#2190 ⟨
a
,
b
|
aaabbaa
=
bbb
⟩
Up:
Monoids with two generators and one relation
Prev:
#2189
⟨
a
,
b
|
aaabbaa
=
bba
⟩
Next:
#2191
⟨
a
,
b
|
aaabbab
=
aaa
⟩
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
) = 0; deg(
b
) = 1
b
3
⇒
a
3
b
2
a
2
a
3
b
2
a
2
b
⇒
b
a
3
b
2
a
2
# ab:aaabbaa=bbb a/b bbb=aaabbaa aaabbaab=baaabbaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
