Title :
Effective continued fractions
Author_Institution :
Dept. of Comput. Sci., Manchester Univ., UK
Abstract :
Only the leading seven terms of a continued fraction are needed to perform on-line arithmetic, provided the continued fractions are of the correct form. This forms the basis of a proof that there is an effective representation of the computable reals as continued fractions; we also demonstrate that the basic arithmetic operations are computable using this representation
Keywords :
digital arithmetic; computable reals; effective continued fractions; on-line arithmetic; proof; Computer science; Convergence; Digital arithmetic; Floors;
Conference_Titel :
Computer Arithmetic, 2001. Proceedings. 15th IEEE Symposium on
Conference_Location :
Vail, CO
Print_ISBN :
0-7695-1150-3
DOI :
10.1109/ARITH.2001.930116
