#541 ⟨
a
,
b
|
abaab
=
baa
⟩
Up:
Monoids with two generators and one relation
Prev:
#540
⟨
a
,
b
|
abaab
=
abb
⟩
Next:
#542
⟨
a
,
b
|
abaab
=
bab
⟩
Properties
Presentation has sum-of-sides 8
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:
baa=c
acb
⇒
c
b
a
2
⇒
c
c
a
2
⇒
a
c
2
c
2
b
⇒
bac
# ab:abaab=baa abc baa=c magic:0 acb=c baa=c caa=acc ccb=bac
Right Cayley graph (truncated)
Left Cayley graph (truncated)
