#2757 ⟨
a
,
b
|
baabb
=
abaaa
⟩
Up:
Monoids with two generators and one relation
Prev:
#2756
⟨
a
,
b
|
baabb
=
aabba
⟩
Next:
#2758
⟨
a
,
b
|
baabb
=
ababa
⟩
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
a
2
b
2
⇒
ab
a
3
ba
(
ab
)
2
a
3
⇒
ab
a
5
b
2
# ab:baabb=abaaa ab baabb=abaaa baababaaa=abaaaaabb
Right Cayley graph (truncated)
Left Cayley graph (truncated)