#1637 ⟨
a
,
b
|
aaabbaaab
=
a
⟩
Up:
Monoids with two generators and one relation
Prev:
#1636
⟨
a
,
b
|
aaababbba
=
b
⟩
Next:
#1638
⟨
a
,
b
|
aaabbaaab
=
b
⟩
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
3
b
2
a
⇒
ab
a
3
b
a
4
b
a
2
b
⇒ (
ab
a
2
)
2
(
ab
a
2
)
2
b
⇒
a
# ab:aaabbaaab=a ba aaabba=abaaab aaaabaab=abaaabaa abaaabaab=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
