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Asymptotic behavior and halting probability of Turing Machines

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  • D’Abramo, Germano

Abstract

Through a straightforward Bayesian approach we show that under some general conditions, a maximum running time, namely the number of discrete steps performed by a computer program during its execution, can be defined such that the probability that such a program will halt after that time is smaller than any arbitrary fixed value. Consistency with known results and consequences are also discussed.

Suggested Citation

  • D’Abramo, Germano, 2008. "Asymptotic behavior and halting probability of Turing Machines," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 210-214.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:1:p:210-214
    DOI: 10.1016/j.chaos.2006.08.022
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