#1910 ⟨
a
,
b
|
aaabbaaa
=
bb
⟩
Up:
Monoids with two generators and one relation
Prev:
#1909
⟨
a
,
b
|
aaabbaaa
=
ab
⟩
Next:
#1911
⟨
a
,
b
|
aaabbaab
=
aa
⟩
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
a
3
b
2
a
3
⇒
b
2
b
2
a
b
2
a
3
⇒
a
2
(
a
b
2
)
2
(
b
2
a
2
)
2
a
⇒
a
(
a
2
b
2
)
2
# ab:aaabbaaa=bb ab bbbbaaa=aaabbbb aaabbaaa=bb bbabbaaa=aaabbabb bbaabbaaa=aaabbaabb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
