#1105 ⟨
a
,
b
|
abaaab
=
aba
⟩
Up:
Monoids with two generators and one relation
Prev:
#1104
⟨
a
,
b
|
abaaab
=
aab
⟩
Next:
#1106
⟨
a
,
b
|
abaaab
=
abb
⟩
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(
b
) = deg(
c
) = 0,
b
<
c
; deg(
a
) = 1
Auxiliary generator:
abaa=c
c
3
b
⇒
c
ca
⇒
c
2
cba
⇒ (
c
2
b
)
2
c
2
b
2
a
⇒
ab
c
2
b
aba
⇒
c
2
b
# ab:abaaab=aba bc/a abaa=c frequency:4/0 cccb=c ca=cc cba=ccbccb ccbba=abccb aba=ccb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
