Mathematical Problems from Applied Logic I: Logics for the XXIst Century (International Mathematical Series Book 4)

**Mathematical Problems from Applied Logic I** presents chapters from selected, world renowned, logicians. Important topics of logic are discussed from the point of view of their further development in light of requirements arising from their successful application in areas such as Computer Science and AI language. An overview of the current state as well as open problems and perspectives are clarified in such fields as non-standard inferences in description logics, logic of provability, logical dynamics and computability theory. The book contains interesting contributions concerning the role of logic today, including some unexpected aspects of contemporary logic and the application of logic. This should be of interest to logicians and mathematicians in general. Contributors include: Franz Baader (Germany) and Ralf Küsters (Germany), Lev Beklemishev (The Netherlands/Russia) and Albert Visser (The Netherlands), Johan van Benthem (The Netherlands/USA), S Barry Cooper (UK), John N Crossley (Australia), Wilfrid A Hodges (UK), and Lawrence S Moss (USA). This Is An Overview Of The Current State Of Knowledge Along With Open Problems And Perspectives, Clarified In Such Fields As Non-standard Inferences In Description Logics, Logic Of Provability, Logical Dynamics And Computability Theory. The Book Includes Contributions Concerning The Role Of Logic Today, Including Unexpected Aspects Of Contemporary Logic And The Application Of Logic. This Book Will Be Of Interest To Logicians And Mathematicians In General. Nonstandard Inferences in Description Logics: The Story So Far....Pages 1-75 Problems in the Logic of Provability....Pages 77-136 Open Problems in Logical Dynamics....Pages 137-192 Computability and Emergence....Pages 193-231 Samsara....Pages 233-276 Two Doors to Open....Pages 277-316 Applied Logic: A Manifesto....Pages 317-343 "The book contains interesting contributions concerning the role of logic today, including some unexpected aspects of contemporary logic and the application of logic. This should be of interest to logicians and mathematicians in general."--BOOK JACKET