Towards a Church-Turing-Thesis for Infinitary Computations

Merlin Carl

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arXiv · 1307.6599

Towards a Church-Turing-Thesis for Infinitary Computations

Merlin Carl

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Abstract

We consider the question whether there is an infinitary analogue of the Church-Turing-thesis. To this end, we argue that there is an intuitive notion of transfinite computability and build a canonical model, called Idealized Agent Machines ($IAM$s) of this which will turn out to be equivalent in strength to the Ordinal Turing Machines defined by P. Koepke.

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BibTeX RIS

Merlin Carl. 2013-07-24. Towards a Church-Turing-Thesis for Infinitary Computations. https://arxiv.org/abs/1307.6599

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