#12508 ⟨
a
,
b
|
abab
=
aa
,
babb
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#12500
⟨
a
,
b
|
abab
=
aa
,
abbb
=
a
⟩
Next:
#12512
⟨
a
,
b
|
abab
=
aa
,
bbab
=
a
⟩
Properties
Presentation has sum-of-sides 11
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
a
2
b
⇒
a
2
b
a
2
⇒
a
2
(
ab
)
2
⇒
a
2
(
ba
)
2
⇒
a
2
ba
b
2
⇒
a
# ab:abab=aa,babb=a ab aab=aa baa=aa abab=aa baba=aa babb=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
