| Abstract | .... 2 | |
| 1 | Introduction | .... 2 |
| 2 | Definition of Quasigroup(QG) Problems | .... 3 |
| 2.1 | Quasigroup | .... 3 |
| 2.2 | Inverse Operations | .... 4 |
| 2.3 | QG Problems | .... 4 |
| 3 | CP | .... 5 |
| 3.1 | Approaches using CLP languages | .... 5 |
| 3.2 | Variable Maintenance in CP | .... 6 |
| 3.3 | Problem Description in CP | .... 8 |
| 3.4 | Experimental Results on CP | .... 8 |
| 4 | CMGTP | .... 10 |
| 4.1 | Key Features of CMGTP | .... 10 |
| 4.2 | The Algorithm of CMGTP | .... 11 |
| 4.3 | CMGTP Rules for QG5.5 | .... 13 |
| 4.4 | Experimental Results on CMGTP | .... 14 |
| 5 | Disccusion | .... 15 |
| 6 | Summary and Future Work | .... 15 |
| References | .... 16 |
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