#13214 ⟨
a
,
b
|
abb
=
aba
,
bba
=
aa
⟩
Up:
Monoids with two generators and two relations
Prev:
#13213
⟨
a
,
b
|
abb
=
aba
,
bab
=
bb
⟩
Next:
#13215
⟨
a
,
b
|
abb
=
aba
,
bba
=
ab
⟩
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
b
<
a
b
2
a
⇒
a
2
aba
⇒
a
b
2
a
b
4
⇒
a
3
a
3
b
2
⇒
a
4
# ab:abb=aba,bba=aa ba bba=aa aba=abb abbbb=aaa aaabb=aaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
