#13154 ⟨
a
,
b
|
aba
=
aaa
,
bab
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#13153
⟨
a
,
b
|
aba
=
aaa
,
bab
=
ab
⟩
Next:
#13155
⟨
a
,
b
|
aba
=
aaa
,
bbb
=
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(
a
) = 0; deg(
b
) = 1
aba
⇒
a
3
b
2
a
⇒
b
a
3
bab
⇒
b
2
a
b
2
⇒
a
3
b
b
3
⇒
b
a
3
b
# ab:aba=aaa,bab=bb a/b aba=aaa bba=baaa bab=bb abb=aaab bbb=baaab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
