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This book constitutes the joint refereed proceedings of the 9th International Conference on Artificial Intelligence and Symbolic Computation, AISC 2008, the 15th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2008, and the 7th International Conference on Mathematical Knowledge Management, MKM 2008, held in Birmingham, UK, in July/August as CICM 2008, the Conferences on Intelligent Computer Mathematics.The 14 revised full papers for AISC 2008, 10 revised full papers for Calculemus 2008, and 18 revised full papers for MKM 2008, plus 5 invited talks, were carefully reviewed and selected from a total of 81 submissions for a joint presentation in the book. The papers cover different aspects of traditional branches in CS such as computer algebra, theorem proving, and artificial intelligence in general, as well as newly emerging ones such as user interfaces, knowledge management, and theory exploration, thus facilitating the development of integrated mechanized mathematical assistants that will be routinely used by mathematicians, computer scientists, and engineers in their every-day business.

Contributions to AISC 2008
Invited Talks
Symmetry and Search - A Survey	p. 1
On a Hybrid Symbolic-Connectionist Approach for Modeling the Kinematic Robot Map - and Benchmarks for Computer Algebra	p. 2
Contributed Papers
Applying Link Grammar Formalismin the Development of English-Indonesian Machine Translation System	p. 17
Case Studies in Model Manipulation for Scientific Computing	p. 24
Mechanising a Proof of Craig's Interpolation Theorem for Intuitionistic Logic in Nominal Isabelle	p. 38
AISC Meets Natural Typography	p. 53
The Monoids of Order Eight and Nine	p. 61
Extending Graphical Representations for Compact Closed Categories with Applications to Symbolic Quantum Computation	p. 77
A Full First-Order Constraint Solver for Decomposable Theories	p. 93
Search Techniques for Rational Polynomial Orders	p. 109
Strategies for Solving SAT in Grids by Randomized Search	p. 125
Towards an Implementation of a Computer Algebra System in a Functional Language	p. 141
Automated Model Building: From Finite to Infinite Models	p. 155
A Groebner Bases Based Many-Valued Modal Logic Implementation in Maple	p. 170
On the Construction of Transformation Steps in the Category of Multiagent Systems	p. 184
Increasing Interpretations	p. 191
Contributions to Calculemus 2008
Invited Talk
Validated Evaluation of Special Mathematical Functions	p. 206
Contributed Papers
MetiTarski: An Automatic Prover for the Elementary Functions	p. 217
High-Level Theories	p. 232
Parametric Linear Arithmetic over Ordered Fields in Isabelle/HOL	p. 246
A Global Workspace Framework for Combining Reasoning Systems	p. 261
Effective Set Membership in Computer Algebra and Beyond	p. 266
Formalizing in Coq Hidden Algebras to Specify Symbolic Computation Systems	p. 270
Symbolic Computation Software Composability	p. 285
Using Coq to Prove Properties of the Cache Level of a Functional Video-on-Demand Server	p. 296
Automating Side Conditions in Formalized Partial Functions	p. 300
Combining Isabelle and QEPCAD-B in the Prover's Palette	p. 315
Contributions to MKM 2008
Invited Talks
Digital Mathematics Libraries: The Good, the Bad, the Ugly	p. 331
Automating Signature Evolution in Logical Theories	p. 333
Contributed Papers
A Tactic Language for Hiproofs	p. 339
Logic-Free Reasoning in Isabelle/Isar	p. 355
A Mathematical Type for Physical Variables	p. 370
Unit Knowledge Management	p. 382
Authoring Verified Documents by Interactive Proof Construction and Verification in Text-Editors	p. 398
Verification of Mathematical Formulae Based on a Combination of Context-Free Grammar and Tree Grammar	p. 415
Specifying Strategies for Exercises	p. 430
Mediated Access to Symbolic Computation Systems	p. 446
Herbrand Sequent Extraction	p. 462
Visual Mathematics: Diagrammatic Formalization and Proof	p. 478
Normalization Issues in Mathematical Representations	p. 494
Notations for Living Mathematical Documents	p. 504
Cross-Curriculum Search for Intergeo	p. 520
Augmenting Presentation MathML for Search	p. 536
Automated Classification and Categorization of Mathematical Knowledge	p. 543
Kantian Philosophy of Mathematics and Young Robots	p. 558
Transforming the arxiv to XML	p. 574
On Correctness of Mathematical Texts from a Logical and Practical Point of View	p. 583
Author Index	p. 599
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