Well-partial orderings and hierarchies
β Scribed by D.H.J de Jongh; Rohit Parikh
- Publisher
- Elsevier Science
- Year
- 1977
- Weight
- 722 KB
- Volume
- 80
- Category
- Article
- ISSN
- 1385-7258
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## Abstract Connections between partially ordered connectives and Henkin quantifiers are considered. It is proved that the logic with all partially ordered connectives and the logic with all Henkin quantifiers coincide. This implies that the hierarchy of partially ordered connectives is strongly hi
The constructions and proofs of this paper are to be understood as taking place in some kind of basic set theory or type theory, based on intuitionistic logic. \lie assunie a set N of natural numbers, satisfying HEYTING'S arithmetic (with full induction) ; we can form products of sets, and subsets o