Twenty-five years of constructive type theory : proceedings of a congress held in Venice, October 1995 / edited by Giovanni Sambin and Jan M. Smith.

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Material type: Text

TextSeries: Oxford logic guides ; 36. | Oxford science publicationsPublication details: Oxford : Clarendon Press ; New York : Oxford University Press, 1998.Description: 1 online resource (vii, 283 pages)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9780191589034
0191589039
1280819723
9781280819728
9786610819720
6610819726
0191916544
9780191916540

Other title:

25 years of constructive type theory

Subject(s): Genre/Form:

Additional physical formats: Print version:: Twenty-five years of constructive type theory.DDC classification:

511.3 22

LOC classification:

QA9.A1 T94 1998eb

Other classification:

31.10
SD 1995
SS 1995

Online resources:

Click here to access online

Contents:

Cover; Contents; 1. Yet another constructivization of classical logic; 2. Extension of Martin-Löf's type theory with record types and subtyping; 3. Type-theoretical checking and philosophy of mathematics; 4. The Hahn-Banach theorem in type theory; 5. A realizability interpretation of Martin-Löf's type theory; 6. The groupoid interpretation of type theory; 7. Analytic program derivation in type theory; 8. An intuitionistic theory of types; 9. On storage operators; 10. On universes in type theory; 11. How to believe a machine-checked proof

12. Building up a toolbox for Martin-Löf's type theory: subset theory13. An introduction to well-ordering proofs in Martin-Löf's type theory; 14. Variable-free formalization of the Curry-Howard theory; 15. The forget-restore principle: a paradigmatic example

Summary: Per Martin-L--ouml--;f'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-L--ouml--;f over the last twenty-five years. As well as celebrating the anniversaryof the birth of the subject it covers many of the diverse fields which are now influenced by type theory. It.

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Print version record.

Per Martin-L--ouml--;f'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-L--ouml--;f over the last twenty-five years. As well as celebrating the anniversaryof the birth of the subject it covers many of the diverse fields which are now influenced by type theory. It.

English.

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