#6544 ⟨
a
,
b
|
aaa
=
a
,
abab
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#6543
⟨
a
,
b
|
aaa
=
a
,
abab
=
ba
⟩
Next:
#6546
⟨
a
,
b
|
aaa
=
a
,
abba
=
ab
⟩
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
2
b
2
⇒
b
2
(
ab
)
2
⇒
b
2
b
2
ab
⇒
a
b
3
ba
b
3
⇒
a
b
4
# ab:aaa=a,abab=bb ab aaa=a aabb=bb abab=bb bbab=abbb babbb=abbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
