#19586 ⟨
a
,
b
|
aab
=
b
,
babaa
=
ba
⟩
Up:
Monoids with two generators and two relations
Prev:
#19571
⟨
a
,
b
|
aab
=
b
,
baaaa
=
bb
⟩
Next:
#19587
⟨
a
,
b
|
aab
=
b
,
babaa
=
bb
⟩
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
2
b
⇒
b
b
2
a
⇒
ba
b
3
⇒
b
2
b
a
3
⇒
ba
(
ba
)
2
⇒
b
a
2
ba
b
2
⇒
bab
# ab:aab=b,babaa=ba ab aab=b bba=ba bbb=bb baaa=ba baba=baa babb=bab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
