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  3. Proof Analysis
  • Cited by 93
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    • Publisher:
      Cambridge University Press
      Publication date:
      07 October 2011
      29 September 2011
      ISBN:
      9781139003513
      9781107008953
      9781107417236
      DOI:
      https://doi.org/10.1017/CBO9781139003513
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.72kg, 278 Pages
      Dimensions:
      (244 x 170 mm)
      Weight & Pages:
      0.45kg, 278 Pages
      • Subjects:
      Mathematics, Logic, Categories and Sets, Logic, Philosophy
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    Subjects:
    Mathematics, Logic, Categories and Sets, Logic, Philosophy
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    Book description

    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.

    Reviews

    "...provide a substantial contribution to the development of proof theory in mathematics.... The book covers a lot of useful material in a concise, efficient and very clearly structured manner. The chapters are written with a palpable intention to show how vast the applicability of the methods is. The results are uniform, general and require a high-level preparation in many different fields. This book can be seen as the stimulating continuation of the authors’ introductory book Structural Proof Theory..."
    --F. Poggiolesi, Institut d'Histoire et Philosophie des Sciences, Paris, France, History and Philosophy of Logic

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