#12597 ⟨
a
,
b
|
abba
=
bb
,
baab
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#12595
⟨
a
,
b
|
abba
=
bb
,
baaa
=
b
⟩
Next:
#12606
⟨
a
,
b
|
abbb
=
aa
,
bbbb
=
a
⟩
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
2
a
⇒
a
b
2
b
3
⇒
b
2
a
2
b
2
⇒
b
2
b
a
2
b
⇒
b
ba
b
2
⇒
a
b
2
# ab:abba=bb,baab=b ab bba=abb bbb=bb aabb=bb baab=b babb=abb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
