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〈
a
,
b
|
aaa
=
1
,
babb
=
ba
〉
Monoid presentation of length 9
Properties
Infinite non-commutative monoid
Completion parameters
Reduction order: left-to-right ab
Complete rewriting system
a
3
⇒ 1
b
3
⇒
b
bab
2
⇒
ba
ba
2
b
2
⇒
ba
2
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
2 total
Length:
Presentation:
11
〈
a
,
b
|
aaa
=
1
,
ababb
=
aba
〉
11
〈
a
,
b
|
aaa
=
1
,
baabb
=
baa
〉
Other anti-isomorphic instances
3 total
Length:
Presentation:
10
〈
a
,
b
|
aaa
=
1
,
aabbab
=
b
〉
10
〈
a
,
b
|
aaa
=
1
,
abbaab
=
b
〉
11
〈
a
,
b
|
aaa
=
1
,
abbab
=
aab
〉