#1129 ⟨
a
,
b
|
abbaab
=
aaa
⟩
Up:
Monoids with two generators and one relation
Prev:
#1128
⟨
a
,
b
|
ababba
=
bbb
⟩
Next:
#1130
⟨
a
,
b
|
abbaab
=
aab
⟩
Properties
Presentation has sum-of-sides 9
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
b
2
a
2
b
⇒
a
3
a
(
a
2
b
)
2
⇒
a
b
2
a
4
# ab:abbaab=aaa ba abbaab=aaa aaabaab=abbaaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
