#2526 ⟨
a
,
b
|
aabbaa
=
abba
⟩
Up:
Monoids with two generators and one relation
Prev:
#2525
⟨
a
,
b
|
aabbaa
=
abab
⟩
Next:
#2527
⟨
a
,
b
|
aabbaa
=
abbb
⟩
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
a
2
b
2
a
2
⇒
a
b
2
a
(
a
b
2
)
2
a
2
⇒
a
2
(
b
2
a
)
2
# ab:aabbaa=abba ab aabbaa=abba abbabbaa=aabbabba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
