#13067 ⟨
a
,
b
|
baa
=
abb
,
aaab
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#13064
⟨
a
,
b
|
baa
=
abb
,
aaaa
=
a
⟩
Next:
#13091
⟨
a
,
b
|
bab
=
aaa
,
abba
=
b
⟩
Properties
Presentation has sum-of-sides 11
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
a
<
b
b
a
2
⇒
a
b
2
a
3
b
⇒
b
b
2
ab
⇒
a
2
b
2
ba
b
3
⇒
a
(
ab
)
2
b
6
⇒ (
ab
)
3
b
(
ab
)
3
⇒ (
ab
)
3
b
# ab:baa=abb,aaab=b ab baa=abb aaab=b bbab=aabb babbb=aabab bbbbbb=ababab bababab=abababb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
