Theoretical Computer Science

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

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Method 20142013201220112010
Arctic InterpretationCaTCaTCaTCaTCaT, TcT
Match BoundsCaT, TcTCaT, TcTCaT, TcTCaT, TcTCaT, 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 AnalysisCaT, TcTCaT, TcTCaT, TcTCaTCaT
Rewriting Right Hand Sides---------------
Root LabelingCaTCaTCaTCaTCaT
Weight Gap PrincipleCaT, TcTCaT, TcTCaT, TcTCaT, TcTCaT, TcT

Runtime Complexity

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Method 20092008
Arctic InterpretationCaT, TcT---
Match BoundsCaT, TcTTcT
Matrix Interpretation TriangularCaT (N), TcT (N)TcT (N)
Matrix Interpretation Non-Triangular ------
Modular (Relative) Complexity AnalysisCaT---
Polynomial Interpretations------
Polynomial Path OrdersTcTTcT
Rewriting Right Hand Sides------
Root LabelingCaT, TcT---
Weak Dependency PairsTcTTcT
Dependency Tuples------
Path AnalysisTcTTcT
Weight Gap PrincipleTcTTcT
DG Decomposition------