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Turing computability, introduced by Alan M. Turing in 1936, is a theoretical model of computation. It uses an abstract machine, the Turing machine, to define what it means for a problem to be solvable by an algorithm. This machine consists of an infinite tape, a read/write head, and a set of instructions. It can perform basic operations like reading, writing, and moving along the tape.

The concept of Turing computability is fundamental to computer science and helps determine if a problem can be solved algorithmically. It also underlies the study of computational complexity, which measures the resources an algorithm needs to run. The Turing machine's design influenced the development of all modern digital computers.512

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