Universality of a reversible two-counter machine
Theoretical Computer Science - Special issue on universal machines and computations
On topological dynamics of Turing machines
Theoretical Computer Science
On the presence of periodic configurations in Turing machines and in counter machines
Theoretical Computer Science
Theory of cellular automata: a survey
Theoretical Computer Science
Computation: finite and infinite machines
Computation: finite and infinite machines
Irreversibility and heat generation in the computing process
IBM Journal of Research and Development
Logical reversibility of computation
IBM Journal of Research and Development
Note: The periodic domino problem revisited
Theoretical Computer Science
On time-symmetry in cellular automata
Journal of Computer and System Sciences
On immortal configurations in turing machines
CiE'12 Proceedings of the 8th Turing Centenary conference on Computability in Europe: how the world computes
Hi-index | 0.00 |
We investigate the decidability of the periodicity and the immortality problems in three models of reversible computation: reversible counter machines, reversible Turing machines and reversible one-dimensional cellular automata. Immortality and periodicity are properties that describe the behavior of the model starting from arbitrary initial configurations: immortality is the property of having at least one non-halting orbit, while periodicity is the property of always eventually returning back to the starting configuration. It turns out that periodicity and immortality problems are both undecidable in all three models. We also show that it is undecidable whether a (not-necessarily reversible) Turing machine with moving tape has a periodic orbit.