On the Π11-separation principle
✍ Scribed by Antonio Montalbán
- Book ID
- 102486051
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 203 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
✦ Synopsis
We study the proof-theoretic strength of the Π 1 1 -separation axiom scheme, and we show that Π 1 1 -separation lies strictly in between the Δ 1 1 -comprehension and Σ 1 1 -choice axiom schemes over RCA0.
📜 SIMILAR VOLUMES
We construct coverings which unravel given 1 1 sets. This in turn is used to prove, from optimal large cardinal assumptions, the determinacy of games with A 1 1 payo and the determinacy of games with payo in the algebra generated by 1 1 sets.
The 'E+-\*II separation in KO is investigated using large basis sets and high levels of correlation treatment. Relativistic effects are included at the Dirac-Fock level and reduce the separation only slightly. The basis set superposition error is considered in detail. On the basis of these calculati