| Summary | .... 2 | |
| 1 | Introduction | .... 2 |
| 2 | Need,Signficance and Design Philosophy | .... 4 |
| 3 | Overview of EUODHILOS | .... 5 |
| 3.1 | Functional Features | .... 5 |
| 3.2 | Implementation | .... 11 |
| 4 | Experiments and Experiences with EUODHILOS | .... 12 |
| 4.1 | Martin-Lof's intutionistic type theory | .... 12 |
| 4.2 | Hoare logic for Program verification | .... 16 |
| 4.3 | First-Order logic with NK | .... 19 |
| 4.4 | Propositial modal logic (T) | .... 20 |
| 4.5 | Intensional logic and reflective proof | .... 20 |
| 5 | Related Works | .... 20 |
| 6 | Concluding Remarks and Future Research Directions | .... 21 |
| Acknowledgements | .... 23 | |
| References | .... 23 | |
| End | .... 25 |
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