#14526 ⟨
a
,
b
|
aaab
=
b
,
bbaba
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#14524
⟨
a
,
b
|
aaab
=
b
,
bbaab
=
b
⟩
Next:
#14527
⟨
a
,
b
|
aaab
=
b
,
bbabb
=
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
3
b
⇒
b
b
a
3
⇒
b
b
2
ab
⇒
b
a
2
b
(
ab
)
2
⇒
b
ba
(
ab
)
2
⇒
ba
# ab:aaab=b,bbaba=b ab aaab=b baaa=b bbab=baa babab=b baabab=ba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
