#14514 ⟨
a
,
b
|
aaab
=
b
,
babaa
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#14512
⟨
a
,
b
|
aaab
=
b
,
baabb
=
b
⟩
Next:
#14516
⟨
a
,
b
|
aaab
=
b
,
babab
=
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(
a
) = 0; deg(
b
) = 1
b
a
6
⇒
b
a
3
b
⇒
b
b
2
⇒
b
bab
⇒
b
a
4
b
a
2
b
⇒
b
a
2
# ab:aaab=b,babaa=b a/b baaaaaa=b aaab=b bb=b bab=baaaa baab=baa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
