#6424 ⟨
a
,
b
|
aab
=
b
,
babab
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#6423
⟨
a
,
b
|
aab
=
b
,
babaa
=
b
⟩
Next:
#6425
⟨
a
,
b
|
aab
=
b
,
babab
=
b
⟩
Properties
Presentation has sum-of-sides 10
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
⇒
a
a
2
b
⇒
b
b
a
2
⇒
b
b
(
ab
)
2
⇒
a
# ab:aab=b,babab=a ab aaa=a aab=b baa=b babab=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
