Natural Deduction, Hybrid Systems and Modal Logics

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 Class...

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Bibliographic Details
Main Author: Indrzejczak, Andrzej. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: Dordrecht : Springer Netherlands, 2010.
Series:Trends in Logic ; 30
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-90-481-8785-0
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505 0 # |a Preface -- Introduction -- 1. Technical preliminaries -- 2. Standard Natural Deduction for Classical and Free Logic -- 3. Other Deductive Systems -- 4. Extended Natural Deduction -- 5. Background on Modal Logics -- 6. Survey of Natural Deduction and related formalizations for Modal Logics -- 7. Nonstandard Formalizations of Modal Logics -- 8. Labelled Natural Deduction -- 9. Case study of Logics with linear accessibility relation -- 10. Hybrid Logics -- Concluding remarks -- Bibliography -- Index. 
520 # # |a 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. 
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