Underage magic

[Arya]

No: HPFGUIDX 88613

NEMI WROTE:
The law preventing underage magic is called "The *Reasonably* 
Restriction on Underaged Magic" (emphasis mine)
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ARYA REPLIES:  Actually, I was just musing on this last night and 
it's a restriction on **SORCERY**.  The notice in CoS even explains 
that *spells* are not to be performed.  It really makes me wonder 
about accidental/wandless magic being detectable or an offense.  
There was no owl when the protection or Harry zapped Vernon in Ch1 of 
OotP and the notice for casting the Patronus charm never mentions the 
wandless Lumos. 

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So the school or the ministry most likely sends home permission slips 
for the students, or asks the parents if they want magic performed 
infront of them. Petunia at that age wouldn't have a say in it.
Or, more disturbingly, they have a way to measure the "magiphobia" or
"Muggleness" of people. (They have a quill to write down all 
magically born children, after all.) In which case they might very 
well know, (or not know but be on file) that Harry is in abusive, or 
high risk enviroment.
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ARYA REPLIES:  I think if this were the case it would have been a 
*MUCH* bigger deal and shown up in a book.  The CoS notice is very 
clear it's just the rule for no underage witches or wizards to do any 
spells.  Period.  Hermione never tells us she goes home in the summer 
and shows off to her parents how she can cast a cleaning charm to 
wash the dishes in the blink of an eye.  Nor, does Ron or Ginny do 
magic at the Burrow as they please.  In fact, it's obvious in OotP 
that the fact that Fred and George are of age and allowed to do magic 
was the impetus for them using magic all over around the house to do 
small things like send a trunk down the stairs and flying into Ginny 
and trying to set the table with magic but in a not so graceful 
manner.  
Also, the magical quill recording magical children is Hogwarts, not 
the Ministry's.  The exact quote from JKR is: In Hogwarts there's a 
magical quill which detects the birth of a magical child.  It's from 
the Scholastic Feburary 2000 chat.  And knowing Harry was in an 
abusive household (I severely hope this in no way the case) is only 
MORE reason to give the Boy Who Lived adequate means to defend 
himself against poor muggles.