#2479 ⟨
a
,
b
|
aabaab
=
aaaa
⟩
Up:
Monoids with two generators and one relation
Prev:
#2478
⟨
a
,
b
|
aaabbb
=
bbaa
⟩
Next:
#2480
⟨
a
,
b
|
aabaab
=
aaab
⟩
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
b
<
a
(
a
2
b
)
2
⇒
a
4
a
6
b
⇒
a
2
b
a
4
# ab:aabaab=aaaa ba aabaab=aaaa aaaaaab=aabaaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
