| Abstract | .... 2 | |
| 1 | Introduction | .... 4 |
| 2 | Prolog and Gurded Horn Clauses(GHC) | .... 5 |
| 3 | Propositional Temporal Logic(PTL) | .... 7 |
| 4 | ω-Graphs Refutation Procedure in Prolog | .... 10 |
| 5 | Programming of ω-Graphs Refutasion Procedure in GHC | .... 28 |
| 6 | Parallel Programming Methodlogy in GHC | .... 41 |
| 7 | Concluding Remarks | .... 60 |
| Acknowledgements | .... 60 | |
| References | .... 61 | |
| Appendix | .... 62 | |
| End | .... 67 |
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