#16451 ⟨
a
,
b
|
aba
=
bb
,
aabb
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#16450
⟨
a
,
b
|
aba
=
bb
,
aabb
=
ba
⟩
Next:
#16455
⟨
a
,
b
|
aba
=
bb
,
abab
=
bb
⟩
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
aba
⇒
b
2
a
2
b
2
⇒
b
2
b
3
a
⇒
a
b
3
b
2
a
b
2
⇒
a
b
3
a
b
5
⇒
ba
b
3
b
7
⇒
b
4
# ab:aba=bb,aabb=bb ab aba=bb aabb=bb bbba=abbb bbabb=abbb abbbbb=babbb bbbbbbb=bbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
