program will ever run indefinitely, or not.

What is an example of a decision problem?

The halting problem is an early example of a decision problem, and also a good example of the limits of determinism in computer science.

What is halting problem in Computer Science?

Original answer: From the great Wikipedia: In computability theory, the halting problem is a decision problem which can be stated as follows: given a description of a program and a finite input, decide whether the program finishes running or will run forever, given that input.