Complexity:Techniques
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An up to date version of the content of this page can now be found here: complexity competition.
This page is for listing all techniques applied by the participants of the complexity competitions.
Be aware: the lists are still preliminary.
Derivational Complexity
| Method | 2008 | 2009 |
|---|---|---|
| Arctic Interpretation | Tools:CaT | Tools:CaT, Tools:TCT |
| Match Bounds | Tools:CaT | Tools:CaT |
| Matrix Interpretation Triangular | Tools:CaT, Tools:TCT | Tools:CaT, Tools:Matchbox, Tools:TCT |
| Matrix Interpretation Non-Triangular | --- | Tools:Matchbox |
| Modular (Relative) Complexity Analysis | --- | Tools:CaT |
| Rewriting Right Hand Sides | Tools:CaT | Tools:TCT |
| Root Labeling | Tools:CaT | Tools:CaT, Tools:TCT |
Runtime Complexity
| Method | 2008 | 2009 | 2010 |
|---|---|---|---|
| Arctic Interpretation | --- | Tools:CaT, Tools:TCT | |
| Match Bounds | --- | Tools:CaT | |
| Matrix Interpretation Triangular | Tools:TCT | Tools:CaT, Tools:TCT | Tools:AProVE |
| Matrix Interpretation Non-Triangular | --- | --- | |
| Modular (Relative) Complexity Analysis | --- | Tools:CaT | |
| Polynomial Interpretations | --- | --- | Tools:AProVE |
| Polynomial Path Orders | Tools:TCT | Tools:TCT | |
| Rewriting Right Hand Sides | --- | --- | |
| Root Labeling | --- | Tools:CaT, Tools:TCT | |
| Weak Dependency Pairs | Tools:TCT | Tools:TCT | |
| Dependency Tuples | Tools:AProVE |
