Sequents and Trees
Springer International Publishing (Verlag)
978-3-030-57144-3 (ISBN)
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.
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).
Introduction.- Analytic Sequent Calculus for CPL.- Gentzen's Sequent Calculus LK.- Purely Logical Sequent Calculus.- Sequent Calculi for Modal Logics.- Alternatives to CPL.- Appendix.
"Each chapter of the book is structured in a similar way and contains the basic definitions, facts and necessary discussion regarding the key notions, accompanied with new ideas and a wide reference list, followed by the author's clear and approachable style. This book is self-contained, presenting an extensive survey of the applications and usefulness of cut elimination, and seems to be an extremely interesting source not only for logicians and philosophers, but also for researchers in computer science." (Branislav Boricic, Mathematical Reviews, May, 2022)
“Each chapter of the book is structured in a similar way and contains the basic definitions, facts and necessary discussion regarding the key notions, accompanied with new ideas and a wide reference list, followed by the author's clear and approachable style. This book is self-contained, presenting an extensive survey of the applications and usefulness of cut elimination, and seems to be an extremely interesting source not only for logicians and philosophers, but also for researchers in computer science.” (Branislav Boričić, Mathematical Reviews, May, 2022)
Erscheinungsdatum | 18.12.2020 |
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Reihe/Serie | Studies in Universal Logic |
Zusatzinfo | XVI, 345 p. 15 illus., 1 illus. in color. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 711 g |
Themenwelt | Geisteswissenschaften ► Philosophie ► Logik |
Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
Schlagworte | cut elimination • Decidability • Hypersequent calculus • Interpolation • Modal Logics • Non-Classical Logics • Propositional logics • sequent calculus |
ISBN-10 | 3-030-57144-0 / 3030571440 |
ISBN-13 | 978-3-030-57144-3 / 9783030571443 |
Zustand | Neuware |
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