1.9 State Machines - Invariants

Derived Variables and Termination

  1. For state machines, a derived variable is a _____, of real variables, that assigns a "value" to each state.

    Exercise 1
  2. Which of the following is a derived variable for the diagonal robot on the grid example?

    Exercise 2
  3. A derived variable is a constant iff it is both _____increasing and _____ decreasing.

    Exercise 3
  4. Termination of a state machine is guaranteed if it has a derived variable on \(\mathbb{N} \) that is _____ decreasing in any _____.

    Exercise 4