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Proof analysis : a contribution to Hilbert's last problem /
"This book continues from where the authors' previous book, Structural Proof Theory, ended. It presents an extension of the methods of analysis of proofs in pure logic to elementary axiomatic systems and to what is known as philosophical logic. A self-contained brief introduction to the pr...
| Κύριοι συγγραφείς: | , |
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| Μορφή: | Printed Book |
| Γλώσσα: | English |
| Έκδοση: |
Cambridge, UK ; New York :
Cambridge University Press,
2011.
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| Θέματα: | |
| Διαθέσιμο Online: | Cover image |
Πίνακας περιεχομένων:
- Machine generated contents note: Prologue: Hilbert's Last Problem; 1. Introduction; Part I. Proof Systems Based on Natural Deduction: 2. Rules of proof: natural deduction; 3. Axiomatic systems; 4. Order and lattice theory; 5. Theories with existence axioms; Part II. Proof Systems Based on Sequent Calculus: 6. Rules of proof: sequent calculus; 7. Linear order; Part III. Proof Systems for Geometric Theories: 8. Geometric theories; 9. Classical and intuitionistic axiomatics; 10. Proof analysis in elementary geometry; Part IV. Proof Systems for Nonclassical Logics: 11. Modal logic; 12. Quantified modal logic, provability logic, and so on; Bibliography; Index of names; Index of subjects.