Artificial Intelligence And Symbolic Computation: 8th International Conference, Aisc 2006, Beijing, China, September 20-22, 2006, Proceedings (lecture Notes In Computer Science)

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. Front Matter....Pages - Interactive Mathematical Documents....Pages 1-1 Algebra and Geometry....Pages 2-2 An Inductive Inference System and Its Rationality....Pages 3-17 Semantic Guidance for Saturation Provers....Pages 18-24 Labeled @-Calculus: Formalism for Time-Concerned Human Factors....Pages 25-39 Enhanced Theorem Reuse by Partial Theory Inclusions....Pages 40-52 Extension of First-Order Theories into Trees....Pages 53-67 The Confluence Problem for Flat TRSs....Pages 68-81 Some Properties of Triangular Sets and Improvement Upon Algorithm CharSer....Pages 82-93 A New Definition for Passivity and Its Relation to Coherence....Pages 94-105 A Full System of Invariants for Third-Order Linear Partial Differential Operators....Pages 106-115 An Algorithm for Computing the Complete Root Classification of a Parametric Polynomial....Pages 116-130 Quantifier Elimination for Quartics....Pages 131-145 On the Mixed Cayley-Sylvester Resultant Matrix....Pages 146-159 Implicitization of Rational Curves....Pages 160-169 Operator Calculus Approach to Solving Analytic Systems....Pages 170-180 Solving Dynamic Geometric Constraints Involving Inequalities....Pages 181-195 Constraints for Continuous Reachability in the Verification of Hybrid Systems....Pages 196-210 Using Hajós’ Construction to Generate Hard Graph 3-Colorability Instances....Pages 211-225 Finding Relations Among Linear Constraints....Pages 226-240 A Search Engine for Mathematical Formulae....Pages 241-253 Hierarchical Representations with Signatures for Large Expression Management....Pages 254-268 Back Matter....Pages - This book constitutes the refereed proceedings of the 12th International Conference on Artificial Intelligence and Symbolic Computation, AISC 2014, held in Seville, Spain, in December 2014. The 15 full papers presented together with 2 invited papers were carefully reviewed and selected from 22 submissions. The goals were on one side to bind mathematical domains such as algebraic topology or algebraic geometry to AI but also to link AI to domains outside pure algorithmic computing. The papers address all current aspects in the area of symbolic computing and AI: basic concepts of computability and new Turing machines; logics including non-classical ones; reasoning; learning; decision support systems; and machine intelligence and epistemology and philosophy of symbolic mathematical computing. Here are the refereed proceedings of the 8th International Conference on Artificial Intelligence and Symbolic Computation, AISC 2006. The book presents 18 revised full papers together with 4 invited papers, organized in topical sections on artificial intelligence and theorem proving, symbolic computation, constraint satisfaction/solving, and mathematical knowledge management. Coverage includes mathematical foundations, implementations, and applications in industry and academia.