#1616 ⟨
a
,
b
|
aab
=
aa
,
bab
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#1615
⟨
a
,
b
|
aab
=
aa
,
baa
=
b
⟩
Next:
#1617
⟨
a
,
b
|
aab
=
aa
,
bab
=
b
⟩
Properties
Presentation has sum-of-sides 9
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
bab
⇒
a
# ab:aab=aa,bab=a ab aab=aa baa=aa bab=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
