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Article type: Research Article
Authors: Skandalis, Kostas
Affiliations: Dept. of Mathematics, University of Crete, Greece
Abstract: In [1] it is proved that for real closed fields the output sets (of computing machines) are also input sets. In this work it is shown that the converse holds for a class of ordered fields. It follows that the uncountable subfields of R are real closed if and only if their output sets are also input sets. Similar results for unordered fields of characteristic 0 are obtained.
DOI: 10.3233/FI-1994-2045
Journal: Fundamenta Informaticae, vol. 20, no. 4, pp. 381-392, 1994
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