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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Grundlagen Decidability of Logical Theories and Their Combination
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Decidability of Logical Theories and Their Combination
João Rasga, Cristina Sernadas (Broschiert, Englisch)
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Beschreibung
This textbook provides a self-contained introduction to decidability of first-order theories and their combination. The technical material is presented in a systematic and universal way and illustrated with plenty of examples and a range of proposed exercises. After an overview of basic first-order logic concepts, the authors discuss some model-theoretic notions like embeddings, diagrams, and… elementary substructures. The text then goes on to explore an applicable way to deduce logical consequences from a given theory and presents sufficient conditions for a theory to be decidable. The chapters that follow focus on quantifier elimination, decidability of the combination of first-order theories and the basics of computability theory. The inclusion of a chapter on Gentzen calculus, cut elimination, and Craig interpolation, as well as a chapter on combination of theories and preservation of decidability, help to set this volume apart from similar books in the field. Decidability of Logical Theories and their Combination is ideal for graduate students of Mathematics and is equally suitable for Computer Science, Philosophy and Physics students who are interested in gaining a deeper understanding of the subject. The book is also directed to researchers that intend to get acquainted with first-order theories and their combination. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
22.10.2021
Sprache
Englisch
EAN
9783030565565
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Studies in Universal Logic
Sonderedition
Nein
Autor
João Rasga, Cristina Sernadas
Seitenanzahl
178
Einbandart
Broschiert
Autorenporträt
João Rasga is an Associate Professor and Cristina Sernadas is a Full Professor at the Mathematics Department of Instituto Superior Técnico
Schlagwörter
First-order logical theories, Decidability of first-order logical theories, Combination of first-order logical theories, Gentzen Calculus, Gentzen calculus for first-order logic, Quantifier Elimination, Quantifier elimination first-order logic, Craig interpolation
Thema-Inhalt
PBCD - Mathematik: Logik
PBC - Mathematische Grundlagen
UYA - Theoretische Informatik
PBB - Philosophie der Mathematik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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