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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



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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 Visualizza cluster
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-Löf 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  Visualizza cluster
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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Serie: Oxford logic guides ; ; 36. Oxford science publications.