Let $\Sigma = \{\alpha, \beta \}$ and $L = \{\alpha (\beta \alpha)^*\}$
I don't understand the notation for the language $L$. Does it mean that every string must start with $\alpha$, and then have an arbitrary number of ($\beta\alpha$) after it?
Let $\Sigma = \{\alpha, \beta \}$ and $L = \{\alpha (\beta \alpha)^*\}$
I don't understand the notation for the language $L$. Does it mean that every string must start with $\alpha$, and then have an arbitrary number of ($\beta\alpha$) after it?
That's exactly right. And the 'arbitrary number' is 0 or more. So, just having $\alpha$ would be a word in this language.