Sequents and Trees : an Introduction to the Theory and Applications of Propositional Sequent Calculi / Andrzej Indrzejczak

By:

Indrzejczak, Andrzej [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Studies in Universal Logic | Springer eBook CollectionPublisher: Cham : Birkhäuser, [2021]Copyright date: © 2021Description: 1 Online-Ressource (XVI, 345 Seiten) : Illustrationen, DiagrammeISBN:

9783030571450

Subject(s):

Additional physical formats: 9783030571443 | 9783030571467 | 9783030571474 | Erscheint auch als: 9783030571443 Druck-Ausgabe | Erscheint auch als: 9783030571467 Druck-Ausgabe | Erscheint auch als: 9783030571474 Druck-AusgabeDOI: DOI: 10.1007/978-3-030-57145-0Online resources:

Summary: Introduction -- Analytic Sequent Calculus for CPL -- Gentzen's Sequent Calculus LK -- Purely Logical Sequent Calculus -- Sequent Calculi for Modal Logics -- Alternatives to CPL -- Appendix.Summary: 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.PPN: PPN: 1743800835Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

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