#1669 ⟨
a
,
b
|
aabaaabaa
=
a
⟩
Up:
Monoids with two generators and one relation
Prev:
#1668
⟨
a
,
b
|
aabaaaabb
=
b
⟩
Next:
#1670
⟨
a
,
b
|
aabaaabaa
=
b
⟩
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
(
ab
a
2
)
2
⇒ (
a
2
ba
)
2
(
a
3
b
)
2
a
⇒
a
# ab:aabaaabaa=a ab abaaabaa=aabaaaba aaabaaaba=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
