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 20132012201120102009
Arctic InterpretationCaTCaTCaTCaT, TcTCaT, TcT
Match BoundsCaT, TcTCaT, TcTCaT, TcTCaT, TcTCaT, 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 AnalysisCaT, TcTCaT, TcTCaTCaTCaT
Rewriting Right Hand Sides------------TcT
Root LabelingCaTCaTCaTCaTCaT, TcT
Weight Gap PrincipleCaT, TcTCaT, TcTCaT, TcTCaT, TcTCaT

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------