Difference between revisions of "Complexity Techniques"
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This page is for listing all techniques applied by the participants of the complexity competitions. | This page is for listing all techniques applied by the participants of the complexity competitions. | ||
| + | |||
| + | |||
| + | '''Be aware:''' the lists are still preliminary. | ||
| + | |||
| + | == Derivational Complexity == | ||
{| class="wikitable" border="1" | {| class="wikitable" border="1" | ||
| Line 6: | Line 11: | ||
! 2008 | ! 2008 | ||
! 2009 | ! 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 | | Matrix Interpretation Non-Triangular | ||
| Line 11: | Line 28: | ||
| [[Tools:Matchbox]] | | [[Tools:Matchbox]] | ||
|- | |- | ||
| − | | | + | | Modular (Relative) Complexity Analysis |
| + | | --- | ||
| + | | [[Tools:CaT]] | ||
| + | |- | ||
| + | | Rewriting Right Hand Sides | ||
| + | | [[Tools:CaT]] | ||
| [[Tools:CaT]], [[Tools:TCT]] | | [[Tools:CaT]], [[Tools:TCT]] | ||
| − | |||
|- | |- | ||
| − | | | + | | Root Labeling |
| [[Tools:CaT]] | | [[Tools:CaT]] | ||
| [[Tools:CaT]], [[Tools:TCT]] | | [[Tools:CaT]], [[Tools:TCT]] | ||
| + | |} | ||
| + | |||
| + | |||
| + | == Runtime Complexity == | ||
| + | |||
| + | {| class="wikitable" border="1" | ||
|- | |- | ||
| − | | | + | ! Method |
| + | ! 2008 | ||
| + | ! 2009 | ||
| + | |- | ||
| + | | Arctic Interpretation | ||
| [[Tools:CaT]] | | [[Tools:CaT]] | ||
| [[Tools:CaT]], [[Tools:TCT]] | | [[Tools:CaT]], [[Tools:TCT]] | ||
|- | |- | ||
| − | | | + | | Match Bounds |
| + | | [[Tools:CaT]] | ||
| [[Tools:CaT]] | | [[Tools:CaT]] | ||
| + | |- | ||
| + | | Matrix Interpretation Triangular | ||
| [[Tools:CaT]], [[Tools:TCT]] | | [[Tools:CaT]], [[Tools:TCT]] | ||
| + | | [[Tools:CaT]], [[Tools:TCT]] | ||
| + | |- | ||
| + | | Matrix Interpretation Non-Triangular | ||
| + | | --- | ||
| + | | --- | ||
|- | |- | ||
| Modular (Relative) Complexity Analysis | | Modular (Relative) Complexity Analysis | ||
| Line 31: | Line 70: | ||
| [[Tools:CaT]] | | [[Tools:CaT]] | ||
|- | |- | ||
| − | | | + | | Polynomial Path Orders |
| + | | [[Tools:TCT]] | ||
| + | | [[Tools:TCT]] | ||
| + | |- | ||
| + | | Rewriting Right Hand Sides | ||
| + | | [[Tools:CaT]] | ||
| [[Tools:CaT]] | | [[Tools:CaT]] | ||
| + | |- | ||
| + | | Root Labeling | ||
| [[Tools:CaT]] | | [[Tools:CaT]] | ||
| + | | [[Tools:CaT]], [[Tools:TCT]] | ||
| + | |- | ||
| + | | Weak Dependency Pairs | ||
| + | | [[Tools:TCT]] | ||
| + | | [[Tools:TCT]] | ||
|} | |} | ||
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Revision as of 08:08, 27 March 2010
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:CaT, Tools:TCT |
| Root Labeling | Tools:CaT | Tools:CaT, Tools:TCT |
Runtime 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:TCT |
| Matrix Interpretation Non-Triangular | --- | --- |
| Modular (Relative) Complexity Analysis | --- | Tools:CaT |
| Polynomial Path Orders | Tools:TCT | Tools:TCT |
| Rewriting Right Hand Sides | Tools:CaT | Tools:CaT |
| Root Labeling | Tools:CaT | Tools:CaT, Tools:TCT |
| Weak Dependency Pairs | Tools:TCT | Tools:TCT |
