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Partially computable function computed by an infinite number of programs whose lengths are larger.

a) Halting problem
b) Turing machine
c) Algorithm
d) Binary code

1 Answer

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Final answer:

A Turing machine is a theoretical device capable of simulating any computer algorithm. It can solve the halting problem, which asks whether a given program will eventually halt or run forever.

Step-by-step explanation:

The subject of this question is Turing machine.

A Turing machine is a theoretical device presented by Alan Turing in 1936 that can compute anything that is computable. It is capable of simulating any computer algorithm, making it a universal computing machine. It consists of an infinite tape divided into cells, a read/write head, and a set of rules that determine its behavior.

For example, the Turing machine can solve the halting problem, which is a famous unsolvable problem in computer science. The halting problem asks whether a given program, when executed on a Turing machine, will eventually halt or run forever. Turing machines can provide answers to the halting problem for some programs, but not for all programs.

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