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EBOOK
Author Pogorzelski, Witold, 1944-
Title Completeness theory for propositional logics / Witold A. Pogorzelski, Piotr Wojtylak.
Imprint Basel ; Boston : Birkhauser, 2008.

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Series Studies in universal logic
Studies in universal logic.
Subject Completeness theorem.
Alt Name Wojtylak, Piotr.
LOCATION CALL # STATUS MESSAGE
 OHIOLINK SPRINGER EBOOKS    ONLINE  
View online
Series Studies in universal logic
Studies in universal logic.
Subject Completeness theorem.
Alt Name Wojtylak, Piotr.
Description 1 online resource (viii 178 pages) : illustrations.
Bibliography Note Includes bibliographical references (pages 165-174)-and indexes.
Contents Basic notions; Semantic methods in propositional logic; Completeness of propositional logics; Characterizations of propositional connectives.
Summary The 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. Global variants of the notion mean the possibility of getting all correct and reliable schemata of inference. Its local variants refer to the notion of truth given by some semantics. A uniform theory of completeness in its general and local meaning is carried out and it generalizes and systematizes some variety of the notion of completeness such as Post-completeness, structural completeness and many others. This approach allows also for a more profound view upon some essential properties (e.g. two-valuedness) of propositional systems. For these purposes, the theory of logical matrices, and the theory of consequence operations is exploited.
Note Print version record.
ISBN 9783764385187
3764385189
9783764385170 (pbk.)
3764385170 (pbk.)
ISBN/ISSN 10.1007/978-3-7643-8518-7
Publisher # 12074907
OCLC # 272310985
Additional Format Print version: Pogorzelski, Witold, 1944- Completeness theory for propositional logics. Basel ; Boston : Birkhauser, 2008 9783764385170 3764385170 (DLC) 2008923069 (OCoLC)166368205