#566 ⟨
a
,
b
|
abab
=
aaaa
⟩
Up:
Monoids with two generators and one relation
Prev:
#565
⟨
a
,
b
|
abaa
=
aabb
⟩
Next:
#567
⟨
a
,
b
|
abab
=
aaab
⟩
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 recursive path with deg(
a
) = 0; deg(
b
) = 1
a
5
b
⇒
ab
a
4
(
ab
)
2
⇒
a
4
# ab:abab=aaaa a/b aaaaab=abaaaa abab=aaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
