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Catalogue Information
Field name	Details
Dewey Class	511.36
Title	Sequents and Trees ([EBook] :) : An Introduction to the Theory and Applications of Propositional Sequent Calculi / / by Andrzej Indrzejczak.
Author	Indrzejczak, Andrzej
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2021.
Publication	Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2021.
Physical Details	XVI, 345 p. 15 illus., 1 illus. in color. : online resource.
Series	Studies in Universal Logic 2297-0290
ISBN	9783030571450
Summary Note	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.:
Contents note	Introduction -- Analytic Sequent Calculus for CPL -- Gentzen's Sequent Calculus LK -- Purely Logical Sequent Calculus -- Sequent Calculi for Modal Logics -- Alternatives to CPL -- Appendix.
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-57145-0
Links to Related Works	Subject References: Logic . Mathematics—Philosophy . Philosophy of Mathematics . Proof theory . Proof Theory and Constructive Mathematics . Authors: author . Indrzejczak, Andrzej . Corporate Authors: SpringerLink (Online service) . Series: Studies in Universal Logic . Classification: 511.36 .

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Sequents and Trees: An Introduction to the Theory and Applications of Propositional Sequent Calculi /

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