#586 ⟨
a
,
b
|
baab
=
aaba
⟩
Up:
Monoids with two generators and one relation
Prev:
#585
⟨
a
,
b
|
baab
=
aaaa
⟩
Next:
#587
⟨
a
,
b
|
baab
=
abba
⟩
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
c
<
a
<
b
Auxiliary generator:
aaba=c
bc
⇒
ca
a
2
c
⇒
cab
a
2
ba
⇒
c
b
a
2
b
⇒
c
# ab:baab=aaba cab aaba=c magic:0 bc=ca aac=cab aaba=c baab=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
