| Abstract | .... 2 | |
| 1 | Introduction | .... 2 |
| 2 | System Characteristics | .... 4 |
| 2.1 | Meta-level Inference | .... 4 |
| 2.2 | Inference Process and Degrees of Difficulty | .... 4 |
| 2.3 | Explanation Function | .... 4 |
| 2.4 | Use of Prolog | .... 5 |
| 3 | Algebraic Expression and Simplification Method | .... 5 |
| 3.1 | Canonical Form and Powerful Matching Function | .... 5 |
| 3.2 | Simplification of Algebraic Expressions | .... 7 |
| 4 | Methods of Control | .... 7 |
| 4.1 | Form Control of Equations | .... 8 |
| 4.2 | Form Control of Integration | .... 9 |
| 4.3 | Rules Control | .... 9 |
| 4.4 | Rewriting Rules for Equations | .... 11 |
| 4.5 | Rewriting Rules for Integration | .... 13 |
| 5 | Inference Method | .... 15 |
| 6 | Dtermining Degree of Difficulty | .... 15 |
| 7 | Examples | .... 16 |
| 8 | Conclusion | .... 20 |
| Acknowledgments | .... 20 | |
| References | .... 20 |
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