A Constructive Interpretation of the Full Set Theory
β Scribed by Valentin F. Turchin
- Book ID
- 120602559
- Publisher
- Association for Symbolic Logic
- Year
- 1987
- Tongue
- English
- Weight
- 699 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0022-4812
- DOI
- 10.2307/2273872
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π SIMILAR VOLUMES
In the present paper we give a functional interpretation of Aczel's constructive set theories CZF -and CZF in systems Tβ and T + β of constructive set functionals of ΓΏnite types. This interpretation is obtained by a translation Γ , a reΓΏnement of the β§ -translation introduced by Diller and Nahm (Arc
An axiomatic constructive development of the theory of nearness and apartness of a point and a set is introduced as a setting for topology.
## Abstract Constructive set theory started with Myhill's seminal 1975 article [8]. This paper will be concerned with axiomatizations of the natural numbers in constructive set theory discerned in [3], clarifying the deductive relationships between these axiomatizations and the strength of various