| Abstract | .... 2 | |
| 1 | Introduction | .... 3 |
| 2 | Problem Definition | .... 4 |
| 3 | ATMS | .... 5 |
| 4 | Hypothtical Reasoning with ATMS and MGTP | .... 6 |
| 5 | Upside-Down Meta-Interpretation | .... 8 |
| 5.1 | Simple Transformation Algorithm | .... 8 |
| 5.2 | Transformation Algorithm with Pre-Depedecy-Analysis | .... 10 |
| 6 | Evaluation with a Logic Design Problem | .... 13 |
| 7 | Related Work | .... 14 |
| 8 | Conclusion | .... 15 |
| Acknowledegments | .... 16 | |
| References | .... 16 | |
| End | .... 17 |
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