Completeness Theory for Propositional Logics - Brossura

Pogorzelski, Witold A.

Brossura

ISBN 10: 3764385170 ISBN 13: 9783764385170

Casa editrice: Birkhäuser, 2008

Riassunto

This book develops the theory of one of the most important notions in the methodology of formal systems. Particularly, completeness plays an important role in propositional logic where many variants of the notion have been defined. This approach allows also for a more profound view upon some essential properties of propositional systems. For these purposes, the theory of logical matrices, and the theory of consequence operations is exploited.

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Recensione:

From the reviews:

“The book provides a uniform treatment of the variety of results centered around the completeness property. ... book is a good introduction to the problems of completeness. A wealth of examples, comments and theorems well elucidate various difficult aspects of the theory. ... From the methodological viewpoint, the book applies the tools that were elaborated in metalogic ... . AAL also offers subtle tools for tackling some of the problems raised in the book.” (Janusz M. Czelakowski, Mathematical Reviews, Issue 2010 c)

“The book is written with exceptional clarity and precision. This combination makes it accessible to a wide spectrum of potential readers, and hence it can be recommended to anyone interested in formal logic. ... the book may stimulate to further research by opening new fields of investigation and introducing new concepts and ideas. Finally, one cannot miss the extensive and up-to-date bibliography which is included in the book. Summing up, the book ... offers a deep and intelligible exposition of completeness theory in propositional logics.”­­­ (Tomasz Połacik, Studia Logica, Vol. 95, 2010)

Contenuti:

Basic notions.- Semantic methods in propositional logic.- Completeness of propositional logics.- Characterizations of propositional connectives.

Su questa edizione

• Editore: Birkhäuser
• Data di pubblicazione: 2008
• ISBN 10: 3764385170
• ISBN 13: 9783764385170
• Rilegatura: Copertina flessibile
• Numero di pagine: 188