Intelligent Computer Mathematics: 16th Symposium, Calculemus 2009, 8th International Conference, Mkm 2009, Grand Bend, Canada, July 6-12, 2009, Proceedings - Lecture Notes in Computer Science / Lecture Notes in Artificial Intelligence

Jacket Description/Back: This book constitutes the joint refereed proceedings of the 16th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2009 and the 8th International Conference on Mathematical Knowledge Management, MKM 2009, held in Grand Bend, Canada, as CICM 2009, the Conferences on Intelligent Computer Mathematics. The 10 revised full papers and 4 invited talks for Calculemus 2009 and 16 revised full papers and 6 short communications for MKM 2009 presented together with 4 joint invited talks were carefully reviewed and selected from a total of 51 submissions. The papers of Calculemus 2009 cover all aspects of the interplay of mechanized reasoning and computer algebra, as well as the development of integrated systems that transcend both computer algebra and theorem proving. The focus of MKM 2009 lies at the intersection of mathematics and computer science with the goal of developing effective techniques, based on formal mathematics and software technology. The realm of mathematical information is an attractive candidate for testing innovative theoretical and technological solutions for content-based systems, interoperability, management of machine understandable information, and the semantic Web. Table of Contents: 1. Joint Invited Talks -- Computational Logic and Continuous Mathematics, Pure and Applied / Rob Arthan -- Math-Literate Computers / Dorothea Blostein -- Abstraction-Based Information Technology: A Framework for Open Mechanized Reasoning / Jacques Calmet -- Software Engineering for Mathematics / Georges Gonthier -- 2. Calculemus Talks -- Some Traditional Mathematical Knowledge Management / Patrick D. F. Ion -- Math Handwriting Recognition in Windows 7 and Its Benefits / Marko Panic -- Assembling the Digital Mathematics Library / David Ruddy -- CAMAL 40 Years on - Is Small Still Beautiful? / John Fitch -- Conservative Retractions of Propositional Logic Theories by Means of Boolean Derivatives: Theoretical Foundations / Gonzalo A. Aranda-Corral, JoaquIn Borrego-DIaz, M. Magdalena FernAndez-LebrOn -- Combining Coq and Gappa for Certifying Floating-Point Programs / Sylvie Boldo, Jean-Christophe Filli&ahat;tre, Guillaume Melquiond -- A Comparison of Equality in Computer Algebra and Correctness in Mathematical Pedagogy / Russell Bradford, James H. Davenport, Christopher J. Sangwin -- Exploring a Quantum Theory with Graph Rewriting and Computer Algebra / Aleks Kissinger -- ACL2 Verification of Simplicial Degeneracy Programs in the Kenzo System / Francisco-Jesus, MartIn-Mateos, Julio Rubio, Jose-Luis Ruiz-Reina -- Combined Decision Techniques for the Existential Theory of the Reals / Grant Olney Passmore, Paul B. Jackson -- Reasoning with Generic Cases in the Arithmetic of Abstract Matrices / Alan P. Sexton, Volker Sorge, Stephen M. Watt -- Invariant Properties of Third-Order Non-hyperbolic Linear Partial Differential Operators / Ekaterina Shemyakova -- A Groupoid of Isomorphic Data Transformations / Paul Tarau -- Algorithms for the Functional Decomposition of Laurent Polynomials / Stephen M. Watt -- 3. MKM Talks -- A Linear Grammar Approach to Mathematical Formula Recognition from PDF / Josef B. Baker, Alan P. Sexton, Volker Sorge -- Formal Proof: Reconciling Correctness and Understanding / Cristian S. Calude, Christine M&uumlet;ller -- A Review of Mathematical Knowledge Management / Jacques Carette, William M. Farmer -- OpenMath Content Dictionaries for SI Quantities and Units / Joseph B. Collins -- Unifying Math Ontologies: A Tale of Two Standards / James H. Davenport, Michael Kohlhase -- Integrating Web Services into Active Mathematical Documents / Jana Giceva, Christoph Lange, Florian Rabe -- Representation for Interactive Exercises / George Goguadze -- The Characteristics of Writing Environments for Mathematics: Behavioral Consequences and Implications for Software Design and Usability / Davood G. Gozli, Marco Pollanen, Michael Reynolds -- Canonical Forms in Interactive Exercise Assistants / Bastiaan Heeren, Johan Jeuring -- Spreadsheet Interaction with Frames: Exploring a Mathematical Practice / Andrea Kohlhase, Michael Kohlhase -- Compensating the Computational Bias of Spreadsheets with MKM Techniques / Andrea Kohlhase, Michael Kohlhase -- MathLang Translation to Isabelle Syntax / Robert Lamar, Fairouz Kamareddine, J. B. Wells -- A Mathematical Approach to Ontology Authoring and Documentation / Christoph Lange, Michael Kohlhase -- A Logically Saturated Extension of ?&bar;??&bar; / Lionel Elie Mamane, Herman Geuvers, James McKinna -- From Tessellations to Table Interpretation / Ramana C. Jandhyala, Mukkai Krishnamoorthy, George Nagy, Raghav Padmanabhan, Sharad Seth, William Silversmith -- Finite Groups Representation Theory with CoQ / Sidi Ould Biha -- Collaborative Assistant to Handle MathML Expressions / Aslam Muhammad, Ana Maria Martinez Enriquez, Gonzalo Escalada-Imaz -- Confidence Measures in Recognizing Handwritten Mathematical Symbols / Oleg Golubitsky, Stephen M. Watt -- Using Open Mathematical Documents to Interface Computer Algebra and Proof Assistant Systems / JOnathan Heras, Vico Pascual, Julio Rubio -- OpenMath in SCIEnce: SCSCP and POPCORN / Peter Horn, Dan Roozemond -- A Knowledge Repository for Indefinite Integration Based on Transformation Rules / A. D. Rich, D. J. Jeffrey -- Natural Deduction Environment for Matita / Claudio Sacerdoti Coen, Enrico Tassi -- Author Index. Publisher Marketing: As computers and communications technology advance, greater opportunities arise for intelligent mathematical computation. While computer algebra, au- mated deduction and mathematical publishing each have long and successful histories, we are now seeing increasing opportunities for synergy among them. The Conferences on Intelligent Computer Mathematics (cicm 2009) is a c- lection of co-located meetings, allowing researchers and practitioners active in these related areas to share recent results and identify the next challenges. The speci?c areas of the cicm conferences and workshops are described below, but the unifying theme is the computerized handling of mathematical knowledge. The successful formalization of much of mathematics, as well as a better - derstanding of its internal structure, makes mathematical knowledge in many waysmore tractable than generalknowledge, as traditionally treatedin arti?cial intelligence. Similarly, we can also expect the problem of e?ectively using ma- ematical knowledge in automated ways to be much more tractable. This is the goal of the work in the cicm conferences and workshops. In the long view, so- ing the problems addressed by cicm is an important milestone in formulating the next generation of mathematical software