Computing over the Reals: Foundations for Scientific Computing

Mark Braverman; Stephen Cook

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Computing over the Reals: Foundations for Scientific Computing

Mark Braverman·Stephen Cook

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Abstract

We give a detailed treatment of the ``bit-model'' of computability and complexity of real functions and subsets of R^n, and argue that this is a good way to formalize many problems of scientific computation. In the introduction we also discuss the alternative Blum-Shub-Smale model. In the final section we discuss the issue of whether physical systems could defeat the Church-Turing Thesis.

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Mark Braverman, Stephen Cook. 2005-09-14. Computing over the Reals: Foundations for Scientific Computing. https://arxiv.org/abs/cs/0509042

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