#5041 ⟨
a
,
b
|
aaa
=
aa
,
bbbb
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#5040
⟨
a
,
b
|
aaa
=
aa
,
bbbb
=
a
⟩
Next:
#5048
⟨
a
,
b
|
aaa
=
ab
,
aabb
=
a
⟩
Properties
Presentation has sum-of-sides 10
Isomorphic to ℕ
(3 = 2)
∗ ℕ
(4 = 1)
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
a
3
⇒
a
2
b
4
⇒
b
# ab:aaa=aa,bbbb=b ab aaa=aa bbbb=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
