April 2009
Intermediate to advanced
440 pages
9h 51m
English
Content preview from Introduction to Formal Languages, Automata Theory and ComputationBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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Chapter 9. Turing Machines
We have seen earlier that FSA have finite amount of memory and hence cannot do certain things. For example, no FSA can accept {anbn|n ≥ 1}. Though, it is possible to have FSA for adding two arbitrarily long binary numbers, we cannot have an FSA which can multiply two arbitrarily long binary numbers. Hence the question arises. What happens when we leave this restriction of finite memory? What problems can be solved by mechanical process with unlimited memory? By mechanical process, it is meant a procedure so completely specified that a machine can carry it out. Are there processes that can be precisely described yet still cannot be realized by a machine (computer)?
Programming – the job of specifying the procedure that ...
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