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 | 2014 | 2013 | 2012 | 2011 | 2010 |
---|---|---|---|---|---|
Arctic Interpretation | CaT | CaT | CaT | CaT | CaT, TcT |
Match Bounds | CaT, TcT | CaT, TcT | CaT, TcT | CaT, TcT | CaT, TcT |
Matrix Interpretation Triangular | --- | --- | --- | TcT (N) | TcT (N) |
Matrix Interpretation Non-Triangular | CaT (N,R,Q), TcT (N) | CaT (N,R,Q), TcT (N) | CaT (N,R,Q), TcT (N) | CaT (N,R,Q), Matchbox (N) | CaT (N,R,Q), Matchbox (N) |
Modular (Relative) Complexity Analysis | CaT, TcT | CaT, TcT | CaT, TcT | CaT | CaT |
Rewriting Right Hand Sides | --- | --- | --- | --- | --- |
Root Labeling | CaT | CaT | CaT | CaT | CaT |
Weight Gap Principle | CaT, TcT | CaT, TcT | CaT, TcT | CaT, TcT | CaT, TcT |
Runtime Complexity
Method | 2008 | ||||
---|---|---|---|---|---|
Arctic Interpretation | --- | ||||
Match Bounds | TcT | ||||
Matrix Interpretation Triangular | TcT (N) | ||||
Matrix Interpretation Non-Triangular | --- | ||||
Modular (Relative) Complexity Analysis | --- | ||||
Polynomial Interpretations | --- | ||||
Polynomial Path Orders | TcT | ||||
Rewriting Right Hand Sides | --- | ||||
Root Labeling | --- | ||||
Weak Dependency Pairs | TcT | ||||
Dependency Tuples | --- | ||||
Path Analysis | TcT | ||||
Weight Gap Principle | TcT | ||||
DG Decomposition | --- |