#1650 ⟨
a
,
b
|
aaabbbaaa
=
b
⟩
Up:
Monoids with two generators and one relation
Prev:
#1648
⟨
a
,
b
|
aaabbabba
=
b
⟩
Next:
#1651
⟨
a
,
b
|
aaabbbaab
=
a
⟩
Properties
Presentation has sum-of-sides 10
Infinite non-commutative monoid
Complete rewriting system
Format:
Pretty
Plain
Word to reduce:
Tips:
Lowercase letters stand for generators.
Spaces are ignored.
Numbers repeat the previous letter, e.g.
b90
.
Reduction strategy:
Leftmost
Rightmost
Path to normal form:
1
1
Reduction order:
Left-to-right shortlex with
a
<
b
b
4
a
3
⇒
a
3
b
4
ba
b
3
a
3
⇒
a
3
b
3
ab
a
3
b
3
a
3
⇒
b
b
a
2
b
3
a
3
⇒
a
3
b
3
a
2
b
# ab:aaabbbaaa=b ab bbbbaaa=aaabbbb babbbaaa=aaabbbab aaabbbaaa=b baabbbaaa=aaabbbaab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
