| Abstract | .... 2 | |
| 1 | Introduction | .... 2 |
| 2 | Model Generation | .... 4 |
| 3 | KL1 Based Model Generation Theorem Prover | .... 5 |
| 3.1 | Variables and Unification | .... 5 |
| 3.2 | Ground Model | .... 5 |
| 3.3 | The Interpreter | .... 6 |
| 3.4 | Performance Comparison for Ground Model | .... 7 |
| 4 | Extension of MGTP | .... 7 |
| 4.1 | Nonground Model | .... 7 |
| 4.2 | Variables and Unification Revisited | .... 9 |
| 4.3 | Avoiding Redundancy | .... 10 |
| 4.4 | Heuristics | .... 10 |
| 4.5 | Performance Comparison for Nonground Model | .... 12 |
| 5 | Program Synthesis by Parallel Prover | .... 12 |
| 5.1 | Framework of Program Synthesis | .... 12 |
| 5.2 | The problem and the Solutions | .... 13 |
| 5.3 | Sort problem | .... 14 |
| 5.4 | Program Extraction | .... 16 |
| 6 | Conclusion | .... 19 |
| Acknowledgement | .... 20 | |
| References | .... 20 |
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