Turing machines can perform any computation from "summary" of Code by Charles Petzold
The concept that Turing machines can perform any computation is a fundamental idea in computer science. A Turing machine is a hypothetical device that consists of a tape divided into cells, a read/write head that can move back and forth along the tape, and a set of states that determine the machine's behavior. When the machine is in a particular state, it reads the symbol on the tape under the read/write head, writes a new symbol, moves the head left or right, and transitions to a new state based on a set of rules. The key insight of Turing machines is that they are capable of simulating any algorithm that can be described in a step-by-step manner. This means that no matter how complex a computation may be, a Turing machine can theoretically carry it out. This is a powerful concept because it demonstrates that al...
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