This page is for listing all techniques applied by the participants of the complexity competitions.

Be aware: the lists are still preliminary.

Derivational Complexity

next year or prev year

Method	2009	2008
Arctic Interpretation	CaT, TcT	CaT, TcT
Match Bounds	CaT, TcT	CaT, TcT
Matrix Interpretation Triangular	CaT (N), Matchbox (N), TcT (N)	TcT (N)
Matrix Interpretation Non-Triangular	---	---
Modular (Relative) Complexity Analysis	CaT	---
Rewriting Right Hand Sides	TcT	CaT
Root Labeling	CaT, TcT	CaT
Weight Gap Principle	CaT	---

Runtime Complexity

next year or prev year

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	---