#2305 ⟨
a
,
b
|
abaabab
=
aaa
⟩
Up:
Monoids with two generators and one relation
Prev:
#2304
⟨
a
,
b
|
abaaaba
=
bbb
⟩
Next:
#2306
⟨
a
,
b
|
abaabab
=
aab
⟩
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
(
aba
)
2
b
⇒
a
3
a
5
bab
⇒
ab
a
2
b
a
3
# ab:abaabab=aaa ba abaabab=aaa aaaaabab=abaabaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
