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Intensional interpretations of functionals of finite type I
Abstract
T 0 will denote Gödel's theory T[3] of functionals of finite type (f.t.) with intuitionistic quantification over each f.t. added. T 1 will denote T 0 together with definition by bar recursion of type o, the axiom schema of bar induction, and the schema of choice. Precise descriptions of these systems are given below in §4. The main results of this paper are interpretations of T 0 in intuitionistic arithmetic U 0 and of T 1 in intuitionistic analysis is U 1. U 1 is U 0 with quantification over functionals of type (0,0) and the axiom schemata AC 00 and of bar induction.
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Cited by
Compiling polymorphism using intensional type analysis
Harper, R., & Morrisett, G. (1995) · Proceedings of the 22nd ACM SIGPLAN-SIGACT symposium on Principles of programming languages - POPL '95 · doi:10.1145/199448.199475 · Cited by 295
Computational types from a logical perspective
BENTON, P. N., BIERMAN, G. M., & DE PAIVA, V. C. V. (1998) · Journal of Functional Programming · doi:10.1017/s0956796898002998 · Cited by 110
Metadata
- Authors
- Tait, W. W.
- Venue
- Journal of Symbolic Logic
- Publisher
- Cambridge University Press (CUP)
- Published
- 1967-08
- Volume
- 32
- Issue
- 2
- Pages
- 198-212
- ISSN
- 0022-4812 (ISSN-L)
- 1943-5886
- OpenAlex
- W2149837936
- Cited by
- 557
- References
- 0
- FWCI
- 0.97
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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