Lets say the alphabet is Σ=∅,what are the possible languages of this alphabet?
According to my definitions:
- I know that an alphabet is a finite set of symbols Σ
- I know words is a set of all finite symbols consisting of letters from the alphabet (Σ*) and an empty string part of all words ε ∈ Σ*
- I know that a language is a subset of words and an empty set is a subset of the words ∅ ⊆ Σ*
All this is very confusing to me, and I am very unsure about what languages there are when we have an empty set for the alphabet.