#124 ⟨
a
,
b
|
bbb
=
aaa
⟩
Up:
Monoids with two generators and one relation
Prev:
#123
⟨
a
,
b
|
bab
=
aba
⟩
Next:
#125
⟨
a
,
b
|
aaaaaaa
=1⟩
Properties
Presentation has sum-of-sides 6
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
a
<
b
b
3
⇒
a
3
b
a
3
⇒
a
3
b
# ab:bbb=aaa ab bbb=aaa baaa=aaab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
