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Intelligent Computer Mathematics

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As computers and communications technology advance, greater opportunities arise for intelligent mathematical computation. While c... Weiterlesen
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Beschreibung

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.



Inhalt

Joint Invited Talks.- Computational Logic and Continuous Mathematics, Pure and Applied.- Math-Literate Computers.- Abstraction-Based Information Technology: A Framework for Open Mechanized Reasoning.- Software Engineering for Mathematics.- Calculemus Talks.- Some Traditional Mathematical Knowledge Management.- Math Handwriting Recognition in Windows 7 and Its Benefits.- Assembling the Digital Mathematics Library.- CAMAL 40 Years on - Is Small Still Beautiful?.- Conservative Retractions of Propositional Logic Theories by Means of Boolean Derivatives: Theoretical Foundations.- Combining Coq and Gappa for Certifying Floating-Point Programs.- A Comparison of Equality in Computer Algebra and Correctness in Mathematical Pedagogy.- Exploring a Quantum Theory with Graph Rewriting and Computer Algebra.- ACL2 Verification of Simplicial Degeneracy Programs in the Kenzo System.- Combined Decision Techniques for the Existential Theory of the Reals.- Reasoning with Generic Cases in the Arithmetic of Abstract Matrices.- Invariant Properties of Third-Order Non-hyperbolic Linear Partial Differential Operators.- A Groupoid of Isomorphic Data Transformations.- Algorithms for the Functional Decomposition of Laurent Polynomials.- MKM Talks.- A Linear Grammar Approach to Mathematical Formula Recognition from PDF.- Formal Proof: Reconciling Correctness and Understanding.- A Review of Mathematical Knowledge Management.- OpenMath Content Dictionaries for SI Quantities and Units.- Unifying Math Ontologies: A Tale of Two Standards.- Integrating Web Services into Active Mathematical Documents.- Representation for Interactive Exercises.- The Characteristics of Writing Environments for Mathematics: Behavioral Consequences and Implications for Software Design and Usability.- Canonical Forms in Interactive Exercise Assistants.- Spreadsheet Interaction with Frames: Exploring a Mathematical Practice.- Compensating the Computational Bias of Spreadsheets with MKM Techniques.- MathLang Translation to Isabelle Syntax.- A Mathematical Approach to Ontology Authoring and Documentation.- A Logically Saturated Extension of .- From Tessellations to Table Interpretation.- Finite Groups Representation Theory with Coq.- Collaborative Assistant to Handle MathML Expressions.- Confidence Measures in Recognizing Handwritten Mathematical Symbols.- Using Open Mathematical Documents to Interface Computer Algebra and Proof Assistant Systems.- OpenMath in SCIEnce: SCSCP and POPCORN.- A Knowledge Repository for Indefinite Integration Based on Transformation Rules.- Natural Deduction Environment for Matita.

Produktinformationen

Titel: Intelligent Computer Mathematics
Untertitel: 16th Symposium, Calculemus 2009, 8th International Conference, MKM 2009, Grand Bend, Canada, July 6-12, 2009, Proceedings
Editor:
EAN: 9783642026140
ISBN: 978-3-642-02614-0
Digitaler Kopierschutz: Wasserzeichen
Format: E-Book (pdf)
Hersteller: Springer Berlin Heidelberg
Herausgeber: Springer, Berlin
Genre: IT & Internet
Anzahl Seiten: 493
Veröffentlichung: 06.07.2009
Jahr: 2009
Dateigrösse: 10.2 MB

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