#821 ⟨
a
,
b
|
aabbbaab
=
a
⟩
Up:
Monoids with two generators and one relation
Prev:
#820
⟨
a
,
b
|
aabbabba
=
b
⟩
Next:
#822
⟨
a
,
b
|
aabbbaab
=
b
⟩
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
2
b
3
a
⇒
a
b
2
a
2
b
a
3
bab
⇒ (
aba
)
2
(
aba
)
2
b
⇒
a
b
2
a
2
ba
a
b
2
a
(
ab
)
2
⇒
a
# ab:aabbbaab=a ba aabbba=abbaab aaabab=abaaba abaabab=abbaaba abbaabab=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
