Advances in Modal Logic: Volume 1
Published on 30. June 1998
Book
Hardback
408 pages
978-1-57586-103-6 (ISBN)
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Description
Modal logic originated in philosophy as the logic of necessity and possibility. Now it has reached a high level of mathematical sophistication and has many applications in a variety of disciplines, including theoretical and applied computer science, artificial intelligence, the foundations of mathematics, and natural language syntax and semantics. This volume represents the proceedings of the first international workshop on Advances in Modal Logic, held in Berlin, Germany, October 8-10, 1996. It offers an up-to-date perspective on the field, with contributions covering its proof theory, its applications in knowledge representation, computing and mathematics, as well as its theoretical underpinnings.
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Content
1. Shakespearean modal logic: a labeled treatment of modal identity; 2. Terminological modal logic; 3. What are hybrid languages?; 4. On the degree of neighborhood incompleteness of normal modal logics; 5. Uniform interpolation, automata and the modal µ-calculus; 6. Fischer Servi's intuitionistic modal logic has the finite model property; 7. Topological next time logic; 8. On the incompleteness of modal logics of space: advancing complete modal logics of place; 9. Interpolation in Superintuitionistic and Modal Predicate Logics with Equality; 10. Mosaics and Cylindric Modal Logic of Dimension; 11. Cut-Free Indexed Calculi for Modal Logics Containing the Barcan axiom; 12. Minimal Knowledge States in Nonmonotonic Modal Logics; 13. Resolution is a Decision Procedure for Many Propositional Modal Logics; 14. On Strong Neighbourhood Completeness of Modal and Intermediate Propositional Logics; 15. Duality in Superintuitionistic and Modal Predicate Logics; 16. On the Relationship between Models of Parallel Computations; 17. On Isomorphisms between Canonical Frames; 18. Hyper Arrow Structures, Arrow Logics; 19. Atom structures; 20. An Overview of Interpretability Logic; 21. Fusions of Modal Logics Revisited.