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Formal Aspects of Computing

, Volume 2, Issue 1, pp 331–341 | Cite as

X-machines and the halting problem: Building a super-turing machine

  • Mike Stannett
Article

Abstract

We describe a novel machine model of computation, and prove that this model is capable of performing calculations beyond the capability of the standard Turing machine model. In particular, we demonstrate the ability of our model to solve the Halting problem for Turing machines. We discuss the issues involved in implementing the model as a physical device, and offer some tentative suggestions.

Key words

Computability Turing machine Super-Turing Halting problem X-machine 

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Copyright information

© BCS 1990

Authors and Affiliations

  • Mike Stannett
    • 1
  1. 1.Formal Methods GroupSheffield UniversitySheffieldUK

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