#12378 ⟨
a
,
b
|
aaba
=
ba
,
aabb
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#12377
⟨
a
,
b
|
aaba
=
ab
,
bbbb
=
b
⟩
Next:
#12386
⟨
a
,
b
|
aaba
=
ba
,
abbb
=
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
b
<
a
b
2
a
⇒
a
2
a
b
2
⇒
a
2
aba
⇒
b
a
2
a
3
⇒
a
# ab:aaba=ba,aabb=a ba bba=aa abb=aa aba=baa aaa=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
