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 2008
Arctic Interpretation---
Match BoundsTcT
Matrix Interpretation TriangularTcT (N)
Matrix Interpretation Non-Triangular ---
Modular (Relative) Complexity Analysis---
Polynomial Interpretations---
Polynomial Path OrdersTcT
Rewriting Right Hand Sides---
Root Labeling---
Weak Dependency PairsTcT
Dependency Tuples---
Path AnalysisTcT
Weight Gap PrincipleTcT
DG Decomposition---