Can anyone explain how S2 is false,I did not understand their logic.
Hey suppose Σ = {a,b} then we know
Σ* = { epsilon , a, b, aa , ab, ba ,bb ,........}
Here's definition of Language : A language is a set of string all of which are chosen from some ∑*, where ∑ is a particular alphabet.
So a Language can be anything as well as : L = { epsilon } is also a valid language.( A language that excepts empty
Now L* will obviously be L* = {epsilon} so , L* - {epsilon} = empty set. So second statement will not be always true. I have no formal answer but I hope this counter example I provided helps
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