© 2010

Natural Deduction, Hybrid Systems and Modal Logics


Part of the Trends in Logic book series (TREN, volume 30)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Andrzej Indrzejczak
    Pages 1-27
  3. Andrzej Indrzejczak
    Pages 28-74
  4. Andrzej Indrzejczak
    Pages 75-94
  5. Andrzej Indrzejczak
    Pages 95-136
  6. Andrzej Indrzejczak
    Pages 137-181
  7. Andrzej Indrzejczak
    Pages 182-220
  8. Andrzej Indrzejczak
    Pages 221-258
  9. Andrzej Indrzejczak
    Pages 259-296
  10. Andrzej Indrzejczak
    Pages 297-331
  11. Andrzej Indrzejczak
    Pages 332-362
  12. Andrzej Indrzejczak
    Pages 363-397
  13. Andrzej Indrzejczak
    Pages 398-444
  14. Back Matter
    Pages 445-491

About this book


This volume provides an extensive treatment of Natural Deduction and related types of proof systems, with a focus on the practical aspects of proof methods. The book has two main aims: Its first aim is to provide a systematic and historical survey of the variety of Natural Deduction systems in Classical and Modal Logics. The second aim is to present some systems of hybrid character, mixing Natural Deduction with other kinds of proof methods (including Sequent systems, Tableaux, Resolution). Such systems tend to be more universal and effective, because of the possibility of mixing strategies of proof search from different areas. All necessary background material is provided, in particular, a detailed presentation of Modal Logics, including First-Order Modal and Hybrid Modal Logics. The deduction systems presented in the book may be of interest to working logicians, researchers on automated deduction and teachers of logic.


Classical logic Frames Hybrid logics Hybrid systems Natural deduction Proof theory Racter Resolution Temporal logics logic modal logic proving

Authors and affiliations

  1. 1.Dept. LogicUniversity of LódzLódzPoland

About the authors

Andrzej Indrzejczak is professor of logic and Head of the Department of General Methodology at the University of Lodz, Poland. His scientific interests include the proof theory for non-classical logics, the philosophy of logic and the methodology of science. He is the author of three books and numerous papers concerned mainly with the investigation of proof techniques for non-classical logics, published e.g. in Bulletin of the Section of Logic, Logic Journal of the IGPL, Logic and Logical Philosophy, Logica Trianguli, and Studia Logica.

Bibliographic information