#444 ⟨
a
,
b
|
aabaab
=
ab
⟩
Up:
Monoids with two generators and one relation
Prev:
#443
⟨
a
,
b
|
aabaab
=
aa
⟩
Next:
#445
⟨
a
,
b
|
aabaab
=
ba
⟩
Properties
Presentation has sum-of-sides 8
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
a
(
ab
)
2
⇒
ab
a
2
b
(
a
2
b
)
2
⇒
ab
# ab:aabaab=ab ba aabab=abaab aabaab=ab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
