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.
Author(s): Rob Arthan (auth.), Jacques Carette, Lucas Dixon, Claudio Sacerdoti Coen, Stephen M. Watt (eds.)
Series: Lecture Notes in Computer Science 5625 : Lecture Notes in Artificial Intelligence
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2009
Language: English
Pages: 493
Tags: Artificial Intelligence (incl. Robotics); Data Mining and Knowledge Discovery; Information Systems Applications (incl.Internet); Symbolic and Algebraic Manipulation; Numeric Computing; Computer Communication Networks
Front Matter....Pages -
Computational Logic and Continuous Mathematics, Pure and Applied....Pages 1-1
Math-Literate Computers....Pages 2-13
Abstraction-Based Information Technology: A Framework for Open Mechanized Reasoning....Pages 14-26
Software Engineering for Mathematics....Pages 27-27
Some Traditional Mathematical Knowledge Management....Pages 28-28
Math Handwriting Recognition in Windows 7 and Its Benefits....Pages 29-30
Assembling the Digital Mathematics Library....Pages 31-31
CAMAL 40 Years on – Is Small Still Beautiful?....Pages 32-44
Conservative Retractions of Propositional Logic Theories by Means of Boolean Derivatives: Theoretical Foundations....Pages 45-58
Combining Coq and Gappa for Certifying Floating-Point Programs....Pages 59-74
A Comparison of Equality in Computer Algebra and Correctness in Mathematical Pedagogy....Pages 75-89
Exploring a Quantum Theory with Graph Rewriting and Computer Algebra....Pages 90-105
ACL2 Verification of Simplicial Degeneracy Programs in the Kenzo System....Pages 106-121
Combined Decision Techniques for the Existential Theory of the Reals....Pages 122-137
Reasoning with Generic Cases in the Arithmetic of Abstract Matrices....Pages 138-153
Invariant Properties of Third-Order Non-hyperbolic Linear Partial Differential Operators....Pages 154-169
A Groupoid of Isomorphic Data Transformations....Pages 170-185
Algorithms for the Functional Decomposition of Laurent Polynomials....Pages 186-200
A Linear Grammar Approach to Mathematical Formula Recognition from PDF....Pages 201-216
Formal Proof: Reconciling Correctness and Understanding....Pages 217-232
A Review of Mathematical Knowledge Management....Pages 233-246
OpenMath Content Dictionaries for SI Quantities and Units....Pages 247-262
Unifying Math Ontologies: A Tale of Two Standards....Pages 263-278
Integrating Web Services into Active Mathematical Documents....Pages 279-293
Representation for Interactive Exercises....Pages 294-309
The Characteristics of Writing Environments for Mathematics: Behavioral Consequences and Implications for Software Design and Usability....Pages 310-324
Canonical Forms in Interactive Exercise Assistants....Pages 325-340
Spreadsheet Interaction with Frames: Exploring a Mathematical Practice....Pages 341-356
Compensating the Computational Bias of Spreadsheets with MKM Techniques....Pages 357-372
MathLang Translation to Isabelle Syntax....Pages 373-388
A Mathematical Approach to Ontology Authoring and Documentation....Pages 389-404
A Logically Saturated Extension of ${{\bar\lambda\mu\tilde{\mu}}}$ ....Pages 405-421
From Tessellations to Table Interpretation....Pages 422-437
Finite Groups Representation Theory with Coq ....Pages 438-452
Collaborative Assistant to Handle MathML Expressions....Pages 453-459
Confidence Measures in Recognizing Handwritten Mathematical Symbols....Pages 460-466
Using Open Mathematical Documents to Interface Computer Algebra and Proof Assistant Systems....Pages 467-473
OpenMath in SCIEnce: SCSCP and POPCORN....Pages 474-479
A Knowledge Repository for Indefinite Integration Based on Transformation Rules....Pages 480-485
Natural Deduction Environment for Matita....Pages 486-491
Back Matter....Pages -
