#2123 ⟨
a
,
b
|
aaaabaa
=
aba
⟩
Up:
Monoids with two generators and one relation
Prev:
#2122
⟨
a
,
b
|
aaaabaa
=
aab
⟩
Next:
#2124
⟨
a
,
b
|
aaaabaa
=
abb
⟩
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
4
b
a
2
⇒
aba
a
4
(
ba
)
2
⇒ (
ab
a
2
)
2
# ab:aaaabaa=aba ba aaaabaa=aba aaaababa=abaaabaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
