#1682 ⟨
a
,
b
|
aabaabbaa
=
b
⟩
Up:
Monoids with two generators and one relation
Prev:
#1681
⟨
a
,
b
|
aabaabbaa
=
a
⟩
Next:
#1683
⟨
a
,
b
|
aabaabbab
=
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
b
<
a
a
2
b
a
2
b
3
⇒ (
b
2
a
2
)
2
(
a
2
b
)
2
bab
⇒
bab
a
2
b
2
a
2
(
a
2
b
)
2
b
a
2
⇒
b
# ab:aabaabbaa=b ba aabaabbb=bbaabbaa aabaabbab=babaabbaa aabaabbaa=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
