Techniques
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 | 2011 | 2010 | 2009 | 2008 | |
---|---|---|---|---|---|
Arctic Interpretation | CaT | CaT, TcT | CaT, TcT | CaT, TcT | |
Match Bounds | CaT, TcT | CaT, TcT | CaT, TcT | CaT, TcT | |
Matrix Interpretation Triangular | TcT (N) | TcT (N) | CaT (N), Matchbox (N), TcT (N) | TcT (N) | |
Matrix Interpretation Non-Triangular | CaT (N,R,Q), Matchbox (N) | CaT (N,R,Q), Matchbox (N) | --- | --- | |
Modular (Relative) Complexity Analysis | CaT | CaT | CaT | --- | |
Rewriting Right Hand Sides | --- | --- | TcT | CaT | |
Root Labeling | CaT | CaT | CaT, TcT | CaT | |
Weight Gap Principle | CaT, TcT | CaT, TcT | CaT | --- |
Runtime Complexity
Method | 2009 | 2008 | |||
---|---|---|---|---|---|
Arctic Interpretation | CaT, TcT | --- | |||
Match Bounds | CaT, TcT | TcT | |||
Matrix Interpretation Triangular | CaT (N), TcT (N) | TcT (N) | |||
Matrix Interpretation Non-Triangular | --- | --- | |||
Modular (Relative) Complexity Analysis | CaT | --- | |||
Polynomial Interpretations | --- | --- | |||
Polynomial Path Orders | TcT | TcT | |||
Rewriting Right Hand Sides | --- | --- | |||
Root Labeling | CaT, TcT | --- | |||
Weak Dependency Pairs | TcT | TcT | |||
Dependency Tuples | --- | --- | |||
Path Analysis | TcT | TcT | |||
Weight Gap Principle | TcT | TcT | |||
DG Decomposition | --- | --- |