Sequents and Trees : An Introduction to the Theory and Applications of Propositional Sequent Calculi (Studies in Universal Logic) （2021）

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Sequents and Trees : An Introduction to the Theory and Applications of Propositional Sequent Calculi (Studies in Universal Logic) （2021）

Indrzejczak, Andrzej

ウェブストア価格 ¥11,458（本体¥10,417）
Springer Nature Switzerland AG（2021/12発売）
外貨定価 US$ 54.99
ポイント 104pt

オンデマンド(OD/POD)版です。キャンセルは承れません。

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製本 Paperback:紙装版/ペーパーバック版／ページ数 345 p.
言語 ENG
商品コード 9783030571474
DDC分類 511.3

Full Description

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.

Introduction.- Analytic Sequent Calculus for CPL.- Gentzen's Sequent Calculus LK.- Purely Logical Sequent Calculus.- Sequent Calculi for Modal Logics.- Alternatives to CPL.- Appendix.