#4151 ⟨
a
,
b
|
abb
=
aaa
,
baa
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#4150
⟨
a
,
b
|
abb
=
aaa
,
baa
=
a
⟩
Next:
#4152
⟨
a
,
b
|
abb
=
aaa
,
bab
=
a
⟩
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
a
<
b
a
b
2
⇒
a
3
b
a
2
⇒
b
b
3
⇒
b
a
3
b
⇒
ab
a
5
⇒
a
3
# ab:abb=aaa,baa=b ab abb=aaa baa=b bbb=b aaab=ab aaaaa=aaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
