#13209 ⟨
a
,
b
|
abb
=
aba
,
baa
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#13208
⟨
a
,
b
|
abb
=
aba
,
baa
=
ba
⟩
Next:
#13210
⟨
a
,
b
|
abb
=
aba
,
bab
=
aa
⟩
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
b
2
⇒
aba
b
a
2
⇒
b
2
(
ab
)
2
⇒
aba
b
4
⇒
b
3
a
b
3
ab
⇒
b
3
a
# ab:abb=aba,baa=bb ab abb=aba baa=bb abab=aba bbbb=bbba bbbab=bbba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
