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The Halting Problem Is Decidable on a Set of Asymptotic Probability One

 11 months ago
source link: https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-47/issue-4/The-Halting-Problem-Is-Decidable-on-a-Set-of-Asymptotic/10.1305/ndjfl/1168352664.full
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Abstract

The halting problem for Turing machines is decidable on a set of asymptotic probability one. The proof is sensitive to the particular computational models.

Citation

Download Citation

Joel David Hamkins. Alexei Miasnikov. "The Halting Problem Is Decidable on a Set of Asymptotic Probability One." Notre Dame J. Formal Logic 47 (4) 515 - 524, 2006. https://doi.org/10.1305/ndjfl/1168352664

Information

Published: 2006
First available in Project Euclid: 9 January 2007
zbMATH: 1137.03024
MathSciNet: MR2272085
Digital Object Identifier: 10.1305/ndjfl/1168352664
Subjects:
Primary: 03D10
Secondary: 68Q17
Keywords: decidability , halting problem , Turing machines
Rights: Copyright © 2006 University of Notre Dame

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