#19265 ⟨
a
,
b
|
aaa
=
a
,
abaab
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#19264
⟨
a
,
b
|
aaa
=
a
,
abaab
=
ba
⟩
Next:
#19267
⟨
a
,
b
|
aaa
=
a
,
ababa
=
ab
⟩
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
b
<
a
a
3
⇒
a
a
b
3
⇒
b
3
a
2
b
2
⇒
b
2
aba
b
2
⇒
b
2
a
2
b
ab
a
2
b
⇒
b
2
# ab:aaa=a,abaab=bb ba aaa=a abbb=bbb aabb=bb ababb=bbaab abaab=bb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
