| Abstract | .... 3 | |
| 1 | Introduction | .... 3 |
| 2 | Class of the Multi-agent System based on Fool Reasoner | .... 6 |
| 3 | Model Theory about X;X-Kripke Possible World Structure | .... 11 |
| 4 | X' Completeness | .... 14 |
| 5 | Traditional Multi-agent Knowledge Logic System S5,S4,KD4, | .... 18 |
| 6 | Relationship between Class X and Class Y | .... 20 |
| 7 | Conclusion | .... 22 |
| Acknowledgements | .... 23 | |
| References | .... 23 | |
| End | .... 25 |
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