#25699 ⟨
a
,
b
|
aa
=
a
,
baba
=
abbb
⟩
Up:
Monoids with two generators and two relations
Prev:
#25698
⟨
a
,
b
|
aa
=
a
,
baba
=
abab
⟩
Next:
#25705
⟨
a
,
b
|
aa
=
a
,
babb
=
abab
⟩
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
2
⇒
a
a
b
3
⇒ (
ba
)
2
a
(
ba
)
2
⇒ (
ba
)
2
b
3
aba
⇒
b
(
ba
)
2
ab
(
ba
)
2
⇒
b
(
ba
)
2
# ab:aa=a,baba=abbb ba aa=a abbb=baba ababa=baba bbbaba=bbaba abbaba=bbaba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
