NON-SPLITTINGS OF SPEEDABLE SETS

Author:

CHIH ELLEN S.

Abstract

AbstractWe construct a speedable set that cannot be split into speedable sets. This solves a question of Bäuerle and Remmel.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference14 articles.

1. [14] Soare Robert I. , Recursively enumerable sets and degrees , Perspectives in Mathematical Logic, Springer-Verlag, Berlin, 1987.

2. [13] Soare Robert I. , Computational complexity, speedable and levelable sets, this Journal, vol. 42 (1977), no. 4, pp. 545–563.

3. A recursively enumerable degree which will not split over all lesser ones

4. [8] Jahn Michael A. , Implicit measurements of dynamic complexity properties and splittings of speedable sets, this Journal, vol. 64 (1999), no. 3, pp. 1037–1064.

5. [7] Friedberg Richard M. , Three theorems on recursive enumeration. I. Decomposition. II. Maximal set. III. Enumeration without duplication, this Journal, vol. 23 (1958), pp. 309–316.

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1. Splitting theorems and low degrees;Computability;2019-09-20

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