#12153 ⟨
a
,
b
|
aaaa
=
aa
,
aabb
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#12151
⟨
a
,
b
|
aaaa
=
aa
,
aaba
=
b
⟩
Next:
#12156
⟨
a
,
b
|
aaaa
=
aa
,
abba
=
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
b
2
⇒
b
a
2
b
⇒
b
a
4
⇒
a
2
# ab:aaaa=aa,aabb=b ab bb=b aab=b aaaa=aa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
