#34 ⟨
a
,
b
|
aaaa
=
a
⟩
Up:
Monoids with two generators and one relation
Prev:
#33
⟨
a
,
b
|
abbba
=1⟩
Next:
#36
⟨
a
,
b
|
aaab
=
a
⟩
Properties
Presentation has sum-of-sides 5
Isomorphic to ℕ
(4 = 1)
∗ 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
4
⇒
a
# ab:aaaa=a ab aaaa=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
