In the StateM runbook state specification $\Phi(s)$, the field used to define transfer checks evaluated before moving to another state is ___.

Identify the two mathematical violations regarding state inclusion in the engineer's specification and explain why each violates the formal definition of a StateM runbook.

Edge Guards and Transfer Hooks

In the formal definition of a StateM runbook, how is the set of directed, permitted transitions $\mathcal{E}$ mathematically defined?

In a formal StateM runbook, the designated initial state $s_0$ can be left undefined if the runbook allows arbitrary starting points within $\mathcal{S}$.

What are the exact names of the entry and exit hooks included in the phase-local configuration mapped by $\Phi(s)$?

Explain the formal role of the terminal state set $\mathcal{S}_T$ in a StateM runbook, including its mathematical relationship to $\mathcal{S}$ and its operational meaning during runbook execution.

Order the mathematical symbols as they appear in the formal StateM runbook tuple $\mathcal{B}$.