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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 proof th...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge University Press
2011.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Descripción Física: | 1 online resource (272) |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781139137928 1139137921 9781107008953 1107008956 9781139003513 1139003518 1107222060 9781107222069 1283316765 9781283316767 9786613316769 6613316768 1139139479 9781139139472 1139145258 9781139145251 1139141058 9781139141055 1139141937 9781139141932 |