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〈
a
,
b
|
aaa
=
1
,
abba
=
bbb
〉
Monoid presentation of length 10
Properties
Infinite non-commutative monoid
Completion parameters
Reduction order: left-to-right b/a
Complete rewriting system
b
32
⇒
b
2
b
2
ab
30
⇒
b
2
a
b
5
a
⇒
ab
5
a
2
b
2
⇒
b
2
ab
29
ab
2
a
⇒
b
3
ab
4
a
⇒
b
3
ab
3
b
2
a
2
⇒
b
4
ab
27
b(ba)
2
⇒
(ab
3
)
2
(b
3
a)
2
⇒
abab
2
a
3
⇒ 1
a
2
bab
2
⇒
b
2
ab
3
ab
27
(ab)
3
b
⇒
bab
3
ab
8
(ba)
2
b
3
a
⇒
abab
3
ab
19
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
1 total
Length:
Presentation:
11
〈
a
,
b
|
aaa
=
1
,
aabbb
=
bba
〉
