| Abstract | .... 2 | |
| 1 | Introduction | .... 3 |
| 2 | Deductive Database and Equivalent Transformations | .... 4 |
| 3 | Horn Clause Transformation by Restrictor(HCT/R) | .... 7 |
| 4 | Horn Clause Transformation by Partial Restrictor | .... 13 |
| 5 | Optimal HOT/R | .... 15 |
| 6 | Relationship with Magic Sets | .... 20 |
| 7 | Conclusions | .... 22 |
| Acknowledgements | .... 23 | |
| References | .... 23 | |
| Appendix 1 Proof of proposition 3.2 | .... 24 | |
| Appendix 2 An example of BPA | .... 25 | |
| Appendix 3 An example where BPA fails to obtain smaller model | .... 26 | |
| End | .... 27 |
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