Invited Presentations -- Interactive Mathematical Documents -- Algebra and Geometry -- An Inductive Inference System and Its Rationality -- Semantic Guidance for Saturation Provers -- Contributed Papers -- Labeled @-Calculus: Formalism for Time-Concerned Human Factors -- Enhanced Theorem Reuse by Partial Theory Inclusions -- Extension of First-Order Theories into Trees -- The Confluence Problem for Flat TRSs -- Some Properties of Triangular Sets and Improvement Upon Algorithm CharSer -- A New Definition for Passivity and Its Relation to Coherence -- A Full System of Invariants for Third-Order Linear Partial Differential Operators -- An Algorithm for Computing the Complete Root Classification of a Parametric Polynomial -- Quantifier Elimination for Quartics -- On the Mixed Cayley-Sylvester Resultant Matrix -- Implicitization of Rational Curves -- Operator Calculus Approach to Solving Analytic Systems -- Solving Dynamic Geometric Constraints Involving Inequalities -- Constraints for Continuous Reachability in the Verification of Hybrid Systems -- Using Hajós’ Construction to Generate Hard Graph 3-Colorability Instances -- Finding Relations Among Linear Constraints -- A Search Engine for Mathematical Formulae -- Hierarchical Representations with Signatures for Large Expression Management.

This book constitutes the refereed proceedings of the 8th International Conference on Artificial Intelligence and Symbolic Computation, AISC 2006, held in Beijing, China in September 2006. The 18 revised full papers presented together with 4 invited papers were carefully reviewed and selected from 39 submissions. Based on heuristics and mathematical algorithmics, artificial intelligence and symbolic computation are two views and approaches for automating (mathematical) problem solving. The papers address all current aspects in the area of symbolic computing and AI: mathematical foundations, implementations, and applications in industry and academia. The papers are organized in topical sections on artificial intelligence and theorem proving, symbolic computation, constraint satisfaction/solving, and mathematical knowledge management.