#1255 ⟨
a
,
b
|
ababa
=
aaaa
⟩
Up:
Monoids with two generators and one relation
Prev:
#1254
⟨
a
,
b
|
abaab
=
bbbb
⟩
Next:
#1256
⟨
a
,
b
|
ababa
=
aaab
⟩
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
a
(
ba
)
2
⇒
a
4
ab
a
4
⇒
a
4
ba
# ab:ababa=aaaa ab ababa=aaaa abaaaa=aaaaba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
