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November 1st, 2016, 01:42 AM  #1 
Newbie Joined: Nov 2016 From: Germany Posts: 1 Thanks: 0  equivalence relation  words from set of letters
Hi Im stuck on a Task here, someone help I have a set of letters E={a,b,c} from wich words can be formed. There is a relation between two words if they are formed of the same factors (A factor here is the combination of 4 letters, for example the word aababba has the factors aaba, abab, babb, abba) Now I have to prove i this is an equivalence relation. I think this is true but dont know how to properly prove it. Note: Hope my technical terms are correct, Im not a native english speaker. 
November 1st, 2016, 01:14 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,730 Thanks: 689 
I am not sure what you need to prove. You haven't defined the equivalence relationship. You can simply define two words to be equivalent if they have the same factors.


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equivalence, letters, relation, set, words 
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