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IRE Transactions on Electronic Computers
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Real-Time Computation and Recursive Functions Not Real-Time Computable

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Abstract

As an attempt to investigate a general theory of realtime computability in digital computers, a subclass of Turing machines is formally introduced together with some classes of functions that are computable by them in real time. Then the existence is established of a class of recursive functions that are not computable in real time by use of a class of machines, no matter how general we make the machines subject to a given constraint. Copyright © 1962 — THE INSTITUITE OF RADIO ENGINEERS, INC.

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IRE Transactions on Electronic Computers

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