I have a very basic question about fully homomorphic encryption. As I understand it, the encryption scheme ensures that an adversary who has access to the phys

I have a very basic question about fully homomorphic encryption. As I understand it, the encryption scheme ensures that an adversary who has access to the physical computer cannot determine what data the computer program is operating on, even by inspecting the physical states of the machine. My question is whether or not it is possible for the adversary to determine what computer program is being run. To use the example provided by the post, it is not possible to determine which two integers are being added --- but is it possible to know that the computer is running a program that is adding two integers?