| Abstract | .... 2 | |
| Contents | .... 2 | |
| 1 | Introduction | .... 3 |
| 2 | Meta-Unification for Conditional Equational Theories | .... 4 |
| 2.1 | Conditional Equational Theories | .... 4 |
| 2.2 | Meta-unification | .... 5 |
| 2.3 | Consistency and Completeness | .... 8 |
| 3 | Syntax of Talos | .... 12 |
| 3.1 | Definition of Data Type | .... 12 |
| 3.2 | Definition of Functions | .... 13 |
| 3.3 | Query | .... 13 |
| 4 | Meta-Unification for Conditional Equational Theorises with Constructors | .... 13 |
| 4.1 | Conditional Equational Theorises with Constructors | .... 14 |
| 4.2 | Meta-Unification with Constructors | .... 14 |
| 4.3 | Consistency and Ground Completeness | .... 16 |
| 5 | Semantics of Talos | .... 17 |
| 5.1 | Operational Semantics | .... 17 |
| 5.2 | Model Theoretic Semantics | .... 19 |
| 5.3 | Equivalence of Two Semantics | .... 20 |
| 6 | Discussions | .... 20 |
| 7 | Conclusion | .... 21 |
| Acknowledgements | .... 21 | |
| References | .... 21 | |
| End | .... 22 |
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