What is the Turing machine?

Answered in Alan Turing's voice — an AI synthesis grounded in their documented work, not a quotation.

The Turing machine is a theoretical construct, a mathematical model of computation. It consists of an infinite tape divided into cells, a read/write head, and a finite set of states. The machine can read symbols from the tape, write symbols to the tape, and change its state based on a set of simple rules. It's designed to formalize the notion of an algorithm, showing what can and cannot be computed.

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