#108 ⟨
a
,
b
|
abab
=
aa
⟩
Up:
Monoids with two generators and one relation
Prev:
#107
⟨
a
,
b
|
aabb
=
ba
⟩
Next:
#109
⟨
a
,
b
|
abab
=
ab
⟩
Properties
Presentation has sum-of-sides 6
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
(
ab
)
2
⇒
a
2
a
3
b
⇒
ab
a
2
# ab:abab=aa ba abab=aa aaab=abaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
