The extendibility of relatively capping degrees under the weak truth table reducibility

Zhi Gen Jiang; Ang Sheng Li; Yue Fei Sui; Dong Ping Yang

The extendibility of relatively capping degrees under the weak truth table reducibility

Zhi Gen Jiang^*
, Ang Sheng Li
, Yue Fei Sui
, Dong Ping Yang

^*Corresponding author for this work

CAS - Institute of Software

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the extendibility of the relatively capping degrees under the weak truth table reducibility. We show that for any incomplete r.e. degree [d], there exists a [d]-cappable r.e. degree above any [d]-cappable r.e. degree under the weak truth table reducibility, where [x] is an r.e. degree under the weak truth table reducibility, or shortly, an r.e. wtt degree.

Original language	English
Pages (from-to)	385-394
Number of pages	10
Journal	Science in China Series A-Mathematics Physics Astronomy and Technological Science
Volume	37
Issue number	4
State	Published - Apr 1994
Externally published	Yes

Keywords

r.e. degree
reducibility

Cite this

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title = "The extendibility of relatively capping degrees under the weak truth table reducibility",

abstract = "We consider the extendibility of the relatively capping degrees under the weak truth table reducibility. We show that for any incomplete r.e. degree [d], there exists a [d]-cappable r.e. degree above any [d]-cappable r.e. degree under the weak truth table reducibility, where [x] is an r.e. degree under the weak truth table reducibility, or shortly, an r.e. wtt degree.",

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AU - Jiang, Zhi Gen

AU - Li, Ang Sheng

AU - Sui, Yue Fei

AU - Yang, Dong Ping

PY - 1994/4

Y1 - 1994/4

N2 - We consider the extendibility of the relatively capping degrees under the weak truth table reducibility. We show that for any incomplete r.e. degree [d], there exists a [d]-cappable r.e. degree above any [d]-cappable r.e. degree under the weak truth table reducibility, where [x] is an r.e. degree under the weak truth table reducibility, or shortly, an r.e. wtt degree.

AB - We consider the extendibility of the relatively capping degrees under the weak truth table reducibility. We show that for any incomplete r.e. degree [d], there exists a [d]-cappable r.e. degree above any [d]-cappable r.e. degree under the weak truth table reducibility, where [x] is an r.e. degree under the weak truth table reducibility, or shortly, an r.e. wtt degree.

KW - r.e. degree

KW - reducibility

UR - https://www.scopus.com/pages/publications/43949149317

M3 - 文章

AN - SCOPUS:43949149317

SN - 1001-6511

VL - 37

SP - 385

EP - 394

JO - Science in China Series A-Mathematics Physics Astronomy and Technological Science

JF - Science in China Series A-Mathematics Physics Astronomy and Technological Science

IS - 4

ER -

The extendibility of relatively capping degrees under the weak truth table reducibility

Abstract

Keywords

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