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Erschienen in:
2018 | OriginalPaper | Buchkapitel
On Aperiodic Reversible Turing Machines (Invited Talk)
verfasst von : Nicolas Ollinger
Erschienen in: Reversible Computation
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Abstract
A complete reversible Turing machine bijectively transforms configurations consisting of a state and a bi-infinite tape of symbols into another configuration by updating locally the tape around the head and translating the head on the tape. We discuss a simple machine with 4 states and 3 symbols that has no periodic orbit and how that machine can be embedded into other ones to prove undecidability results on decision problems related to dynamical properties of Turing machines.