I have that question that looks kinda easy at first but it is quite hard.
Let $L\in P$. Prove that $L^*\in P$
I tried to generate a Turing machine but I got stuck with the thing of the poly time machine, I only managed to create a non-deterministic machine. I know that there is a complicated method with graphs or with dynamic programming, But I am asking for a full proof or a more gentle one, "computational models"-oriented and not with algorithmic approach, but both kinds of proof will be good.