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Proof Theory of Modal Logic 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.
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Table of Contents
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.
Edition Notes
Includes bibliographical references and index.
Print version record.
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September 29, 2024 | Edited by MARC Bot | import existing book |
February 26, 2022 | Edited by ImportBot | import existing book |
July 6, 2019 | Created by MARC Bot | import new book |