#2710 ⟨
a
,
b
|
abbab
=
ababa
⟩
Up:
Monoids with two generators and one relation
Prev:
#2709
⟨
a
,
b
|
abbab
=
abaab
⟩
Next:
#2711
⟨
a
,
b
|
abbab
=
abbaa
⟩
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:
ab=c
ab
⇒
c
c
2
a
⇒
cbc
(
cb
)
2
⇒
c
3
c
4
b
⇒
cb
c
3
# ab:abbab=ababa abc ab=c frequency:2/0 ab=c cca=cbc cbcb=ccc ccccb=cbccc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
