#2678 ⟨
a
,
b
|
ababa
=
aaaaa
⟩
Up:
Monoids with two generators and one relation
Prev:
#2677
⟨
a
,
b
|
abaab
=
abaaa
⟩
Next:
#2679
⟨
a
,
b
|
ababa
=
aaaab
⟩
Properties
Presentation has sum-of-sides 10
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
(
ba
)
2
⇒
a
5
ab
a
5
⇒
a
5
ba
# ab:ababa=aaaaa ab ababa=aaaaa abaaaaa=aaaaaba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
