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〈
a
,
b
|
aaa
=
1
,
abab
=
bb
〉
Monoid presentation of length 9
Properties
Infinite non-commutative monoid
Completion parameters
Reduction order: right-to-left a/b
Complete rewriting system
a
3
⇒ 1
bab
⇒
a
2
b
2
ba
2
b
2
⇒
ab
3
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
3 total
Length:
Presentation:
10
〈
a
,
b
|
aaa
=
1
,
aabb
=
bab
〉
11
〈
a
,
b
|
aaa
=
1
,
aabab
=
abb
〉
11
〈
a
,
b
|
aaa
=
1
,
abaab
=
bab
〉
Other anti-isomorphic instances
1 total
Length:
Presentation:
11
〈
a
,
b
|
aaa
=
1
,
ababa
=
abb
〉