| Abstract | .... 2 | |
| Contents | .... 2 | |
| 1 | Introduction | .... 3 |
| 2 | Standard Hybrid Interpretation of Logic Programs | .... 3 |
| 2.1 | Basic Hybrid Interpretation of Logic Programs | .... 3 |
| 2.2 | Modified Hybrid Interpretation of Logic Programs | .... 9 |
| 3 | Mode Analysis by Abstract Hybrid Interpretation | .... 13 |
| 3.1 | Mode Analysis | .... 13 |
| 3.2 | Abstract Hybrid Interpretation for Mode Analysis | .... 14 |
| 3.3 | An Example of Mode Analysis | .... 18 |
| 4 | Detection of Termination Based on Abstract Hybrid Interpretation | .... 20 |
| 4.1 | Termination of Prolog Programs | .... 20 |
| 4.2 | Abstract Hybrid Interpretation for Termination Detection | .... 23 |
| 4.3 | Example of Termination Detection | .... 25 |
| 5 | Detection of Universal Termination and Existential Termination | .... 28 |
| 5.1 | Universal Termination and Existential Termination | .... 28 |
| 5.2 | Detection of Universal Termination | .... 29 |
| 5.3 | Detection of Existential Termination | .... 30 |
| 6 | Discussion | .... 31 |
| 7 | Conclusion | .... 33 |
| Acknowledgements | .... 33 | |
| References | .... 33 | |
| End | .... 34 |
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