人工智能和符号计算/ Artificial intelligence and symbolic computation

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.

The LNAI series reports state-of-the-art results in artificial intelligence re-search, development, and education, at a high level and in both printed and electronic form. Enjoying tight cooperation with the R&D community, with numerous individuals, as well as with prestigious organizations and societies, LNAI has grown into the most comprehensive artificial intelligence research forum available.
The scope of LNAI spans the whole range of artificial intelligence and intelli- gent information processing including interdisciplinary topics in a variety of application fields. The type of material published traditionally includes.
proceedings (published in time for the respective conference)；
post-proceedings (consisting of thoroughly revised final full papers)；
research monographs (which may be based on PhD work).

Invited Presentations
Interactive Mathematical Documents
Algebra and Geometry Interaction Between "Equations" and "Shapes".
An Inductive Inference System and Its Rationality
Semantic Guidance for Saturation Provers
Contributed Papers
Artificial Intelligence and Theorem Proving
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
Symbolic Computation
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
Constraint Satisfaction/Solving
Solving Dynamic Geometric Constraints Involving Inequalities
Constraints for Continuous Reachability in the Verification of Hybrid Systems
Using Hajds' Construction to Generate Hard Graph 3-Colorability Instances
Finding Relations Among Linear Constraints
Mathematical Knowledge Management
A Search Engine for Mathematical Formulae
Hierarchical Representations with Signatures for Large Expression Management
Author Index