#10807 ⟨
a
,
b
|
aaba
=
aab
,
bbbb
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#10794
⟨
a
,
b
|
aaba
=
aaa
,
bbbb
=1⟩
Next:
#10820
⟨
a
,
b
|
aaba
=
aba
,
bbbb
=1⟩
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
3
⇒
a
2
a
2
ba
⇒
a
2
b
b
4
⇒ 1
a
2
b
2
a
⇒
a
2
b
2
a
2
b
3
a
⇒
a
2
b
3
# ab:aaba=aab,bbbb=1 ab aaa=aa aaba=aab bbbb=1 aabba=aabb aabbba=aabbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
