What does this note means about label transition machine.Hope to have explaination about the notation part and example 2.1 part
What does this note means about label transition machine.Hope to have explaination about the notation part and example 2.1 part
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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)}.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4054855f-4348-4756-8774-0a17b1456f5e%2F1edc966f-fce3-4f32-984b-5fa34ab24bf9%2F6i4ibt5_processed.png&w=3840&q=75)
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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