#14494 ⟨
a
,
b
|
aaab
=
b
,
ababa
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#14493
⟨
a
,
b
|
aaab
=
b
,
ababa
=
a
⟩
Next:
#14496
⟨
a
,
b
|
aaab
=
b
,
ababb
=
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
b
5
⇒
b
ba
b
4
⇒
ba
b
2
a
⇒
a
b
2
b
a
2
⇒ (
ab
)
2
(
ba
)
2
⇒
a
2
b
a
3
b
⇒
b
# ab:aaab=b,ababa=b b/a bbbbb=b babbbb=ba bba=abb baa=abab baba=aab aaab=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
