Low functions of reals

Details Low functions of reals Low functions of reals

2009-03-09

arxiv.org/abs/0903.1384v5

Mathematics

Logic

We have added a reference to a paper of E. Specker

Scientific paper

We introduce a new notion of computable function on $\R^N$ and prove some
basic properties. We give two applications, first a short proof of Yoshinaga's
theorem that periods are \el (they are actually low). We also show that the low
complex numbers form a algebraically closed field closed under exponentiation
and some other special functions.

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