#1108 ⟨
a
,
b
|
abaaab
=
bab
⟩
Up:
Monoids with two generators and one relation
Prev:
#1107
⟨
a
,
b
|
abaaab
=
baa
⟩
Next:
#1109
⟨
a
,
b
|
abaaab
=
bba
⟩
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(
a
) = 0; deg(
c
) = deg(
b
) = 1,
c
<
b
Auxiliary generator:
bab=c
bc
⇒
c
a
3
b
bac
⇒
cab
ab
a
2
c
⇒
c
a
3
b
ab
a
3
c
⇒
cab
bab
⇒
c
ab
a
3
b
⇒
c
# ab:abaaab=bab a/cb bab=c magic:0 bc=caaab bac=cab abaac=caaab abaaac=cab bab=c abaaab=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
