#2432 ⟨
a
,
b
|
aaabaa
=
babb
⟩
Up:
Monoids with two generators and one relation
Prev:
#2431
⟨
a
,
b
|
aaabaa
=
baba
⟩
Next:
#2433
⟨
a
,
b
|
aaabaa
=
bbaa
⟩
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 recursive path with deg(
a
) = 0; deg(
b
) = 1
ba
b
2
⇒
a
3
b
a
2
(
a
3
b
)
2
b
⇒
b
(
ab
a
2
)
2
# ab:aaabaa=babb a/b babb=aaabaa aaabaaabb=babaaabaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
