there is no such thing as software

just variations in hardware, such as the magnetic polarization of bits on a hard drive

We might even argue that non-computational universes might not exist
Too bad you are in one.
because computation is the only notion that can maintain its universality (in math).
Who says it has to maintain itself, or even be universal? It could be a parasite. And in any case the reason I believe your arguments are wrong is because there is no foundation to them. You say logic causes consciousness, I say consciousness causes logic. You try to prove logic with logic, which Gödel already showed to be bad (even according to your own logic!).
Consciousness caused logic. Even the word logic means doctrine, or theory, which means it is based on something. How can you think it is the base of things? No, I know, because I too used to assume so as a kid, although I didn't think of it too hard back then and always had my doubts.
Consciousness is not caused by anything, except maybe consciousness itself. It's just the natural state of things. It's simple.