#19264 ⟨
a
,
b
|
aaa
=
a
,
abaab
=
ba
⟩
Up:
Monoids with two generators and two relations
Prev:
#19263
⟨
a
,
b
|
aaa
=
a
,
abaab
=
ab
⟩
Next:
#19265
⟨
a
,
b
|
aaa
=
a
,
abaab
=
bb
⟩
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
ba
b
3
⇒
ba
b
2
a
⇒
ba
b
2
b
a
2
⇒
aba
b
2
(
ba
)
2
⇒ (
ab
)
2
a
3
⇒
a
a
2
ba
⇒
ba
# ab:aaa=a,abaab=ba b/a babbb=ba bba=babb baa=ababb baba=abab aaa=a aaba=ba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
