#25721 ⟨
a
,
b
|
aa
=
a
,
bbbb
=
abab
⟩
Up:
Monoids with two generators and two relations
Prev:
#25716
⟨
a
,
b
|
aa
=
a
,
bbba
=
abbb
⟩
Next:
#25722
⟨
a
,
b
|
aa
=
a
,
bbbb
=
abba
⟩
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
(
ab
)
2
⇒
b
4
a
b
4
⇒
b
4
b
4
ab
⇒
b
5
b
7
⇒
b
5
# ab:aa=a,bbbb=abab ba aa=a abab=bbbb abbbb=bbbb bbbbab=bbbbb bbbbbbb=bbbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
