Asked Mar 29, 2019

The symmetric difference of two sets S1 and S2 is defined as

S1 ⊝ S2 = {x : x ∈ S1 or x ∈ S2, but x is not in both S1 and S2}.

Show that the family of regular languages is closed under symmetric difference.


Expert Answer

Step 1


Given that,

The symmetric difference between two sets such as “S1” and “S2” can be expressed in terms of regular set operations.

We know that the symmetric difference of “S1” and “S2” is defined as,

Step 2

Since we have for any set A and B:

Step 3

So, we can define symmetric dif...


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