#2155 ⟨
a
,
b
|
aaabaaa
=
aba
⟩
Up:
Monoids with two generators and one relation
Prev:
#2154
⟨
a
,
b
|
aaabaaa
=
aab
⟩
Next:
#2156
⟨
a
,
b
|
aaabaaa
=
abb
⟩
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
a
3
⇒
aba
(
ab
)
2
a
3
⇒
a
3
(
ba
)
2
ab
a
2
b
a
3
⇒
a
(
a
2
b
)
2
a
# ab:aaabaaa=aba ab aaabaaa=aba ababaaa=aaababa abaabaaa=aaabaaba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
