| 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 | .... 8 |
| 3 | Mode Analysis by Abstract Hybrid Interpretation | .... 12 |
| 3.1 | Mode Analysis | .... 13 |
| 3.2 | Abstract Hybrid Interpretation for Mode Analysis | .... 14 |
| 3.3 | Examples of Mode Analysis | .... 18 |
| 4 | Functionality Detection Based on Mode Analysis | .... 21 |
| 4.1 | Overstimating Solution Numbers | .... 21 |
| 4.2 | Abstract Hybrid Interpretation for Functionality Detection | .... 28 |
| 4.3 | Examples of Functionality Detection | .... 29 |
| 5 | Disucussion | .... 33 |
| 6 | Conclusion | .... 34 |
| Acknowledgements | .... 34 | |
| References | .... 34 | |
| End | .... 35 |
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