About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
Publication
IRE Transactions on Electronic Computers
Paper
Real-Time Computation and Recursive Functions Not Real-Time Computable
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.