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This book constitutes the refereed proceedings of the 5th International Conference on Mathematical Knowledge Management, MKM 2006, held in Wokingham, UK in August 2006 as official satellite event of the International Congress of Mathematicians, ICM 2006.
The 22 revised full papers presented were carefully selected during two rounds of reviewing and improvement. The papers in this volume cover the whole area of mathematical knowledge management in the intersection of mathematics, computer science, library science, and scientific publishing. The papers are organized in topical sections on proof representations, proof processing, knowledge extraction, knowledge representation, as well as systems and tools.
Invited Talks.- The Omega Number: Irreducible Complexity in Pure Math.- Roles of Math Search in Mathematics.- Contributed Papers.- Structured Induction Proofs in Isabelle/Isar.- Interpretation of Locales in Isabelle: Theories and Proof Contexts.- A Dynamic Poincaré Principle.- A Proof-Theoretic Approach to Tactics.- A Formal Correspondence Between OMDoc with Alternative Proofs and the -Calculus.- Proof Transformation by CERES.- Synthesizing Proof Planning Methods and ?-Ants Agents from Mathematical Knowledge.- Verifying and Invalidating Textbook Proofs Using Scunak.- Capturing Abstract Matrices from Paper.- Towards a Parser for Mathematical Formula Recognition.- Stochastic Modelling of Scientific Terms Distribution in Publications.- Capturing the Content of Physics: Systems, Observables, and Experiments.- Communities of Practice in MKM: An Extensional Model.- From Notation to Semantics: There and Back Again.- Managing Informal Mathematical Knowledge: Techniques from Informal Logic.- From Untyped to Polymorphically Typed Objects in Mathematical Web Services.- Managing Automatically Formed Mathematical Theories.- Authoring LeActiveMath Calculus Content.- Information Retrieval and Rendering with MML Query.- Integrating Dynamic Geometry Software, Deduction Systems, and Theorem Repositories.