#916 ⟨
a
,
b
|
aaabbaa
=
bb
⟩
Up:
Monoids with two generators and one relation
Prev:
#915
⟨
a
,
b
|
aaabbaa
=
ba
⟩
Next:
#917
⟨
a
,
b
|
aaabbab
=
aa
⟩
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
b
<
a
a
3
b
4
⇒ (
b
2
a
)
2
a
a
3
b
2
a
2
⇒
b
2
a
2
(
a
b
2
)
2
⇒ (
b
2
a
2
)
2
# ab:aaabbaa=bb ba aaabbbb=bbabbaa aaabbaa=bb aaabbabb=bbaabbaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
