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LARA
CS320
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eb180bed
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eb180bed
authored
2 weeks ago
by
Sankalp Gambhir
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Ex 1.1: typo aab -> abv
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info/exercises/ex-01-sol.pdf
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info/exercises/ex-01-sol.pdf
info/exercises/src/ex-01/ex/languages.tex
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info/exercises/src/ex-01/ex/languages.tex
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info/exercises/src/ex-01/ex/languages.tex
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...
@@ -134,7 +134,7 @@
...
@@ -134,7 +134,7 @@
such that
\(
w
_
1
=
a
\)
,
\(
w
_
2
=
a
\)
, and
\(
w
_{
i
+
2
}
=
v
_
i
\)
for
\(
1
\le
i
such that
\(
w
_
1
=
a
\)
,
\(
w
_
2
=
a
\)
, and
\(
w
_{
i
+
2
}
=
v
_
i
\)
for
\(
1
\le
i
\le
m
\)
. Since
\(
m < |v|
\)
and
\(
|v|
=
|w|
-
2
\)
,
\(
m
+
2
< |w|
\)
. QED.
\le
m
\)
. Since
\(
m < |v|
\)
and
\(
|v|
=
|w|
-
2
\)
,
\(
m
+
2
< |w|
\)
. QED.
\item
\(
w
=
a
a
b
\)
: by the same argument as the previous case,
\(
v
\)
has a decomposition
\item
\(
w
=
ab
v
\)
: by the same argument as the previous case,
\(
v
\)
has a decomposition
into words in
\(
\{
a, ab
\}
\)
,
\(
v
=
v
_
1
\ldots
v
_
m
\)
for some
\(
m < |v|
\)
into words in
\(
\{
a, ab
\}
\)
,
\(
v
=
v
_
1
\ldots
v
_
m
\)
for some
\(
m < |v|
\)
and
\(
v
_
i
\in
\{
a, ab
\}
\)
.
and
\(
v
_
i
\in
\{
a, ab
\}
\)
.
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