#23318 ⟨
a
,
b
|
aaa
=1,
bbab
=
abbb
⟩
Up:
Monoids with two generators and two relations
Prev:
#23314
⟨
a
,
b
|
aaa
=1,
babb
=
baba
⟩
Next:
#23319
⟨
a
,
b
|
aaa
=1,
bbab
=
babb
⟩
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
b
<
a
a
3
⇒ 1
a
b
3
⇒
b
2
ab
a
2
b
2
ab
⇒
b
3
a
(
b
2
a
)
2
b
⇒
b
5
# ab:aaa=1,bbab=abbb ba aaa=1 abbb=bbab aabbab=bbb abbabbab=bbbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
