#358 ⟨
a
,
b
|
aaabaaa
=
b
⟩
Up:
Monoids with two generators and one relation
Prev:
#356
⟨
a
,
b
|
aaaabbb
=
b
⟩
Next:
#359
⟨
a
,
b
|
aaabaab
=
a
⟩
Properties
Presentation has sum-of-sides 8
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
b
2
a
3
⇒
a
3
b
2
bab
a
3
⇒
a
3
bab
a
3
b
a
3
⇒
b
b
a
2
b
a
3
⇒
a
(
a
2
b
)
2
# ab:aaabaaa=b ab bbaaa=aaabb babaaa=aaabab aaabaaa=b baabaaa=aaabaab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
