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1.1 StateCharts
The lecture has introduced Harel’s StateChart formalism. StateCharts are a popular specification model for
embedded systems.
1.1.a) Advantages of StateCharts
What are the most important extensions of the StateChart model in comparison to an ordinary finite state
machine (FSM)?
Solution: StateCharts can model hierarchy and concurrency. Transitions can be guarded (conditionally enabled).
Furthermore, transitions can be associated with actions. Actions can perform computations on variables, as
well as generate new events.
1.1.b) Disadvantages of StateCharts
What are the disadvantages of the StateChart formalism?
Solution: Although StateCharts scale better than ordinary FSMs, they grow in size for large systems and tend
to be hard to understand. There is only limited potential for re-use. Actions associated with transitions provide
a powerful extension, but on the other hand, the extensive use of actions moves parts of the system state
information from the states themselves to the variables. This hidden state makes system analysis difficult.
1.1.c) Tree of states for StateChart
Given the StateChart in Figure 1. Draw the state space of the StateChart as a tree, which shows the hierarchy
CB
e
d
a/c
ec b[D2]
A
1
2
G
D1
D
D2
Figure 1: StateChart
of states and denotes the state types (basic state, sequential states, and parallel states).
Solution: The state space is shown in Figure 2.
1.1.d) Formal computation of state space
How would you formally compute the set of states? Compute the set of states for the hierarchical automata
which is defined by the StateChart from Fig. 1.
1
Kai Huang
Introduction to Embedded Systems
Solution for Exercise Sheet 3
Issue Date: 14.11. 2014
paralleler Zustand
sequentieller Zustand
Basiszustand
B
2 G
C
D
D1 D2
1
A
Figure 2: State tree: hierarchy and type of states
Solution:
ZA = ZB × ZC
= (Z1 ∪ Z2)× (ZG ∪ ZD)
= (Z1 ∪ Z2)× (ZG ∪ (ZD1 ∪ ZD2))
= (Z1, ZG) ∪ (Z1, ZD1) ∪ (Z1,
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