Comparing hierarchies of total functionals

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Comparing hierarchies of total functionals

In this paper, we will address a problem raised by Bauer, Escardó and Simpson. We define two hierarchies of total, continuous functionals over the reals based on domain theory, one based on an “extensional” representation of the reals and the other on an “intensional” representation. The problem is if these two hierarchies coincide. We will show that this coincidence problem is equivalent to th...

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ژورنال

عنوان ژورنال: Logical Methods in Computer Science

سال: 2005

ISSN: 1860-5974

DOI: 10.2168/lmcs-1(2:4)2005