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.
  
== Derivational Complexity ==
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{| class="wikitable" border="1"
 
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|-
=== 2009 ===
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!  Method
 
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!  2008
==== CaT (Winner of 2009) ====
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2009
 
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|-
* Triangular Matrix Interpretations
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|  Matrix Interpretation Non-Triangular
* Arctic Interpretations
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|  ---
* Rewriting Right Hand Sides
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|  [[Tools:Matchbox]]
* Root Labeling
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|-
* Match Bounds
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Matrix Interpretation Triangular
* 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]]
==== Matchbox ====
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|-
 
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|  Arctic Interpretation
* Triangular Matrix Interpretations
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|  [[Tools:CaT]]
* Non-Triangular Matrix Interpretations
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|  [[Tools:CaT]], [[Tools:TCT]]
 
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|-
==== TCT ====
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Root Labeling
 
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|  [[Tools:CaT]]
* Triangular Matrix Interpretations
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|  [[Tools:CaT]], [[Tools:TCT]]
* Arctic Interpretations
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|-
* Rewriting Right Hand Sides
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Rewriting Right Hand Sides
* Root Labeling
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|  [[Tools:CaT]]
 
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|  [[Tools:CaT]], [[Tools:TCT]]
=== 2008 ===
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|-
 
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|  Modular (Relative) Complexity Analysis
==== CaT (Winner of 2008) ====
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|  ---
 
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|  [[Tools:CaT]]
* Triangular Matrix Interpretations
+
|-
* Arctic Interpretations
+
Match Bounds
* Rewriting Right Hand Sides
+
|  [[Tools:CaT]]
* Root Labeling
+
|  [[Tools:CaT]]
* Match Bounds
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|}
 
 
==== TCT ====
 
 
 
* Triangular Matrix Interpretations
 
* Root Labeling
 
* 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