Proof Theory of Modal Logic

1. Auflage. Softcover version of original hardcover Auflage 1996
ISBN: 978-90-481-4720-5
Verlag: Springer Netherlands

Buch, Englisch, Band 2, 318 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 505 g

Reihe: Applied Logic Series

is devoted to a thorough study of proof systems for modal logics, that is, logics of necessity, possibility, knowledge, belief, time, computations etc. It contains many new technical results and presentations of novel proof procedures. The volume is of immense importance for the interdisciplinary fields of logic, knowledge representation, and automated deduction.

Zielgruppe

Research

Autoren/Hrsg.

Wansing, Heinrich

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Robotik
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Wissensbasierte Systeme, Expertensysteme
• Geisteswissenschaften Philosophie Philosophische Logik, Argumentationstheorie

Inhaltsverzeichnis

I Standard Proof Systems.- A Contraction-free Sequent Calculus for S4.- Transfer of Sequent Calculus Strategies to Resolution for S4.- A Linear Approach to Modal Proof Theory.- Refutations and Proofs in S4.- II Extended Formalisms.- Relational Proof Systems for Modal Logics.- The Display Problem.- Power and Weakness of the Modal Display Calculus.- A Proof-theoretic Proof of Functional Completeness for Many Modal and Tense Logics.- On the Completeness of Classical Modal Display Logic.- Modal Sequents.- Modal Functional Completeness.- A Computational Interpretation of Modal Proofs.- Gabbay-style Calculi.- III Translation-based Proof Systems.- Translating Graded Modalities into Predicate Logics.- From Classical to Normal Modal Logics.