Mathematical Problems from Applied Logic I by Michael Zakharyaschev
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Mathematical Problems from Applied Logic I

Mathematical Problems from Applied Logic I


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About the Book

Nonstandard Inferences in Description Logics: The Story So Far, Franz Baader and Ralf Küsters: Introduction.- Description Logics and Standard Inferences.- Nonstandard Inferences-Motivation and Definitions.- A Structural Characterization of Subsumption.- The Least Common Subsumer.- The Most Specific Concept.- Rewriting.- Matching.- Conclusion and Future Perspectives.- Problems in the Logic of Provability, Lev Beklemishev and Albert Visser: Introduction.- Informal Concepts of Proof.- Basics of Provability Logic.- Provability Logic for Intuitionistic Arithmetic.- Provability Logic and Bounded Arithmetic.- Classification of Bimodal Provability Logics.- Magari Algebras.- Interpretability Logic.- Graded Provability Algebras.- List of Problems.- Open Problems in Logical Dynamics, Johan van Benthem: Logical Dynamics.- Standard Epistemic Logic.- Public Announcement: Epistemic Logic Dynamified.- Dynamic Epistemic Logic.- Background in Standard Logics.- From Information Update to Belief Revision.- Temporal Epistemic logic.- Game Logics and Game Theory.- Conclusion.- Computability and Emergence, S Barry Cooper: An Emergent World around Us.- Descriptions, Algorithms, and the Breakdown of Inductive Structure.- Ontology and Mathematical Structure.- Where does It All Start? -Towards a Model Based on Algorithmic Content.- Levels of Reality.- Algorithmic Content Revisited.- What Is to Be Done?- Samsara, [The endless cycle of death and rebirth to which life in the material world is bound. (OED)], John N Crossley: Introduction.- An Example of a Process.- What Logics Do We Need?- What are Logical Systems and What Should They Be?- The Nature of Proof.- Final Remarks.- Two Doors to Open, Wilfrid Hodges: Logic and Cognitive Science.- Medieval Arabic Semantics.- Applied Logic: A Manifesto, Lawrence SMoss: What is Applied Logic?- Mathematics and Logic, but Different from Mathematical Logic.- Applied Philosophical Logic.- What Does Computer Science Have to Do with It?- Other Case Studies.- Being as catholic as Possible.- Subject Index.


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Product Details
  • ISBN-13: 9781441921109
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Edition: 1st ed. Softcover of orig. ed. 2006
  • Language: English
  • Returnable: Y
  • Spine Width: 20 mm
  • Weight: 575 gr
  • ISBN-10: 1441921109
  • Publisher Date: 25 Nov 2010
  • Binding: Paperback
  • Height: 234 mm
  • No of Pages: 348
  • Series Title: International Mathematical
  • Sub Title: Logics for the Xxist Century
  • Width: 156 mm


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