#2000 ⟨
a
,
b
|
aabbbaab
=
aa
⟩
Up:
Monoids with two generators and one relation
Prev:
#1999
⟨
a
,
b
|
aabbabba
=
bb
⟩
Next:
#2001
⟨
a
,
b
|
aabbbaab
=
ab
⟩
Properties
Presentation has sum-of-sides 10
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
4
b
⇒
a
2
b
a
2
(
a
2
b
)
2
⇒
a
2
b
2
a
2
a
2
b
2
a
2
b
⇒
a
2
b
3
a
2
a
2
b
3
a
2
b
⇒
a
2
# ab:aabbbaab=aa ba aaaab=aabaa aabaab=aabbaa aabbaab=aabbbaa aabbbaab=aa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
