#2559 ⟨
a
,
b
|
aabbba
=
bbaa
⟩
Up:
Monoids with two generators and one relation
Prev:
#2558
⟨
a
,
b
|
aabbba
=
babb
⟩
Next:
#2560
⟨
a
,
b
|
aabbba
=
bbab
⟩
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 recursive path with deg(
a
) = deg(
c
) = 0,
a
<
c
; deg(
b
) = 1
Auxiliary generator:
bbba=c
bca
⇒
a
2
c
2
b
a
2
c
⇒
ca
b
2
a
2
⇒
a
2
c
b
3
a
⇒
c
# ab:aabbba=bbaa ac/b bbba=c frequency:4/3 bca=aacc baac=ca bbaa=aac bbba=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
