#1704 ⟨
a
,
b
|
aababbbaa
=
b
⟩
Up:
Monoids with two generators and one relation
Prev:
#1703
⟨
a
,
b
|
aababbbaa
=
a
⟩
Next:
#1705
⟨
a
,
b
|
aababbbab
=
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
2
a
b
3
a
2
⇒
a
2
ba
b
4
a
2
ba
b
3
a
2
⇒
b
(
ba
)
2
b
3
a
2
⇒
a
2
ba
b
3
ab
# ab:aababbbaa=b ab bbabbbaa=aababbbb aababbbaa=b bababbbaa=aababbbab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
