Computing over the Reals: Foundations for Scientific Computing
Abstract
We give a detailed treatment of the ``bit-model'' of computability and complexity of real functions and subsets of Rn, 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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