Difference between revisions of "Complexity Techniques"

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This page is for listing all techniques applied by the participants of the complexity competitions.
 
This page is for listing all techniques applied by the participants of the complexity competitions.
  
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== Derivational Complexity ==
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{| class="wikitable" border="1"
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|-
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=== 2009 ===
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!  Method
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!  2008
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==== CaT (Winner of 2009) ====
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!  2009
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|-
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* Triangular Matrix Interpretations
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|  Matrix Interpretation Non-Triangular
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* Arctic Interpretations
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|  ---
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* Rewriting Right Hand Sides
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|  [[Tools:Matchbox]]
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* Root Labeling
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|-
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* Match Bounds
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|  Matrix Interpretation Triangular
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* Modular Complexity Analysis (dc(R)=dc(R1/R2)+dc(R2/R1))
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|  [[Tools:CaT]], [[Tools:TCT]]
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|  [[Tools:CaT]], [[Tools:Matchbox]], [[Tools:TCT]]
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==== Matchbox ====
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|-
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|  Arctic Interpretation
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* Triangular Matrix Interpretations
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|  [[Tools:CaT]]
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* Non-Triangular Matrix Interpretations
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|  [[Tools:CaT]], [[Tools:TCT]]
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|-
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==== TCT ====
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|  Root Labeling
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|  [[Tools:CaT]]
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* Triangular Matrix Interpretations
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|  [[Tools:CaT]], [[Tools:TCT]]
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* Arctic Interpretations
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|-
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* Rewriting Right Hand Sides
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|  Rewriting Right Hand Sides
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* Root Labeling
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|  [[Tools:CaT]]
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|  [[Tools:CaT]], [[Tools:TCT]]
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=== 2008 ===
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|-
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|  Modular (Relative) Complexity Analysis
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==== CaT (Winner of 2008) ====
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|  ---
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|  [[Tools:CaT]]
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* Triangular Matrix Interpretations
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|-
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* Arctic Interpretations
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|  Match Bounds
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* Rewriting Right Hand Sides
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|  [[Tools:CaT]]
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* Root Labeling
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|  [[Tools:CaT]]
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* Match Bounds
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|}
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==== TCT ====
 
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* Triangular Matrix Interpretations
 
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* Root Labeling
 
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* Match Bounds
 
  
 
== Runtime Complexity ==
 
== Runtime Complexity ==

Revision as of 07:50, 27 March 2010

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

Method 2008 2009
Matrix Interpretation Non-Triangular --- Tools:Matchbox
Matrix Interpretation Triangular Tools:CaT, Tools:TCT Tools:CaT, Tools:Matchbox, Tools:TCT
Arctic Interpretation Tools:CaT Tools:CaT, Tools:TCT
Root Labeling Tools:CaT Tools:CaT, Tools:TCT
Rewriting Right Hand Sides Tools:CaT Tools:CaT, Tools:TCT
Modular (Relative) Complexity Analysis --- Tools:CaT
Match Bounds Tools:CaT Tools:CaT

Runtime Complexity

2009

TBA

2008

TBA