What does this note means about label transition machine.Hope to have explaination about the notation part and example 2.1 part

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What does this note means about label transition machine.Hope to have explaination about the notation part and example 2.1 part

esp-coffee
ask-esp
ask-am
92
93
coin
91
94
am-coffee
Fig. 2.1 A simple model for a coffee-vending machine
Notation: In the following, given an LTS (Q,A, →), a transition (q,l, q') € → is
denoted by qq'. Moreover, we also use the abbreviations below:
qif and only if
q. qa
qif and only if
Aq'. qd,
q→ if and only if 3.q,
q→ if and only if tq.
Example 2.1. A simple coffee-vending machine which can input one coin, allows
for the selection of espresso (action ask-esp) or American coffee (action ask-am),
and then delivers the chosen beverage — may be modeled by the LTS (rooted in 9₁)
depicted in Figure 2.1, with the obvious graphical convention. Formally, the set Q
of states is {91,92, 93, 94}, the set A of labels is {coin, ask-esp, ask-am, esp-coffee,
am-coffee} and the transition relation is the set {(91, coin, q2), (q2, ask-esp, 93),
(92, ask-am, 94), (93, esp-coffee, q1), (94, am-coffee, q1)}.
Transcribed Image Text:esp-coffee ask-esp ask-am 92 93 coin 91 94 am-coffee Fig. 2.1 A simple model for a coffee-vending machine Notation: In the following, given an LTS (Q,A, →), a transition (q,l, q') € → is denoted by qq'. Moreover, we also use the abbreviations below: qif and only if q. qa qif and only if Aq'. qd, q→ if and only if 3.q, q→ if and only if tq. Example 2.1. A simple coffee-vending machine which can input one coin, allows for the selection of espresso (action ask-esp) or American coffee (action ask-am), and then delivers the chosen beverage — may be modeled by the LTS (rooted in 9₁) depicted in Figure 2.1, with the obvious graphical convention. Formally, the set Q of states is {91,92, 93, 94}, the set A of labels is {coin, ask-esp, ask-am, esp-coffee, am-coffee} and the transition relation is the set {(91, coin, q2), (q2, ask-esp, 93), (92, ask-am, 94), (93, esp-coffee, q1), (94, am-coffee, q1)}.
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