Essentials of Theoretical Computer Science - IT Assignment Help

Assignment Task:

Turing Machines

Computation has been around a very long time. Computer programs, after all, are a rather recent creation. So, we shall take what seems like a brief detour back in time in order to examine another system or model of computation. We shall not wander too far back though, merely to the mid-1930s. After all, one could go back to Aristotle, who was possibly the first Western person to develop formal computational systems and write about them.

Well before the advent of modern computing machinery, a British logician named A. M. Turing (who later became a famous World War II codebreaker) developed a computing system. In the 1930s, a little before the construction of the first electrical computer, he and several other mathematicians (including Church, Markov, Post, and Turing) independently considered the problem of specifying a system in which computation could be defined and studied. Turing focused upon human computation and thought about the way that people compute things by hand. With this examination of human computation, he designed a system in which computation could be expressed and carried out.

He claimed that any nontrivial computation required:
• a simple sequence of computing instructions,
• scratch paper,
• an implement for writing and erasing,
• a reading device, and
• the ability to remember which instruction is being carried out.

Turing then developed a mathematical description of a device possessing all of the above attributes. Today, we would recognize the device that he defined as a special purpose computer. In his honour it has been named the Turing machine.

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