Forever is a day: Supertasks in Pitowsky and Malament-Hogarth spacetimes

Philosophy of Science 60 (1):22-42 (1993)
The standard theory of computation excludes computations whose completion requires an infinite number of steps. Malament-Hogarth spacetimes admit observers whose pasts contain entire future-directed, timelike half-curves of infinite proper length. We investigate the physical properties of these spacetimes and ask whether they and other spacetimes allow the observer to know the outcome of a computation with infinitely many steps
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DOI 10.1086/289716
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Tim Button (2009). SAD Computers and Two Versions of the Church–Turing Thesis. British Journal for the Philosophy of Science 60 (4):765-792.
K. Svozil (1995). Set Theory and Physics. Foundations of Physics 25 (11):1541-1560.
I. Pitowsky (1996). Laplace's Demon Consults an Oracle: The Computational Complexity of Prediction. Studies in History and Philosophy of Science Part B 27 (2):161-180.
Itamar Pitowsky (2002). Quantum Speed-Up of Computations. Proceedings of the Philosophy of Science Association 2002 (3):S168-S177.

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