Automated Reasoning

The research frontiers of Automated Reasoning are explored and extended in this book. The range is wide, spanning Geometric Reasoning, Nonmonotonic Reasoning, Uncertain Reasoning, Pansystems Theory, Parallel Reasoning, Temporal Reasoning, Qualitative Reasoning, Analogical Reasoning, Constraint Reasoning, Search and Neurocomputing. Contributions, combining practice and theory, have been sourced from specialists in the fields of Artificial Intelligence, Logic and Mathematics and the book should be of significant interest to researchers, developers and students involved in disciplines across these fields.

Table of Contents:
Geometric Reasoning. Automated Reasoning in Differential Geometry and Mechanics Using Characteristic Method (S.-C. Chou, X.-S. Gao). An Introduction to Wu's Method of Mechanical Geometry Theorem Proving (X.-S. Gao). Implementing Graph Algorithms in BeTa-Prolog (N.-F. Zhou, I. Nagasawa). Non-monotonic Reasoning. Towards a Theory of Epistemic Processes (W. Li). Overview of Non-monotonic Deduction Systems (S. Akama, H. Ohnishi). Default Reasoning in Constraint Network (L. Liao, Z. Shi). Experiential Logic (Z. Lin). Reasoning by Argueing: A Game-Theoretic Approach (B. Shuo). Uncertain Reasoning. Fuzzy Boolean Algebras (B. Šešelja, A. Tepavčević). Syntax Analysis of Fuzzy Logic System FL1 and its Derivations DFL1, MFL1 (C. Zili, C. Qingwen, X. Yuncong, Z. Jinwen). Uncertainty Measures of Separable Fuzzy Temporal Propositions (J. Šajda). NLPM: An Approach for Non-monotonic Reasoning Based on Linguistic Probability (Z. Shi, X. Luo). A Study of Probability-Based Uncertain Reasoning Models in Rule-Based Expert Systems: Prospector-Type Schemes (X. Luo). Logic and Proving. A Verification of Extensible Record Types (A.V. Hense, G. Smolka). A Theory of Automatic Logic Programming Based on Second Order Term Rewriting Technique (H. Sun, Q. Lian). The Directed Inference and its Role in NDSAIL Sytem (Z. Fei, J. Xu). Pansystems Theory. Pansystems Philosophical Logic: A Survey (W. Xuemou, G. Dinghe, L. Ming, Z. Tingquan, L. Yongli, Z. Yuxiang). Pansystems Inference Model and its Applications (S. Wang, J. Zou). Pansystems Analysis Forecasting Theory and Radar Auto-Prediction (M. Wang, Z. Gao). Search & Parallel Reasoning Search. QuickGame: A Compromise Between Pure Depth-First and Pure Best-First Game Tree Search Strategies (S. Bhattacharya, A. Bagchi). Lazy Model Generation for Improving the Efficiency of Forward Reasoning Theorem Provers (R. Hasegawa, M. Koshimura, H. Fujita). Temporal & Qualitative Reasoning. Theory and Practice for XYZ/VERI System (H. Pei, L. Renwei, Z. Wenhui). Temporal Reasoning about Real Time Reactive Systems (J. Wang, H. Chen). A General Framework of Qualitative Kinematics (Y. Wu, J. Wang). Analogical Reasoning. Analogical Reasoning for LK Theorem Proving (M. Harao). Case Retrieval Based on Memory Network (B. Li, Z. Shi). An Approach to Analogical Theorem Proving (J. Lu, B. Yi). Constraint Reasoning. A Constraint Satisfaction Algorithm Using Solution Trees and its Complexity (J.-H. Li, S. Nishihara). Parallel Inference on Logical Networks (V.N. Vagin). Reasoning about Actions with Bidirectional Approach BI-STRIPS (L.-d. Shan, T. Nagata). Neurocomputing. Logical Reasoning in Symbolic Neural Networks (A. de Callataÿ). Automated Reasoning on Prime Weighted Neuron Network (Q. Shen, Q.-Y. Wu).