#2188 ⟨
a
,
b
|
aaabbaa
=
bab
⟩
Up:
Monoids with two generators and one relation
Prev:
#2187
⟨
a
,
b
|
aaabbaa
=
baa
⟩
Next:
#2189
⟨
a
,
b
|
aaabbaa
=
bba
⟩
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
3
b
2
a
2
⇒
bab
(
ba
)
2
b
2
a
2
⇒
a
3
b
3
ab
bab
a
2
b
2
a
2
⇒
a
3
b
2
(
ab
)
2
# ab:aaabbaa=bab ab aaabbaa=bab bababbaa=aaabbbab babaabbaa=aaabbabab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
