Proof Theory of Modal Logic
Published on 31. October 1996
Book
Hardback
X, 318 pages
978-0-7923-4120-8 (ISBN)
Description
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.
More details
Series
Edition
1996 ed.
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
X, 318 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 24 mm
Weight
662 gr
ISBN-13
978-0-7923-4120-8 (9780792341208)
DOI
10.1007/978-94-017-2798-3
Schweitzer Classification
Other editions
Additional editions
Content
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.