#6539 ⟨
a
,
b
|
aaa
=
a
,
aabb
=
ba
⟩
Up:
Monoids with two generators and two relations
Prev:
#6536
⟨
a
,
b
|
aaa
=
a
,
aaba
=
bb
⟩
Next:
#6540
⟨
a
,
b
|
aaa
=
a
,
aabb
=
bb
⟩
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
3
⇒
a
a
b
2
⇒
aba
b
2
a
⇒
b
a
2
a
2
ba
⇒
ba
(
ba
)
2
⇒
ba
# ab:aaa=a,aabb=ba ab aaa=a abb=aba bba=baa aaba=ba baba=ba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
