| Description |
1 online resource (292 pages) |
| Series |
Oxford Logic Guides,36 |
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Oxford Logic Guides,36
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| 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 |
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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 |
| Notes |
Print version record |
| Subject |
Type theory -- Congresses
|
|
Logic, Symbolic and mathematical -- Congresses
|
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Logic, Symbolic and mathematical.
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Type theory.
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| Genre/Form |
Conference papers and proceedings.
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| Form |
Electronic book
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| Author |
Smith, Jan M
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| ISBN |
9780191589034 |
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0191589039 |
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