Even Turing machines can compute uncomputable functions

Abstract

Accelerated Turing machines are Turing machines that perform tasks commonly regarded as impossible, such as computing the halting function. The existence of these notional machines has obvious implications concerning the theoretical limits of computability.

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Jack Copeland
University of Canterbury

Citations of this work

The philosophy of computer science.Raymond Turner - 2013 - Stanford Encyclopedia of Philosophy.
Accelerating Turing machines.B. Jack Copeland - 2002 - Minds and Machines 12 (2):281-300.
Infinite time Turing machines.Joel David Hamkins - 2002 - Minds and Machines 12 (4):567-604.
Super turing-machines.B. Jack Copeland - 1998 - Complexity 4 (1):30-32.
Beyond the universal Turing machine.Jack Copeland - 1999 - Australasian Journal of Philosophy 77 (1):46-67.

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