## Abstract In this paper we study the logical strength of the determinacy of infinite binary games in terms of second order arithmetic. We define new determinacy schemata inspired by the Wadge classes of Polish spaces and show the following equivalences over the system RCA~0~\*, which consists of
Riesz representation theorem, Borel measures and subsystems of second-order arithmetic
β Scribed by Xiaokang Yu
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 811 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0168-0072
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
let m β E be a finitely additive measure with finite semivariation, defined on a Ξ΄-ring of subsets of a given set S. A theory of integration of vector-valued functions f S β E, applicable to the stochastic integration in Banach spaces, is developed in [6, Sect. 5]. Many times a measure m is defined
## Abstract In this paper we study the determinacy strength of infinite games in the Cantor space and compare them with their counterparts in the Baire space. We show the following theorems: 1. RCA~0~ β’ $ \Delta^0\_1 $βDet\* β $ \Sigma^0\_1 $βDet\* β WKL~0~. 2. RCA~0~ β’ ($ \Sigma^0\_1 $)2βDet\* β