#843 ⟨
a
,
b
|
abaabbab
=
a
⟩
Up:
Monoids with two generators and one relation
Prev:
#842
⟨
a
,
b
|
abaababa
=
b
⟩
Next:
#844
⟨
a
,
b
|
abaabbba
=
a
⟩
Properties
Presentation has sum-of-sides 9
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
b
2
a
⇒
a
3
b
2
ab
a
2
(
a
b
2
)
2
⇒
a
# ab:abaabbab=a ab abaabba=aaabbab aaabbabb=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
