#16291 ⟨
a
,
b
|
aab
=
bb
,
abaa
=
ba
⟩
Up:
Monoids with two generators and two relations
Prev:
#16290
⟨
a
,
b
|
aab
=
bb
,
abaa
=
ab
⟩
Next:
#16292
⟨
a
,
b
|
aab
=
bb
,
abaa
=
bb
⟩
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 recursive path with deg(
b
) = 0; deg(
a
) = 1
b
4
⇒
b
3
bab
⇒
a
b
3
b
2
a
⇒
ba
a
2
b
⇒
b
2
b
a
2
⇒
aba
# ab:aab=bb,abaa=ba b/a bbbb=bbb bab=abbb bba=ba aab=bb baa=aba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
