haskell - What type of math is this: a -> b -> c -

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I often see similar types of announcements by looking at Haskell: 

  A ->; (B -> C)   
 I understand that it describes a function that takes some form and gives a new function that takes some of Type B And gives some sort of cues. I also understand that types are collaborative (edit: I was wrong about this - see the comments below), so the above can be written to get the same result:  
  (a ->; b) - & gt; C   
 This will describe a function that takes some form and some type of B and gives some sort of form.  
 I have also heard that you  
  a < - b & lt; - Can make a supplement (edit: actually, the word I was seeing is double - see the comments below). C   
 which I think is  
  c -> B - & gt; A   
 but I'm not sure.  
 My question is, what is the name of such math? I want to know more about this so that I can help me write better programs. I'm interested in learning some things which is a complimentary work, and how other types of changes can be made on types of announcements.  
 Thank you!   
 
 
 Speaking roughly, it falls into the scope.  
 Since this has to be done with the types of notation, so you may also be interested.  
 (You should have already misconstrued about affiliation with other responses so that I will not repeat it)

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