#2091 ⟨
a
,
b
|
aaaaaaa
=
aaa
⟩
Up:
Monoids with two generators and one relation
Prev:
#2090
⟨
a
,
b
|
abbbbbba
=
bb
⟩
Next:
#2092
⟨
a
,
b
|
aaaaaaa
=
aab
⟩
Properties
Presentation has sum-of-sides 10
Isomorphic to ℕ
(7 = 3)
∗ ℕ
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
7
⇒
a
3
# ab:aaaaaaa=aaa ab aaaaaaa=aaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
