Infinite time Turing machines
Journal of Symbolic Logic 65 (2):567-604 (2000)
| Abstract | Infinite time Turing machines extend the operation of ordinary Turing machines into transfinite ordinal time. By doing so, they provide a natural model of infinitary computability, a theoretical setting for the analysis of the power and limitations of supertask algorithms. | |||||||||
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Paolo Cotogno (2009). A Brief Critique of Pure Hypercomputation. Minds and Machines 19 (3):391-405.
Yaroslav Sergeyev & Alfredo Garro (2010). Observability of Turing Machines: A Refinement of the Theory of Computation. Informatica 21 (3):425–454.
Eric Steinhart (2007). Infinitely Complex Machines. In Intelligent Computing Everywhere. Springer.
Philip D. Welch (2004). On the Possibility, or Otherwise, of Hypercomputation. British Journal for the Philosophy of Science 55 (4):739-746.
Eric Steinhart (2003). Supermachines and Superminds. Minds and Machines 13 (1):155-186.
D. King (1996). Is the Human Mind a Turing Machine? Synthese 108 (3):379-89.
B. Jack Copeland (2002). Accelerating Turing Machines. Minds and Machines 12 (2):281-300.
P. D. Welch (2000). Eventually Infinite Time Turing Machine Degrees: Infinite Time Decidable Reals. Journal of Symbolic Logic 65 (3):1193-1203.
Joel David Hamkins (2002). Infinite Time Turing Machines. Minds and Machines 12 (4):567-604.
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