#915 ⟨
a
,
b
|
aaabbaa
=
ba
⟩
Up:
Monoids with two generators and one relation
Prev:
#914
⟨
a
,
b
|
aaabbaa
=
ab
⟩
Next:
#916
⟨
a
,
b
|
aaabbaa
=
bb
⟩
Properties
Presentation has sum-of-sides 9
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(
c
) = deg(
a
) = 0,
c
<
a
; deg(
b
) = 1
Auxiliary generator:
bba=c
a
3
c
2
⇒
c
a
2
ca
(
a
3
c
)
2
a
⇒
c
bc
⇒
c
a
2
ca
ba
⇒
a
3
ca
# ab:aaabbaa=ba ca/b bba=c frequency:3/0 aaacc=caaca aaacaaaca=c bc=caaca ba=aaaca
Right Cayley graph (truncated)
Left Cayley graph (truncated)
