#16073 ⟨
a
,
b
|
aaa
=
bb
,
baab
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#16071
⟨
a
,
b
|
aaa
=
bb
,
baab
=
aa
⟩
Next:
#16078
⟨
a
,
b
|
aaa
=
bb
,
bbbb
=
aa
⟩
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
7
⇒
b
3
a
b
3
⇒
b
5
ba
b
2
⇒
b
5
b
2
a
⇒
a
b
2
b
a
2
b
⇒
b
2
a
3
⇒
b
2
# ab:aaa=bb,baab=bb b/a bbbbbbb=bbb abbb=bbbbb babb=bbbbb bba=abb baab=bb aaa=bb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
