Twenty-five years of constructive type theory : proceedings of a congress held in Venice, October 1995
著者
書誌事項
Twenty-five years of constructive type theory : proceedings of a congress held in Venice, October 1995
（Oxford logic guides, 36）
Clarendon Press , Oxford University Press, 1998
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注記
Includes bibliographical references
内容説明・目次
内容説明
Per Martin-Loef's work on the development of constructive type theory has been of huge significance in the fields of logic and the foundations of mathematics. It is also of broader philosophical significance, and has important applications in areas such as computing science and linguistics. This volume draws together contributions from researchers whose work builds on the theory developed by Martin-Loef over the last twenty-five years. As well as celebrating
the anniversary of the birth of the subject it covers many of the diverse fields which are now influenced by type theory. It is an invaluable record of areas of current activity, but also contains contributions from N. G. de Bruijn and William Tait, both important figures in the early development of the
subject. Also published for the first time is one of Per Martin-Loef's earliest papers.
目次
- 1. Yet another constructivization of classical logic
- 2. Extension of Martin-Lof's type theory with record types
- 3. Type-theoretical checking and philosophy of mathematics
- 4. The Hahn-Banach theorem in type theory
- 5. A realizability interpretation of Martin-Lof's type theory
- 6. The groupoid interpretation of type theory
- 7. An intuitionistic theory of types
- 8. Analytic program derivation in type theory
- 9. About storage operators
- 10. On universes in type theory
- 11. How to believe a machine-checked proof
- 12. Building up a toolbox for Martin-Lof's type theory: subset theory
- 13. An introduction to well-ordering proofs in Martin-Lof's type theory
- 14. Variable-free formalization of the Curry-Howard theory
- 15. The forget-restore principle: a paradigmatic example
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