#12449 ⟨
a
,
b
|
aabb
=
aa
,
bbab
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#12448
⟨
a
,
b
|
aabb
=
aa
,
bbab
=
a
⟩
Next:
#12450
⟨
a
,
b
|
aabb
=
aa
,
bbba
=
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
a
3
⇒
a
2
a
2
b
2
⇒
a
2
b
2
ab
⇒
b
a
(
ab
)
2
⇒
a
2
# ab:aabb=aa,bbab=b ab aaa=aa aabb=aa bbab=b aabab=aa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
