#832 ⟨
a
,
b
|
abaaaaab
=
b
⟩
Up:
Monoids with two generators and one relation
Prev:
#831
⟨
a
,
b
|
abaaaaab
=
a
⟩
Next:
#833
⟨
a
,
b
|
abaaaaba
=
a
⟩
Properties
Presentation has sum-of-sides 9
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
bab
⇒
a
b
2
b
a
2
b
⇒
a
2
b
2
b
a
3
b
⇒
a
3
b
2
b
a
4
b
⇒
a
4
b
2
b
a
5
b
⇒
a
5
b
2
a
6
b
2
⇒
b
# ab:abaaaaab=b ab bab=abb baab=aabb baaab=aaabb baaaab=aaaabb baaaaab=aaaaabb aaaaaabb=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
