#2742 ⟨
a
,
b
|
baaab
=
aaaba
⟩
Up:
Monoids with two generators and one relation
Prev:
#2741
⟨
a
,
b
|
baaab
=
aaaaa
⟩
Next:
#2743
⟨
a
,
b
|
baaab
=
aabaa
⟩
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:
Right-to-left shortlex with
b
<
a
a
3
ba
⇒
b
a
3
b
b
3
a
3
b
2
a
⇒
a
3
b
2
a
3
b
# ab:baaab=aaaba reversed:ba aaaba=baaab bbbaaabba=aaabbaaab
Right Cayley graph (truncated)
Left Cayley graph (truncated)