Backup diff of First Example (No. 2)

  • The added line is THIS COLOR.
  • The deleted line is THIS COLOR.

The following program (also called a '''model''') describes a sawtooth function.

 INIT     <=> f=0.
 INCREASE <=> [](f'=3).
 DROP     <=> [](f- = 10 => f = 0).

The first three lines (often called '''rules''' or '''named constraints''') define three constraints, and the final line combines those rules.

This program defines the trajectory of a variable f (which is actually a function of time) in the following way.

The rule INIT defines the initial value of f.

The rule INCREASE states that the slope of f if always 3.

The rule DROP states that the value of f is reset to 0 whenever the value reaches 10
(where the minus sign after f means the left limit of f).

The final line states that
- INIT is enabled,
- INCREASE is enabled whenever it is consistent with DROP, and
- DROP is enabled.

That is, the priority of DROP is higher than INCREASE.

More examples can be found in the [[Examples]] page.