#2172 ⟨
a
,
b
|
aaababa
=
bab
⟩
Up:
Monoids with two generators and one relation
Prev:
#2171
⟨
a
,
b
|
aaababa
=
baa
⟩
Next:
#2173
⟨
a
,
b
|
aaababa
=
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
b
<
a
a
3
(
ba
)
2
⇒
bab
a
3
(
bab
)
2
⇒
b
(
aba
)
2
ba
# ab:aaababa=bab ba aaababa=bab aaababbab=babaababa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
