#589 ⟨
a
,
b
|
baba
=
abab
⟩
Up:
Monoids with two generators and one relation
Prev:
#588
⟨
a
,
b
|
baba
=
aabb
⟩
Next:
#590
⟨
a
,
b
|
babb
=
aaaa
⟩
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
a
<
b
<
c
Auxiliary generator:
abab=c
ca
⇒
ac
cb
⇒
bc
(
ab
)
2
⇒
c
(
ba
)
2
⇒
c
# ab:baba=abab abc abab=c magic:0 ca=ac cb=bc abab=c baba=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
