#24142 ⟨
a
,
b
|
aa
=
a
,
abbbbab
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#24140
⟨
a
,
b
|
aa
=
a
,
abbbabb
=
a
⟩
Next:
#24144
⟨
a
,
b
|
aa
=
a
,
abbbbba
=
a
⟩
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
2
⇒
a
aba
⇒
ab
a
b
2
a
⇒
a
b
2
a
b
3
a
⇒
a
b
3
a
b
4
a
⇒
a
b
4
a
b
5
⇒
a
# ab:aa=a,abbbbab=a ab aa=a aba=ab abba=abb abbba=abbb abbbba=abbbb abbbbb=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
