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Studies in Universal Logic
cover

Sequents and Trees

An Introduction to the Theory and Applications of Propositional Sequent Calculi

Authors: Indrzejczak, Andrzej

  • Considers the methodology and techniques of sequent calculus to illustrate its use in proving a wide range of metatheoretical results
  • Includes many results and their proofs that are often not well known or easily accessible
  • Examines important and nonstandard generalized sequent calculi, like hypersequent and structured sequent calculi.
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eBook 53,49 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: December 13, 2020
  • ISBN 978-3-030-57145-0
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 67,59 €
price for Spain (gross)
  • Due: December 13, 2020
  • ISBN 978-3-030-57144-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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, 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.

About the authors

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).

Buy this book

eBook 53,49 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: December 13, 2020
  • ISBN 978-3-030-57145-0
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 67,59 €
price for Spain (gross)
  • Due: December 13, 2020
  • ISBN 978-3-030-57144-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Sequents and Trees
Book Subtitle
An Introduction to the Theory and Applications of Propositional Sequent Calculi
Authors
Series Title
Studies in Universal Logic
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-57145-0
DOI
10.1007/978-3-030-57145-0
Hardcover ISBN
978-3-030-57144-3
Series ISSN
2297-0282
Edition Number
1
Number of Pages
XIII, 341
Topics

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