| Abstract | .... 2 | |
| 1 | Introduction | .... 3 |
| 2 | Need,significance and design Philosophy | .... 4 |
| 3 | An overview of EUODHILOS | .... 5 |
| 3.1 | Functional features | .... 5 |
| 3.2 | Implementation | .... 12 |
| 4 | Experiments and experiences with EUODHILOS | .... 12 |
| 4.1 | Martin-Lof's intuitionistic type theory and a constructive proof | .... 13 |
| 4.2 | Hoare logic and program verification | .... 15 |
| 4.3 | Dynamic logic and reasoning about programs | .... 17 |
| 4.4 | Intensional logic,reflective proof and Montague's semantics | .... 19 |
| 4.5 | First-order logic(with NK) | .... 22 |
| 4.6 | Second-order logic and a simple equivalece proof | .... 23 |
| 4.7 | Propositional model logic (T)and modal resoning about programs | .... 23 |
| 4.8 | General logics | .... 23 |
| 5 | Related work | .... 24 |
| 6 | Concluding remarks and further research topics | .... 25 |
| Acknowledgements | .... 27 | |
| References | .... 28 | |
| Appendix1 | .... 31 | |
| Appendix2 | .... 31 | |
| Appendix3 | .... 32 | |
| Appendix4 | .... 32 | |
| Appendix5 | .... 33 | |
| Appendix6 | .... 33 |
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