Proof Analysis
eBook - PDF

Proof Analysis

A Contribution to Hilbert's Last Problem

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Proof Analysis

A Contribution to Hilbert's Last Problem

About this book

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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Yes, you can access Proof Analysis by Sara Negri,Jan von Plato in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Contents
  5. Preface
  6. Prologue: Hilbert's last problem
  7. 1 Introduction
  8. I Proof systems based on natural deduction
  9. II Proof systems based on sequent calculus
  10. III Proof systems for geometric theories
  11. IV Proof systems for non-classical logics
  12. Bibliography
  13. Index of names
  14. Index of subjects