#15901 ⟨
a
,
b
|
aba
=
ab
,
bbbba
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#15897
⟨
a
,
b
|
aba
=
ab
,
bbbaa
=
a
⟩
Next:
#15904
⟨
a
,
b
|
aba
=
ab
,
bbbbb
=
b
⟩
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
a
b
5
⇒
ab
b
4
a
⇒
a
a
2
⇒
a
b
4
aba
⇒
ab
a
b
2
a
⇒
a
b
2
a
b
3
a
⇒
a
b
3
# ab:aba=ab,bbbba=a b/a abbbbb=ab bbbba=a aa=abbbb aba=ab abba=abb abbba=abbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
