#5089 ⟨
a
,
b
|
aaa
=
bb
,
baab
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#5088
⟨
a
,
b
|
aaa
=
bb
,
baab
=
a
⟩
Next:
#5092
⟨
a
,
b
|
aaa
=
bb
,
bbbb
=
a
⟩
Properties
Presentation has sum-of-sides 10
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
9
⇒
b
2
a
b
2
⇒
b
5
b
2
a
⇒
b
5
b
a
2
b
⇒
b
a
3
⇒
b
2
# ab:aaa=bb,baab=b b/a bbbbbbbbb=bb abb=bbbbb bba=bbbbb baab=b aaa=bb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
