Location/variable duality (1/2)

The lesson that introduces discrete variables, uses an example of a counter. The actual count was modeled using a variable:

automaton counter:
  event increment, decrement;

  disc int count = 3;

    edge decrement when count > 0 do count := count - 1;
    edge increment when count < 5 do count := count + 1;

It is also possible to use multiple locations instead of a variable:

automaton counter:
  event increment, decrement;

  location zero:
    edge increment goto one;

  location one:
    edge decrement goto zero;
    edge increment goto two;

  location two:
    edge decrement goto one;
    edge increment goto three;

  location three:

    edge decrement goto two;
    edge increment goto four;

  location four:
    edge decrement goto three;
    edge increment goto five;

  location five:
    edge decrement goto four;

This alternate model has the same behavior, in that it models a counter that can be incremented an decremented in steps of one, and the value is kept at least zero, and at most five. The variant with the variable however, is shorter and more intuitive. It is also easier to change to the count < 5 guard to count < 100 than it is to add dozens of additional locations and edges. In this case, using a variable is preferable to using multiple locations.