complex see that show so the kinds of things I want to do is circuits I is I want to analyze them so I'm going to talk about computational problems that take a circuit encode it in some way as an input and compute something on that circuit so the circuit analysis problem is a problem where the input is a circuit so here we have some logical circuit written down in some encoding the P that our program can read and we want to output some property of the function computed by this circuit so we want to know something about what