#6712 ⟨
a
,
b
|
aab
=
b
,
bbaa
=
ba
⟩
Up:
Monoids with two generators and two relations
Prev:
#6710
⟨
a
,
b
|
aab
=
b
,
bbaa
=
aa
⟩
Next:
#6713
⟨
a
,
b
|
aab
=
b
,
bbaa
=
bb
⟩
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
b
<
a
bab
⇒
b
3
b
a
2
⇒
b
2
a
a
2
b
⇒
b
b
4
⇒
b
2
b
3
a
⇒
ba
# ab:aab=b,bbaa=ba ba bab=bbb baa=bba aab=b bbbb=bb bbba=ba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
