#20215 ⟨
a
,
b
|
aba
=
a
,
abba
=
aab
⟩
Up:
Monoids with two generators and two relations
Prev:
#20214
⟨
a
,
b
|
aba
=
a
,
abba
=
aaa
⟩
Next:
#20217
⟨
a
,
b
|
aba
=
a
,
abba
=
abb
⟩
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
3
⇒
a
2
aba
⇒
a
a
b
2
a
⇒
a
2
b
a
2
b
3
a
⇒
a
2
b
# ab:aba=a,abba=aab ab aaa=aa aba=a abba=aab aabbba=aab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
