#2482 ⟨
a
,
b
|
aabaab
=
aabb
⟩
Up:
Monoids with two generators and one relation
Prev:
#2481
⟨
a
,
b
|
aabaab
=
aaba
⟩
Next:
#2483
⟨
a
,
b
|
aabaab
=
abaa
⟩
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 recursive path with deg(
a
) = 0; deg(
b
) = deg(
c
) = 1,
b
<
c
Auxiliary generator:
aabb=c
a
2
b
2
⇒
c
(
a
2
b
)
2
⇒
c
cb
⇒
a
2
bc
c
a
2
b
⇒
a
2
bc
# ab:aabaab=aabb a/bc aabb=c magic:0 aabb=c aabaab=c cb=aabc caab=aabc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
