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a
i
2
v
1
/u
1
i
2
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2
/u
1
i
1
v
1
/u
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1
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2
/u
1
s
0
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1
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1
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/u
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2
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2
/u
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1
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1
/u
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/u
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b
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/v
2
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2
i
1
u
1
/v
1
z
1
i
2
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2
/v
2
z
1
t
0
t
1
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1
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1
/v
1
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1
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1
u
2
/v
1
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1
i
1
u
1
/v
2
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2
i
1
u
2
/v
2
z
1
i
2
u
1
/v
2
z
2
c
i
2
u
1
/v
1
z
2
i
2
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2
/v
2
z
2
i
1
u
2
/v
1
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2
z
2
/o
1
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1
/o
1
q
0
q
1
2
z
1
/o
2
z
2
/o
1
i
2
u
2
/v
2
z
2
e
d
i
2
u
1
/v
1
z
2
i
2
u
1
/v
2
z
2
i
1
u
1
/v
1
z
1
i
2
/o
1
i
1
u
1
/v
2
z
1
i
1
/o
1
r
0
r
1
a
b
i
1
u
2
/v
2
z
1
i
2
u
2
/v
2
z
2
i
1
u
2
/v
1
z
1
i
2
u
2
/v
1
z
2
i
1
/o
2
i
2
/o
1
i
1
u
2
/−−
i
2
u
2
/−−
i
1
u
1
/−−
i
2
u
1
/−−
g
f
i
1
u
1
/v
1
z
1
i
1
u
2
/v
1
z
1
i
2
u
1
/v
1
z
2
i
2
u
2
/v
1
z
2
i
1
/z
1
i
2
/z
2
i
1
u
1
/−−
0
0
dnc
i
1
u
2
/−−
i
2
u
1
/−−
i
2
u
2
/−−
Fig. 12.2
FSMs with reference to the topology in Fig.
12.1
.(
a
)FSM
M
A
;(
b
)FSM
M
B
;(
c
)FSM
M
C
;(
d
) Composition
M
A
M
B
M
C
;(
e
) Largest solution of the equation
M
X
.M
A
M
C
/ Š
M
B
M
A
M
B
M
C
;(
f
) Reduction
of the largest solution independent from the input
U
(and with
M
B
a single state); (
g
) Reduction
of the largest solution with a single state
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