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

Be aware: the lists are still preliminary.

Derivational Complexity

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Method	2013	2012	2011	2010	2009
Arctic Interpretation	CaT	CaT	CaT	CaT, TcT	CaT, TcT
Match Bounds	CaT, TcT	CaT, TcT	CaT, TcT	CaT, TcT	CaT, TcT
Matrix Interpretation Triangular	---	---	TcT (N)	TcT (N)	CaT (N), Matchbox (N), TcT (N)
Matrix Interpretation Non-Triangular	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	CaT	CaT
Rewriting Right Hand Sides	---	---	---	---	TcT
Root Labeling	CaT	CaT	CaT	CaT	CaT, TcT
Weight Gap Principle	CaT, TcT	CaT, TcT	CaT, TcT	CaT, TcT	CaT

Runtime Complexity

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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	---