• J. D. Hamkins, “Infinite time Turing machines,” Minds and Machines, vol. 12, iss. 4, pp. 521-539, 2002. (Special issue devoted to hypercomputation)  
  Citation arχiv

  @ARTICLE{Hamkins2002:Turing,
  author = {Joel David Hamkins},
  title = {Infinite time {T}uring machines},
  journal = {Minds and Machines},
  year = {2002},
  volume = {12},
  number = {4},
  pages = {521--539},
  month = {},
  note = {Special issue devoted to hypercomputation},
  key = {},
  annote = {},
  eprint = {math/0212047},
  archivePrefix = {arXiv},
  primaryClass = {math.LO},
  url = {http://wp.me/p5M0LV-2e},
  }

This is a survey of the theory of infinite time Turing machines.

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.