#4165 ⟨
a
,
b
|
abb
=
aba
,
baa
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#4164
⟨
a
,
b
|
abb
=
aba
,
baa
=
a
⟩
Next:
#4168
⟨
a
,
b
|
abb
=
aba
,
bba
=
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
b
<
a
b
2
a
⇒
b
3
b
a
2
⇒
b
aba
⇒
a
b
2
b
4
⇒
b
2
a
b
3
⇒
ab
# ab:abb=aba,baa=b ba bba=bbb baa=b aba=abb bbbb=bb abbb=ab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
