#13118 ⟨
a
,
b
|
bbb
=
aaa
,
abba
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#13115
⟨
a
,
b
|
bbb
=
aaa
,
aaba
=
b
⟩
Next:
#13119
⟨
a
,
b
|
bbb
=
aaa
,
abba
=
b
⟩
Properties
Presentation has sum-of-sides 11
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
a
12
⇒
a
3
b
a
3
⇒
a
7
a
3
b
⇒
a
7
a
b
2
a
⇒
a
b
3
⇒
a
3
# ab:bbb=aaa,abba=a a/b aaaaaaaaaaaa=aaa baaa=aaaaaaa aaab=aaaaaaa abba=a bbb=aaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
