Theorem 3.6

Theorem 3.6 (Future-context full abstraction). For rooted degree-$d$ scaffolds over one working alphabet:

1. equal unfoldings, equality of every finite rooted neighborhood, and deterministic labelled bisimilarity are equivalent;

2. unfolding equivalence is preserved by every common scaffold row and hence by every common continuation; and

3. unequal unfoldings are distinguished after finitely many steps by a distance-two unary scaffold continuation.