#1302 ⟨
a
,
b
|
baa
=
aab
,
bbb
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#1288
⟨
a
,
b
|
aba
=
aab
,
bbb
=1⟩
Next:
#1307
⟨
a
,
b
|
bab
=
aaa
,
bbb
=1⟩
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
a
<
b
b
a
2
⇒
a
2
b
b
3
⇒ 1
# ab:baa=aab,bbb=1 ab baa=aab bbb=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
