| Abstract | .... 2 | |
| 1 | Introduction | .... 2 |
| 2 | LJ-to-Transformation | .... 2 |
| 2.1 | The Basic Idea | .... 3 |
| 2.2 | Definition of w | .... 3 |
| 2.3 | Some Comments on w | .... 5 |
| 3 | LK-to-NK Transfomation | .... 5 |
| 3.1 | The Basic Idea | .... 5 |
| 3.2 | Definition of x | .... 7 |
| 3.3 | An extra transformation | .... 13 |
| 3.4 | A Modification ofx;x' | .... 14 |
| 3.5 | Alternatives for x | .... 14 |
| 4 | Some Examples of w and x | .... 16 |
| 4.1 | -> A A | .... 16 |
| 4.2 | A B->A B | .... 17 |
| 5 | Cut-Free Proof and Normal Proof | .... 17 |
| 6 | Conclusion | .... 19 |
| Acknowledgements | .... 19 | |
| References | .... 19 | |
| A Several Concept | .... 20 | |
| End | .... 21 |
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