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...
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Oxford : New York :
Clarendon Press ; Oxford University Press,
1998.
|
| Schriftenreihe: | Oxford logic guides ;
36. Oxford science publications. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (vii, 283 pages) |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9780191589034 0191589039 1280819723 9781280819728 9786610819720 6610819726 0191916544 9780191916540 |
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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 | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 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. | ||
| 650 | 0 | |a Type theory |v Congresses. | |
| 650 | 0 | |a Constructive mathematics |v Congresses. | |
| 650 | 6 | |a Théorie des types |v Congrès. | |
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| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 655 | 7 | |a Venedig (1995) |2 swd | |
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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 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 |
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| genre_facet | Conference papers and proceedings Venedig (1995) |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:17:47Z |
| institution | BVB |
| isbn | 9780191589034 0191589039 1280819723 9781280819728 9786610819720 6610819726 0191916544 9780191916540 |
| language | English |
| oclc_num | 714897085 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (vii, 283 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Clarendon Press ; Oxford University Press, |
| record_format | marc |
| series | Oxford logic guides ; Oxford science publications. |
| series2 | Oxford logic guides ; Oxford science publications |
| spelling | Twenty-five years of constructive type theory : proceedings of a congress held in Venice, October 1995 / edited by Giovanni Sambin and Jan M. Smith. 25 years of constructive type theory Oxford : Clarendon Press ; New York : Oxford University Press, 1998. 1 online resource (vii, 283 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Oxford logic guides ; 36 Oxford science publications Includes bibliographical references. Print version record. 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 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. Type theory Congresses. Constructive mathematics Congresses. Théorie des types Congrès. Mathématiques constructives Congrès. MATHEMATICS Infinity. bisacsh MATHEMATICS Logic. bisacsh Constructive mathematics fast Type theory fast Kongress gnd http://d-nb.info/gnd/4130470-6 Typentheorie gnd http://d-nb.info/gnd/4121795-0 Typentheorie. gtt Wiskundige logica. gtt Types, Théorie des. ram Philosophie et mathématiques. ram Mathématiques intuitionnistes. ram Théorèmes Démonstration automatique. ram Théorie constructive type. ram Conference papers and proceedings fast Venedig (1995) swd Sambin, Giovanni. http://id.loc.gov/authorities/names/n98056985 Smith, Jan M. http://id.loc.gov/authorities/names/n88151273 has work: Twenty-five years of constructive type theory (Text) https://id.oclc.org/worldcat/entity/E39PCFTPrbt8TKWYbt4QGBXQmb https://id.oclc.org/worldcat/ontology/hasWork Print version: Twenty-five years of constructive type theory. Oxford : Clarendon Press ; New York : Oxford University Press, 1998 0198501277 (DLC) 98029962 (OCoLC)39368504 Oxford logic guides ; 36. http://id.loc.gov/authorities/names/n42018411 Oxford science publications. http://id.loc.gov/authorities/names/n42027424 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=363639 Volltext |
| spellingShingle | Twenty-five years of constructive type theory : proceedings of a congress held in Venice, October 1995 / Oxford logic guides ; Oxford science publications. 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 Type theory Congresses. Constructive mathematics Congresses. Théorie des types Congrès. Mathématiques constructives Congrès. MATHEMATICS Infinity. bisacsh MATHEMATICS Logic. bisacsh Constructive mathematics fast Type theory fast Kongress gnd http://d-nb.info/gnd/4130470-6 Typentheorie gnd http://d-nb.info/gnd/4121795-0 Typentheorie. gtt Wiskundige logica. gtt Types, Théorie des. ram Philosophie et mathématiques. ram Mathématiques intuitionnistes. ram Théorèmes Démonstration automatique. ram Théorie constructive type. ram |
| subject_GND | http://d-nb.info/gnd/4130470-6 http://d-nb.info/gnd/4121795-0 |
| title | Twenty-five years of constructive type theory : proceedings of a congress held in Venice, October 1995 / |
| title_alt | 25 years of constructive type theory |
| title_auth | Twenty-five years of constructive type theory : proceedings of a congress held in Venice, October 1995 / |
| title_exact_search | Twenty-five years of constructive type theory : proceedings of a congress held in Venice, October 1995 / |
| title_full | Twenty-five years of constructive type theory : proceedings of a congress held in Venice, October 1995 / edited by Giovanni Sambin and Jan M. Smith. |
| title_fullStr | Twenty-five years of constructive type theory : proceedings of a congress held in Venice, October 1995 / edited by Giovanni Sambin and Jan M. Smith. |
| title_full_unstemmed | Twenty-five years of constructive type theory : proceedings of a congress held in Venice, October 1995 / edited by Giovanni Sambin and Jan M. Smith. |
| title_short | Twenty-five years of constructive type theory : |
| title_sort | twenty five years of constructive type theory proceedings of a congress held in venice october 1995 |
| title_sub | proceedings of a congress held in Venice, October 1995 / |
| topic | Type theory Congresses. Constructive mathematics Congresses. Théorie des types Congrès. Mathématiques constructives Congrès. MATHEMATICS Infinity. bisacsh MATHEMATICS Logic. bisacsh Constructive mathematics fast Type theory fast Kongress gnd http://d-nb.info/gnd/4130470-6 Typentheorie gnd http://d-nb.info/gnd/4121795-0 Typentheorie. gtt Wiskundige logica. gtt Types, Théorie des. ram Philosophie et mathématiques. ram Mathématiques intuitionnistes. ram Théorèmes Démonstration automatique. ram Théorie constructive type. ram |
| topic_facet | Type theory Congresses. Constructive mathematics Congresses. Théorie des types Congrès. Mathématiques constructives Congrès. MATHEMATICS Infinity. MATHEMATICS Logic. Constructive mathematics Type theory Kongress Typentheorie Typentheorie. Wiskundige logica. Types, Théorie des. Philosophie et mathématiques. Mathématiques intuitionnistes. Théorèmes Démonstration automatique. Théorie constructive type. Conference papers and proceedings Venedig (1995) |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=363639 |
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