CS League Analysis

Final match day group qualification phase, CS League 2007/2008, will be show on Saturday (5/4-08). Let’s analyze the change of our favorite team, Ganteng FC, pass to the next phase.

Gruop B
Rank	Team	Main	Pts
1	3309	10	25
2	Airborne	10	18
3	GJTG FC	9	18
4	Ganteng FC	9	17
5	Morinho FC	9	17
6	Kentucky FC	9	15
7	The Never Fading	9	12
8	if and only if;	9	12
9	Kong2	9	9
10	The Backyardigans	9	0
11	kuda ngangkang	10	0

Source: http://scele.cs.ui.ac.id/s1

There’re four matches in this Saturday. However, only two crucial matches that change the big four of the final table. There are Ganteng FC vs The Never Fading and Morinho vs Kentucky. We assumed that GJTG wins against The Backyardigans. 3309 and GJTG automatically pass. Two tickets will be Airbone, Ganteng, Morinho, or Kentucky.

If there’re same points, head to head then goal system will approach. That’s ‘devil circle’ here. On head to head, Airbone wins against Ganteng – Ganteng wins against Kentucky – Kentucky and Morinho win against Airbone. In goal system, Ganteng wins against Morinho. Let’s we see all case that probably happen.

For simply and unambigous, I use predicate logic

• Win(x): x win
• Draw(x): x draw
• Lose(x): x loses
• Pass(x): x pass to the phase

All the interpretations are:

• Win(Ganteng) ^ { Win(Morinho) V Draw(Morinho) } ==> Pass (Ganteng) ^ Pass (Morinho)
• Win(Ganteng) ^ Lose(Morinho) ==> Pass (Ganteng) ^ Pass (Kentucky)
• Draw(Ganteng)^ { Win(Morinho) V Draw(Morinho) } ==> Pass (Airbone) ^ Pass (Morinho)
• Draw(Ganteng)^ Lose(Morinho) ==> Pass (Ganteng) ^ Pass (Kentucky)
• Lose(Ganteng) ^ { Win(Morinho) V Draw(Morinho) } ==> Pass (Airbone) ^ Pass (Morinho)
• Lose(Ganteng) ^ Lose(Morinho) ==> Pass (Airbone) ^ Pass (Kentucky)

The conclusion is:

Pass(Ganteng) <==> Win(Ganteng) V {Draw(Ganteng)^ Lose(Morinho)}

In natural language:

"Ganteng FC will pass to the next phase if and only if Ganteng FC win, or Ganteng FC draw and Morinho loses. “

Too risky if Ganteng FC hopes Morinho loses. So we should win the game against The Never Fadding. That’s the final conclusion!