#2036 ⟨
a
,
b
|
abaabaab
=
ba
⟩
Up:
Monoids with two generators and one relation
Prev:
#2035
⟨
a
,
b
|
abaabaab
=
ab
⟩
Next:
#2037
⟨
a
,
b
|
abaabaab
=
bb
⟩
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(
b
) = deg(
c
) = 0,
b
<
c
; deg(
a
) = 1
Auxiliary generator:
aab=c
c
9
b
⇒
bc
ba
⇒
ab
c
2
ca
⇒
a
c
3
a
2
b
⇒
c
# ab:abaabaab=ba bc/a aab=c frequency:3/0 cccccccccb=bc ba=abcc ca=accc aab=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
