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〈
a
,
b
|
aa
=
1
,
abbbba
=
bab
〉
Monoid presentation of length 11
Properties
Finite non-commutative monoid with 500 elements
Completion parameters
Reduction order: left-to-right b/a
Complete rewriting system
b
46
⇒
b
6
bab
42
⇒
bab
2
b
2
ab
41
⇒
b
2
ab
b
5
a
⇒
ab
5
a
2
⇒ 1
(ab)
2
⇒
b
4
a
ab
4
a
⇒
bab
(ba)
2
⇒
ab
4
bab
2
a
⇒
ab
3
ab
4
bab
3
ab
40
⇒
bab
3
a
b(b
3
a)
2
⇒
ab
2
ab
a(b
3
a)
2
⇒
bab
3
ab
36
Idempotents
2 elements
1
b
40
Right Cayley graph
Left Cayley graph
Other isomorphic instances
2 total
Length:
Presentation:
11
〈
a
,
b
|
aa
=
1
,
ababa
=
bbbb
〉
11
〈
a
,
b
|
aa
=
1
,
abbbb
=
baba
〉