#2262 ⟨
a
,
b
|
aabbaba
=
aab
⟩
Up:
Monoids with two generators and one relation
Prev:
#2261
⟨
a
,
b
|
aabbaba
=
aaa
⟩
Next:
#2263
⟨
a
,
b
|
aabbaba
=
aba
⟩
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:
bbab=c
a
2
b
⇒
a
2
ca
cbab
⇒
b
2
ac
a
2
c
(
ab
)
2
⇒
a
2
c
b
2
ab
⇒
c
# ab:aabbaba=aab ac/b bbab=c frequency:4/3 aab=aaca cbab=bbac aacabab=aac bbab=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
