An Internal Model Principle For Robots

The candidate solution proves that MSR commutes with inverse image under the surjective homomorphism q = f̂_{x0} and then constructs the induced quotient isomorphism I/EI → X/EX. This matches the paper’s Theorem 28 (I/EI ≅ X/EX) and its key ingredient, Theorem 26 (MSR commutes with epimorphisms) for h = f̂_{x0} with X strongly connected ensuring surjectivity. The paper proves it by invoking established lemmas and a general h(E) machinery; the candidate gives a direct relational-closure argument. Both are correct; the proofs are methodologically different but substantively aligned with the result in the paper .