#2430 ⟨
a
,
b
|
aaabaa
=
baab
⟩
Up:
Monoids with two generators and one relation
Prev:
#2429
⟨
a
,
b
|
aaabaa
=
baaa
⟩
Next:
#2431
⟨
a
,
b
|
aaabaa
=
baba
⟩
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
a
2
⇒
b
a
2
b
a
3
b
2
a
2
b
⇒
ba
(
ab
)
2
a
2
a
3
bab
a
2
b
⇒ (
b
a
2
)
3
# ab:aaabaa=baab ba aaabaa=baab aaabbaab=baababaa aaababaab=baabaabaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
