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〈
a
,
b
|
aaa
=
1
,
abab
=
bba
〉
Monoid presentation of length 10
Properties
Infinite non-commutative monoid
Completion parameters
Reduction order: right-to-left a/b
Complete rewriting system
a
3
⇒ 1
b
2
a
⇒
(ab)
2
baba
2
⇒
a
2
b
2
ba
2
(ba)
2
⇒
(a
2
b)
2
b
(ba)
4
⇒
(a
2
b)
3
b
b(a
2
b)
3
ab
⇒
(a
2
b)
4
b
(ba
2
)
4
b
2
⇒
a(ba
2
)
3
b
3
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
1 total
Length:
Presentation:
11
〈
a
,
b
|
aaa
=
1
,
aabba
=
bab
〉
Other anti-isomorphic instances
1 total
Length:
Presentation:
11
〈
a
,
b
|
aaa
=
1
,
aababa
=
bb
〉
