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Titolo: | Twenty-five years of constructive type theory [[electronic resource] ] : proceedings of a congress held in Venice, October 1995 / / edited by Giovanni Sambin and Jan M. Smith |
Pubblicazione: | Oxford, : Clarendon Press |
New York, : Oxford University Press, 1998 | |
Descrizione fisica: | 1 online resource (292 p.) |
Disciplina: | 511.3 |
Soggetto topico: | Type theory |
Logic, Symbolic and mathematical | |
Soggetto genere / forma: | Electronic books. |
Altri autori: | SambinGiovanni SmithJan M |
Note generali: | Previously issued in print: Oxford: Clarendon Press, 1998. |
Nota di bibliografia: | Includes bibliographical references. |
Nota di contenuto: | 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 | |
Sommario/riassunto: | Martin-LoÌf type theory is an important and practical formalisation of the foundations of mathematics. This volume celebrates the 25th anniversary of the birth of the subject, and is a record of areas of activity and of its early development. |
Titolo autorizzato: | Twenty-five years of constructive type theory |
ISBN: | 0-19-191654-4 |
1-280-81972-3 | |
9786610819720 | |
0-19-158903-9 | |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910456015503321 |
Lo trovi qui: | Univ. Federico II |
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