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The range of contributions includes material on the extension of natural deduction with higher-order rules, as opposed to higher-order connectives, and a paper discussing the application of natural deduction rules to dealing with equality in predicate calculus. The volume continues with a key chapter summarizing work on the extension of the Curry-Howard isomorphism (itself a by-product of the work on natural deduction), via methods of category theory that have been successfully applied to linear logic, as well as many other contributions from highly regarded authorities. With an illustrious group of contributors addressing a wealth of topics and applications, this volume is a valuable addition to the libraries of academics in the multiple disciplines whose development has been given added scope by the methodologies supplied by natural deduction. The volume is representative of the rich and varied directions that Prawitz work has inspired in the area of natural deduction.
The range of contributions includes material on the extension of natural deduction with higher-order rules, as opposed to higher-order connectives, and a paper discussing the application of natural deduction rules to dealing with equality in predicate calculus. The volume continues with a key chapter summarizing work on the extension of the Curry-Howard isomorphism (itself a by-product of the work on natural deduction), via methods of category theory that have been successfully applied to linear logic, as well as many other contributions from highly regarded authorities. With an illustrious group of contributors addressing a wealth of topics and applications, this volume is a valuable addition to the libraries of academics in the multiple disciplines whose development has been given added scope by the methodologies supplied by natural deduction. The volume is representative of the rich and varied directions that Prawitz work has inspired in the area of natural deduction.
First comprehensive collection to cover the diverse elements of natural deduction, and a celebration of the ground-breaking work of Dag Prawitz
Surveys the full range of novel research directions
Collects original papers covering the work of celebrated figures in the field of natural deduction?
Includes supplementary material: [...]
Chapter 1. Generalizaed elimination inferences; Schroeder-Heister, Peter.- Chapter 2. Revisiting Zucker's work on the Correspondence between Cut-Elimination and Normalisation; Urban, Christian.- Chapter 3. Proofs, Reasoning and the Metamorphosis of Logic; Joinet, Jean-Baptiste.- Chapter 4. Natural Deduction for Equality: The Missing Entity; de Quieroz, Ruy J.G.B. and de Oliveira, Anjolina G.- Chapter 5. Proof-theoretical Conception of Logic; Legris, Javier.- Chapter 6. On the Structure of Natural deduction Derivations for "Generally"; Vana, Leonardo B., Veloso, Paulo A.S. , and Veloso, Sheila R.M.- Chapter 7. Type Theories from Barendregt's Cube for Theorem Provers; Seldin, Jonathan P.- Chapter 8. What is propositional logic, a theory of, if anything?; Chateaubriand, Oswaldo.- Chapter 9. Categorical Semantics of Linear Logic for All; de Paiva, Valeria.- Chapter 10. Rough sets and proof-theory; Bellin, Gianluigi.- Chapter 11. Decomposition of Reduction; Zimmermann, Ernst.- Chapter 12. An approach to general proof theory and a conjecture of a kind of completeness of intuitionistic logic revisited; Prawitz, Dag.¿
Erscheinungsjahr: | 2014 |
---|---|
Fachbereich: | Allgemeines |
Genre: | Importe, Philosophie |
Jahrhundert: | Antike |
Rubrik: | Geisteswissenschaften |
Thema: | Lexika |
Medium: | Buch |
Inhalt: |
xvi
279 S. 24 s/w Illustr. 279 p. 24 illus. |
ISBN-13: | 9789400775473 |
ISBN-10: | 9400775474 |
Sprache: | Englisch |
Herstellernummer: | 86166327 |
Einband: | Gebunden |
Redaktion: |
Pereira, Luiz Carlos
De Paiva, Valeria Haeusler, Edward |
Herausgeber: | Luiz Carlos Pereira/Edward Haeusler/Valeria de Paiva |
Hersteller: |
Springer Netherland
Springer Netherlands |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 241 x 160 x 22 mm |
Von/Mit: | Luiz Carlos Pereira (u. a.) |
Erscheinungsdatum: | 17.03.2014 |
Gewicht: | 0,612 kg |
First comprehensive collection to cover the diverse elements of natural deduction, and a celebration of the ground-breaking work of Dag Prawitz
Surveys the full range of novel research directions
Collects original papers covering the work of celebrated figures in the field of natural deduction?
Includes supplementary material: [...]
Chapter 1. Generalizaed elimination inferences; Schroeder-Heister, Peter.- Chapter 2. Revisiting Zucker's work on the Correspondence between Cut-Elimination and Normalisation; Urban, Christian.- Chapter 3. Proofs, Reasoning and the Metamorphosis of Logic; Joinet, Jean-Baptiste.- Chapter 4. Natural Deduction for Equality: The Missing Entity; de Quieroz, Ruy J.G.B. and de Oliveira, Anjolina G.- Chapter 5. Proof-theoretical Conception of Logic; Legris, Javier.- Chapter 6. On the Structure of Natural deduction Derivations for "Generally"; Vana, Leonardo B., Veloso, Paulo A.S. , and Veloso, Sheila R.M.- Chapter 7. Type Theories from Barendregt's Cube for Theorem Provers; Seldin, Jonathan P.- Chapter 8. What is propositional logic, a theory of, if anything?; Chateaubriand, Oswaldo.- Chapter 9. Categorical Semantics of Linear Logic for All; de Paiva, Valeria.- Chapter 10. Rough sets and proof-theory; Bellin, Gianluigi.- Chapter 11. Decomposition of Reduction; Zimmermann, Ernst.- Chapter 12. An approach to general proof theory and a conjecture of a kind of completeness of intuitionistic logic revisited; Prawitz, Dag.¿
Erscheinungsjahr: | 2014 |
---|---|
Fachbereich: | Allgemeines |
Genre: | Importe, Philosophie |
Jahrhundert: | Antike |
Rubrik: | Geisteswissenschaften |
Thema: | Lexika |
Medium: | Buch |
Inhalt: |
xvi
279 S. 24 s/w Illustr. 279 p. 24 illus. |
ISBN-13: | 9789400775473 |
ISBN-10: | 9400775474 |
Sprache: | Englisch |
Herstellernummer: | 86166327 |
Einband: | Gebunden |
Redaktion: |
Pereira, Luiz Carlos
De Paiva, Valeria Haeusler, Edward |
Herausgeber: | Luiz Carlos Pereira/Edward Haeusler/Valeria de Paiva |
Hersteller: |
Springer Netherland
Springer Netherlands |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 241 x 160 x 22 mm |
Von/Mit: | Luiz Carlos Pereira (u. a.) |
Erscheinungsdatum: | 17.03.2014 |
Gewicht: | 0,612 kg |