#24675 ⟨
a
,
b
|
aa
=
a
,
abbabb
=
ba
⟩
Up:
Monoids with two generators and two relations
Prev:
#24674
⟨
a
,
b
|
aa
=
a
,
abbabb
=
ab
⟩
Next:
#24678
⟨
a
,
b
|
aa
=
a
,
abbbab
=
ab
⟩
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
6
⇒
ba
b
2
a
⇒
ba
b
4
a
2
⇒
a
aba
⇒
ba
# ab:aa=a,abbabb=ba b/a babbbbbb=ba bba=babbbb aa=a aba=ba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
