On immortal configurations in Turing machines

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Abstract

We investigate the immortality problem for Turing machines and prove that there exists a Turing Machine that is immortal but halts on every recursive configuration. The result is obtained by combining a new proof of Hooper's theorem [11] with recent results on effective symbolic dynamics. © 2012 Springer-Verlag.

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Jeandel, E. (2012). On immortal configurations in Turing machines. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7318 LNCS, pp. 334–343). https://doi.org/10.1007/978-3-642-30870-3_34

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