#2759 ⟨
a
,
b
|
baabb
=
abbaa
⟩
Up:
Monoids with two generators and one relation
Prev:
#2758
⟨
a
,
b
|
baabb
=
ababa
⟩
Next:
#2760
⟨
a
,
b
|
babaa
=
aaabb
⟩
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 shortlex with
a
<
b
<
c
Auxiliary generator:
abbaa=c
c
a
2
⇒
bac
c
b
2
⇒
abc
a
b
2
a
2
⇒
c
b
a
2
b
2
⇒
c
# ab:baabb=abbaa abc abbaa=c magic:0 caa=bac cbb=abc abbaa=c baabb=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
