#13036 ⟨
a
,
b
|
abb
=
aba
,
bbaa
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#13029
⟨
a
,
b
|
abb
=
aba
,
baaa
=
b
⟩
Next:
#13040
⟨
a
,
b
|
abb
=
aba
,
bbba
=
a
⟩
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
b
2
⇒
aba
b
2
a
2
⇒
a
ab
a
3
⇒
a
2
(
ab
)
2
a
2
⇒
aba
# ab:abb=aba,bbaa=a ab abb=aba bbaa=a abaaa=aa ababaa=aba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
