#587 ⟨
a
,
b
|
baab
=
abba
⟩
Up:
Monoids with two generators and one relation
Prev:
#586
⟨
a
,
b
|
baab
=
aaba
⟩
Next:
#588
⟨
a
,
b
|
baba
=
aabb
⟩
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:
abba=c
cab
⇒
abc
cba
⇒
bac
a
b
2
a
⇒
c
b
a
2
b
⇒
c
c
a
2
b
⇒
b
a
2
c
c
b
2
a
⇒
a
b
2
c
# ab:baab=abba abc abba=c magic:0 cab=abc cba=bac abba=c baab=c caab=baac cbba=abbc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
