| Abstract | .... 2 | |
| 1 | Preliminaries | .... 2 |
| 1.1 | Ordered Sets | .... 2 |
| 1.2 | Term Rewriting Systems | .... 3 |
| 2 | TRS Equilvalence | .... 5 |
| 3 | Knuth-Bendix Algorithm | .... 6 |
| 4 | Well-founded Orders on Z | .... 8 |
| 5 | Lexicographic Subterm Ordering | .... 9 |
| 6 | Applications | .... 11 |
| Acknowledgements | .... 15 | |
| References | .... 15 |
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