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Twenty-five years of constructive type theory : proceedings of a congress held in Venice, October 1995 /

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 linguisti...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Sambin, Giovanni, Smith, Jan M.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford : New York : Clarendon Press ; Oxford University Press, 1998.
Colección:Oxford logic guides ; 36.
Oxford science publications.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Twenty-five years of constructive type theory :  |b proceedings of a congress held in Venice, October 1995 /  |c edited by Giovanni Sambin and Jan M. Smith. 
246 3 |a 25 years of constructive type theory 
260 |a Oxford :  |b Clarendon Press ;  |a New York :  |b Oxford University Press,  |c 1998. 
300 |a 1 online resource (vii, 283 pages) 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Oxford logic guides ;  |v 36 
490 1 |a Oxford science publications 
504 |a Includes bibliographical references. 
588 0 |a Print version record. 
505 0 |a 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 
505 8 |a 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 
520 |a 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. 
546 |a English. 
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650 0 |a Type theory  |v Congresses. 
650 0 |a Constructive mathematics  |v Congresses. 
650 6 |a Théorie des types  |v Congrès. 
650 6 |a Mathématiques constructives  |v Congrès. 
650 7 |a MATHEMATICS  |x Infinity.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Logic.  |2 bisacsh 
650 7 |a Constructive mathematics  |2 fast 
650 7 |a Type theory  |2 fast 
650 7 |a Kongress  |2 gnd 
650 7 |a Typentheorie  |2 gnd 
650 1 7 |a Typentheorie.  |2 gtt 
650 1 7 |a Wiskundige logica.  |2 gtt 
650 7 |a Types, Théorie des.  |2 ram 
650 7 |a Philosophie et mathématiques.  |2 ram 
650 7 |a Mathématiques intuitionnistes.  |2 ram 
650 7 |a Théorèmes  |x Démonstration automatique.  |2 ram 
650 7 |a Théorie constructive type.  |2 ram 
655 7 |a Conference papers and proceedings  |2 fast 
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700 1 |a Sambin, Giovanni. 
700 1 |a Smith, Jan M. 
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830 0 |a Oxford logic guides ;  |v 36. 
830 0 |a Oxford science publications. 
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