#16161 ⟨
a
,
b
|
aab
=
ab
,
abaa
=
aa
⟩
Up:
Monoids with two generators and two relations
Prev:
#16160
⟨
a
,
b
|
aab
=
ab
,
aabb
=
bb
⟩
Next:
#16162
⟨
a
,
b
|
aab
=
ab
,
abaa
=
ab
⟩
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
⇒
ab
ab
a
2
⇒
a
2
(
ab
)
2
⇒
ab
# ab:aab=ab,abaa=aa ab aaa=aa aab=ab abaa=aa abab=ab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
