#2774 ⟨
a
,
b
|
bbabb
=
aaaaa
⟩
Up:
Monoids with two generators and one relation
Prev:
#2773
⟨
a
,
b
|
bbaaa
=
aabbb
⟩
Next:
#2775
⟨
a
,
b
|
bbabb
=
aabaa
⟩
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
2
⇒
a
5
b
2
a
6
⇒
a
6
b
2
b
2
ab
a
5
⇒
a
5
ba
b
2
# ab:bbabb=aaaaa ab bbabb=aaaaa bbaaaaaa=aaaaaabb bbabaaaaa=aaaaababb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
