## Abstract Let us say that any (Turing) degree **__d__** > **0** __satisfies the minimal complementation property__ (MCP) if for every degree **0** < **__a__** < **__d__** there exists a minimal degree **__b__** < **__d__** such that **__a__** ∨ **__b__** = **__d__** (and therefore **__a__** ∧ **_
Properly Σ2 minimal degrees and 0″ complementation
✍ Scribed by S. Barry Cooper; Andrew E. M. Lewis; Yue Yang
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 96 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
✦ Synopsis
We show that there exists a properly Σ2 minimal (Turing) degree b, and moreover that b can be chosen to join with 0 to 0 -so that b is a 0 complement for every degree a such that 0 ≤ a < 0 .
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