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By changing its state the machine can, as Turing put it, 'remember some of the symbols which it has "seen" (scanned) previously'.6 Turing did not specify a mechanism for changing state—Turing machines are abstractions and proposing a specific mechanism is unnecessary—but one can easily be imagined.Suppose that a device within the scanner consists of a dial with a finite number of positions, labelled 'a', 'b', 'c', and so on, each position counting as a different state.Von Neumann's 'First Draft of a Report on the EDVAC', completed in the spring of 1945, also set out a design for an electronic stored-program digital computer ('EDVAC' stood for 'Electronic Discrete Variable Computer').Von Neumann's report, to which Turing referred in 'Proposed Electronic Calculator', was more abstract than Turing's, saying little about programming or electronics.The scanner moves back and forth through the memory, examining one square at a time (the 'scanned square').It reads the symbols on the tape and writes further symbols.The basic principle of the modern computer—the idea of controlling the machine's operations by means of a program of coded instructions stored in the computer's memory—was conceived by Alan Turing.Turing's abstract 'universal computing machine' of 1936, soon known simply as the universal Turing machine, consists of a limitless memory, in which both data and instructions are stored, and a scanner that moves back and forth through the memory, symbol by symbol, reading what it finds and writing further symbols.2 By inserting different programs into the memory, the machine is made to carry out different computations.

S., the CSIR Mark I (Council for Scientific and Industrial Research Mark I Computer) in Australia, and Whirlwind I in the U. Turing introduced his abstract Turing machines in his first major publication, 'On Computable Numbers, with an Application to the Entscheidungsproblem' (1936).4 (Turing referred to these simply as 'computing machines'—the American logician Alonzo Church dubbed them 'Turing machines'.5) 'On Computable Numbers' pioneered the idea essential to the modern computer—the concept of controlling a computing machine's operations by means of a program of coded instructions stored in the machine's memory.There is a happy ending—but by that time Turing had turned his back on the ACE forever.Much of Part II is in the words of the original protagonists, drawn from documents of the time.The tape itself is limitless—in fact Turing's aim was to show that there are tasks that Turing machines cannot perform, even given unlimited working memory and unlimited time.A Turing machine has a small repertoire of basic operations: move left one square, move right one square, print, and change state. The scanner can print a symbol on the scanned square (after erasing any existing symbol).

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