Sequents and Trees: An Introduction to the Theory and Applications of Propositional Sequent Calculi (Studies in Universal Logic) - Hardcover

Buch 17 von 18: Studies in Universal Logic

Indrzejczak, Andrzej

 
9783030571443: Sequents and Trees: An Introduction to the Theory and Applications of Propositional Sequent Calculi (Studies in Universal Logic)
Hardcover
ISBN 10: 3030571440 ISBN 13: 9783030571443
Verlag: Birkhäuser, 2020

Inhaltsangabe

This textbook offers a detailed introduction to the methodology and applications of sequent calculi in propositional logic. Unlike other texts concerned with proof theory, emphasis is placed on illustrating how to use sequent calculi to prove a wide range of metatheoretical results.  The presentation is elementary and self-contained, with all technical details both formally stated and also informally explained.  Numerous proofs are worked through to demonstrate methods of proving important results, such as the cut-elimination theorem, completeness, decidability, and interpolation.  Other proofs are presented with portions left as exercises for readers, allowing them to practice techniques of sequent calculus.

After a brief introduction to classical propositional logic, the text explores three variants of sequent calculus and their features and applications.  The remaining chapters then show how sequent calculi can be extended, modified, andapplied to non-classical logics, including modal, intuitionistic, substructural, and many-valued logics.

Sequents and Trees is suitable for graduate and advanced undergraduate students in logic taking courses on proof theory and its application to non-classical logics.  It will also be of interest to researchers in computer science and philosophers.

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Über die Autorin bzw. den Autor

Andrzej Indrzejczak is a logician working on the problems of proof theory and its applications to non-classical logics. He is an author of several papers on natural deduction and sequent systems for modal and temporal logics, and of the monograph Natural Deduction, Hybrid Systems and Modal Logics (Springer, 2010).

Von der hinteren Coverseite

This textbook offers a detailed introduction to the methodology and applications of sequent calculus in propositional logic. Unlike other texts concerned with proof theory, emphasis is placed on illustrating how to use sequent calculus to prove a wide range of metatheoretical results.  The presentation is elementary and self-contained, with all technical details both formally stated and also informally explained.  Numerous proofs are worked through to demonstrate methods of proving important results, such as the cut-elimination theorem, completeness, decidability, and interpolation.  Other proofs are presented with portions left as exercises for readers, allowing them to practice techniques of sequent calculus.


After a brief introduction to classical propositional logic, the text explores three variants of sequent calculus and their features and applications.  The remaining chapters then show how sequent calculi can be extended, modified, and applied to non-classical logics, including modal, intuitionistic, subcultural, and many-valued logics.

Sequents and Trees is suitable for graduate and advanced undergraduate students in logic taking courses on proof theory and its application to non-classical logics.  It will also be of interest to researchers in computer science and philosophers.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Birkhäuser
Erscheinungsdatum
2020
Sprache
Englisch
ISBN 10 
3030571440
ISBN 13 
9783030571443
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
361
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9783030571474: Sequents and Trees: An Introduction to the Theory and Applications of Propositional Sequent Calculi (Studies in Universal Logic)

Vorgestellte Ausgabe

ISBN 10:  3030571475 ISBN 13:  9783030571474
Verlag: Birkhäuser, 2021
Softcover