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© 2013

Belief Revision in Non-Classical Logics

  • Includes an introduction to belief revision and non-classical logics

  • Presents representation theorems for belief revision compliant with OWL-DL

  • Awarded the best paper prize by the Brazilian Computer Society (SBC)

Book

Part of the SpringerBriefs in Computer Science book series (BRIEFSCOMPUTER)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Márcio Moretto Ribeiro
    Pages 1-6
  3. Márcio Moretto Ribeiro
    Pages 7-17
  4. Márcio Moretto Ribeiro
    Pages 19-44
  5. Márcio Moretto Ribeiro
    Pages 45-70
  6. Márcio Moretto Ribeiro
    Pages 71-82
  7. Márcio Moretto Ribeiro
    Pages 83-90
  8. Márcio Moretto Ribeiro
    Pages 91-104
  9. Márcio Moretto Ribeiro
    Pages 105-113
  10. Márcio Moretto Ribeiro
    Pages 115-117
  11. Back Matter
    Pages 119-120

About this book

Introduction

Since the advent of the Semantic Web, interest in the dynamics of ontologies (ontology evolution) has grown significantly. Belief revision presents a good theoretical framework for dealing with this problem; however, classical belief revision is not well suited for logics such as Description Logics.

Belief Revision in Non-Classical Logics presents a framework which can be applied to a wide class of logics that include – besides most Description Logics such as the ones behind OWL – Horn Logic and Intuitionistic logic, amongst others. The author also presents algorithms for the most important constructions in belief bases. Researchers and practitioners in theoretical computing will find this an invaluable resource.

Keywords

AGM Theory Belief Revision Knowledge Representation Non-classical Logics Ontology Evolution

Authors and affiliations

  1. 1.Centro de Lógica EpistemologiaUniversidade Estadual de CampinasCampinasBrazil

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Reviews

From the reviews:

“The book is truly self-contained, and the reader will appreciate that the proofs of all results, including the most well-known ones, are given in detail. The proposed generalisation of belief contraction and belief revision to classes of logics defined by properties of their consequence relations is a valuable addition to the field, with natural concepts and significant results.” (Éric Martin, Zentralblatt MATH, Vol. 1256, 2013)