Structural Proof Theory
Seiten
2001
Cambridge University Press (Verlag)
978-0-521-79307-0 (ISBN)
Cambridge University Press (Verlag)
978-0-521-79307-0 (ISBN)
Structural proof theory studies the general structure and properties of logical and mathematical proofs. This book is both a concise introduction to structural proof theory and a work of research that will be of interest to specialists. A special feature is a downloadable computer program for developing proofs interactively.
Structural proof theory is a branch of logic that studies the general structure and properties of logical and mathematical proofs. This book is both a concise introduction to the central results and methods of structural proof theory, and a work of research that will be of interest to specialists. The book is designed to be used by students of philosophy, mathematics and computer science. The book contains a wealth of results on proof-theoretical systems, including extensions of such systems from logic to mathematics, and on the connection between the two main forms of structural proof theory - natural deduction and sequent calculus. The authors emphasize the computational content of logical results. A special feature of the volume is a computerized system for developing proofs interactively, downloadable from the web and regularly updated.
Structural proof theory is a branch of logic that studies the general structure and properties of logical and mathematical proofs. This book is both a concise introduction to the central results and methods of structural proof theory, and a work of research that will be of interest to specialists. The book is designed to be used by students of philosophy, mathematics and computer science. The book contains a wealth of results on proof-theoretical systems, including extensions of such systems from logic to mathematics, and on the connection between the two main forms of structural proof theory - natural deduction and sequent calculus. The authors emphasize the computational content of logical results. A special feature of the volume is a computerized system for developing proofs interactively, downloadable from the web and regularly updated.
Introduction; 1. From natural deduction to sequent calculus; 2. Sequent calculus for institutionistic logic; 3. Sequent calculus for classical logic; 4. The quantifiers; 5. Variants of sequent calculi; 6. Structural proof analysis of axiomatic theories; 7. Intermediate logical systems; 8. Back to natural deduction; Conclusion: diversity and unity in structural proof theory; Appendix A. Simple type theory and categorical grammar; Appendix B. Proof theory and constructive type theory; Appendix C. A proof editor for sequent calculus.
| Erscheint lt. Verlag | 18.6.2001 |
|---|---|
| Mitarbeit |
Anhang von: Aarne Ranta |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 160 x 235 mm |
| Gewicht | 599 g |
| Themenwelt | Geisteswissenschaften ► Philosophie ► Logik |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| Naturwissenschaften | |
| ISBN-10 | 0-521-79307-6 / 0521793076 |
| ISBN-13 | 978-0-521-79307-0 / 9780521793070 |
| Zustand | Neuware |
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