#1756 ⟨
a
,
b
|
abaaabaab
=
b
⟩
Up:
Monoids with two generators and one relation
Prev:
#1755
⟨
a
,
b
|
abaaabaab
=
a
⟩
Next:
#1757
⟨
a
,
b
|
abaaababa
=
a
⟩
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
b
a
3
bab
⇒
ab
a
3
b
2
ba
(
a
2
b
)
2
⇒
a
2
b
a
3
b
2
(
a
3
b
)
2
b
⇒
b
# ab:abaaabaab=b ab baaabab=abaaabb baaabaab=aabaaabb aaabaaabb=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
