Question: Consider following program where `x` is an integer variable; you may ignore the possibility of `x` overflowing: x := x + 2 x := x

Consider following program where `x` is an integer variable; you may ignore the possibility of `x` overflowing:

x := x + 2 x := x + 3 x := x + 4

Prove that under precondition `x = 0` the program establishes the postcondition `x = 9`. For this, draw a state diagram similar to the diagram for `x := x + 1 x := x + 2` in the course notes. Use a program to draw a diagram and insert the diagram as an svg file. The diagram has to include all the required annotations. State all conditions for the correctness of the transitions and for non-interference. You do not have to carry out the proofs [you get bonus ponits if you do].

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