#2524 ⟨
a
,
b
|
aabbaa
=
aabb
⟩
Up:
Monoids with two generators and one relation
Prev:
#2523
⟨
a
,
b
|
aabbaa
=
aaba
⟩
Next:
#2525
⟨
a
,
b
|
aabbaa
=
abab
⟩
Properties
Presentation has sum-of-sides 10
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
<
c
Auxiliary generator:
aabb=c
c
a
2
⇒
c
c
b
2
⇒
c
2
a
2
b
2
⇒
c
ca
b
2
⇒
cac
# ab:aabbaa=aabb abc aabb=c magic:0 caa=c cbb=cc aabb=c cabb=cac
Right Cayley graph (truncated)
Left Cayley graph (truncated)
