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	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

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Method	2019	2018	2017	2016	2015
Arctic Interpretation
Match Bounds
Matrix Interpretation Triangular
Matrix Interpretation Non-Triangular
Modular (Relative) Complexity Analysis
Polynomial Interpretations
Polynomial Path Orders
Rewriting Right Hand Sides
Root Labeling
Weak Dependency Pairs
Dependency Tuples
Path Analysis
Weight Gap Principle
DG Decomposition