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Typing in reflective combinatory logic

✍ Scribed by Nikolai Krupski


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
253 KB
Volume
141
Category
Article
ISSN
0168-0072

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Arithmetic based on the Church numerals
✍ M. W. Bunder πŸ“‚ Article πŸ“… 1988 πŸ› Springer Netherlands 🌐 English βš– 589 KB

In the early thirties, Church developed predicate calculus within a system based on lambda calculus. Rosser and Kleene developed Arithmetic within this system, but using a Godelization technique showed the system to be inconsistent. Alternative systems to that of Church have been developed, but so