Accession Number:

AD0686415

Title:

REAL NUMBERS AND FUNCTIONS IN THE KLEENE HIERARCHY AND LIMITS OF RECURSIVE, RATIONAL FUNCTIONS,

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

Report Date:

1969-04-01

Pagination or Media Count:

22.0

Abstract:

Let f be a real number. It is well known that the set of rational numbers that are less than f is a recursive set if and only if f is representable as the limit of a recursive, recursively convergent sequence of rational numbers. In this study the condition that the set of rational numbers less than f is recursive is replaced by the condition that this set is at various points in the Kleene hierarchy. The recursive, recursively convergent limit is replaced by a variety of other recursive limiting processes. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE