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 proof th...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2011
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| Links: | https://doi.org/10.1017/CBO9781139003513 |
| Zusammenfassung: | 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 proof theory of pure logic is included that serves both the mathematically and philosophically oriented reader. The method is built up gradually, with examples drawn from theories of order, lattice theory and elementary geometry. The aim is, in each of the examples, to help the reader grasp the combinatorial behaviour of an axiom system, which typically leads to decidability results. The last part presents, as an application and extension of all that precedes it, a proof-theoretical approach to the Kripke semantics of modal and related logics, with a great number of new results, providing essential reading for mathematical and philosophical logicians. |
| Umfang: | 1 Online-Ressource (xi, 265 Seiten) |
| ISBN: | 9781139003513 |
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| spelling | Negri, Sara 1967- Proof analysis a contribution to Hilbert's last problem Sara Negri, Jan von Plato Cambridge Cambridge University Press 2011 1 Online-Ressource (xi, 265 Seiten) txt c cr 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 proof theory of pure logic is included that serves both the mathematically and philosophically oriented reader. The method is built up gradually, with examples drawn from theories of order, lattice theory and elementary geometry. The aim is, in each of the examples, to help the reader grasp the combinatorial behaviour of an axiom system, which typically leads to decidability results. The last part presents, as an application and extension of all that precedes it, a proof-theoretical approach to the Kripke semantics of modal and related logics, with a great number of new results, providing essential reading for mathematical and philosophical logicians. Von Plato, Jan Erscheint auch als Druck-Ausgabe 9781107008953 Erscheint auch als Druck-Ausgabe 9781107417236 |
| spellingShingle | Negri, Sara 1967- Proof analysis a contribution to Hilbert's last problem |
| title | Proof analysis a contribution to Hilbert's last problem |
| title_auth | Proof analysis a contribution to Hilbert's last problem |
| title_exact_search | Proof analysis a contribution to Hilbert's last problem |
| title_full | Proof analysis a contribution to Hilbert's last problem Sara Negri, Jan von Plato |
| title_fullStr | Proof analysis a contribution to Hilbert's last problem Sara Negri, Jan von Plato |
| title_full_unstemmed | Proof analysis a contribution to Hilbert's last problem Sara Negri, Jan von Plato |
| title_short | Proof analysis |
| title_sort | proof analysis a contribution to hilbert s last problem |
| title_sub | a contribution to Hilbert's last problem |
| work_keys_str_mv | AT negrisara proofanalysisacontributiontohilbertslastproblem AT vonplatojan proofanalysisacontributiontohilbertslastproblem |