#6747 ⟨
a
,
b
|
aba
=
a
,
abba
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#6746
⟨
a
,
b
|
aba
=
a
,
abba
=
ab
⟩
Next:
#6748
⟨
a
,
b
|
aba
=
a
,
abbb
=
aa
⟩
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
b
2
a
⇒
b
3
a
b
2
⇒
b
3
aba
⇒
a
b
4
⇒
b
2
# ab:aba=a,abba=bb ba bba=bbb abb=bbb aba=a bbbb=bb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
