#2485 ⟨
a
,
b
|
aabaab
=
abba
⟩
Up:
Monoids with two generators and one relation
Prev:
#2484
⟨
a
,
b
|
aabaab
=
abab
⟩
Next:
#2486
⟨
a
,
b
|
aabaab
=
abbb
⟩
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:
abba=c
a
b
2
a
⇒
c
(
a
2
b
)
2
⇒
c
cba
⇒
a
2
bac
c
a
2
b
⇒
a
2
bc
c
b
2
a
⇒
a
b
2
c
cab
a
2
b
⇒
a
b
2
c
# ab:aabaab=abba a/bc abba=c magic:0 abba=c aabaab=c cba=aabac caab=aabc cbba=abbc cabaab=abbc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
