#25725 ⟨
a
,
b
|
aa
=
a
,
bbbb
=
babb
⟩
Up:
Monoids with two generators and two relations
Prev:
#25723
⟨
a
,
b
|
aa
=
a
,
bbbb
=
abbb
⟩
Next:
#25820
⟨
a
,
b
|
ab
=
a
,
baaa
=
aaaa
⟩
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
ba
b
2
⇒
b
4
# ab:aa=a,bbbb=babb ba aa=a babb=bbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)