#1990 ⟨
a
,
b
|
aabbaabb
=
ab
⟩
Up:
Monoids with two generators and one relation
Prev:
#1989
⟨
a
,
b
|
aabbaabb
=
aa
⟩
Next:
#1991
⟨
a
,
b
|
aabbaabb
=
ba
⟩
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
b
2
⇒
a
2
b
2
ab
(
a
2
b
2
)
2
⇒
ab
# ab:aabbaabb=ab ab abaabb=aabbab aabbaabb=ab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
