Decidability of Logical Theories and Their Combination (Studies in Universal Logic) - Hardcover

Book 16 of 18: Studies in Universal Logic

Rasga, Joćo; Sernadas, Cristina

 
9783030565534: Decidability of Logical Theories and Their Combination (Studies in Universal Logic)
Hardcover
ISBN 10: 303056553X ISBN 13: 9783030565534
Publisher: Birkhäuser, 2020

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

Joćo Rasga is an Associate Professor and Cristina Sernadas is a Full Professor at the Mathematics Department of Instituto Superior Técnico

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Birkhäuser
Publication date
2020
Language
English
ISBN 10 
303056553X
ISBN 13 
9783030565534
Binding
Hardcover
Edition number
1
Number of pages
191

Other Popular Editions of the Same Title

9783030565565: Decidability of Logical Theories and Their Combination (Studies in Universal Logic)

Featured Edition

ISBN 10:  3030565564 ISBN 13:  9783030565565
Publisher: Birkhäuser, 2021
Softcover