Proof analysis : a contribution to Hilbert's last problem
 Author/Creator
 Negri, Sara, 1967
 Language
 English.
 Imprint
 Cambridge ; New York : Cambridge University Press, 2011.
 Physical description
 xi, 265 p. ; 26 cm.
Access
Contributors
 Contributor
 Von Plato, Jan.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 254261) and indexes.
 Contents

 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.
 (source: Nielsen Book Data)
 Publisher's Summary
 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 selfcontained 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 prooftheoretical 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.
(source: Nielsen Book Data)  Supplemental links
 Cover image
Subjects
 Subject
 Proof theory.
Bibliographic information
 Publication date
 2011
 Responsibility
 Sara Negri, Jan von Plato.
 ISBN
 9781107008953
 1107008956