#1070 ⟨
a
,
b
|
aababa
=
aab
⟩
Up:
Monoids with two generators and one relation
Prev:
#1069
⟨
a
,
b
|
aababa
=
aaa
⟩
Next:
#1071
⟨
a
,
b
|
aababa
=
aba
⟩
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 shortlex with
c
<
b
<
a
Auxiliary generator:
aabb=c
cb
⇒
c
2
cac
⇒
c
2
a
cab
⇒
c
2
a
a
2
b
⇒
c
a
2
c
2
a
2
⇒
c
# ab:aababa=aab cba aabb=c frequency:4/0 cb=cc cac=cca cab=cca aab=caa ccaa=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
