| Abstract | .... 3 | |
| 1 | Introduction | .... 4 |
| 2 | Λ-calculus and Machine Models | .... 5 |
| 3 | Combinatory System and Machine Models | .... 10 |
| 4 | Σ-labelled Tree and Labelled Reducers | .... 11 |
| 5 | Initial Comparison of λ-reducers and Closure Reducers | .... 14 |
| 6 | Elaboration of λ-reducers | .... 18 |
| 7 | Examples of Comparisons | .... 20 |
| 8 | Towards a More Efficient Reducer | .... 23 |
| 9 | Conclusion | .... 25 |
| References | .... 27 | |
| Figures | .... 28 | |
| End | .... 47 |
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