#13174 ⟨
a
,
b
|
aba
=
aab
,
bbb
=
aa
⟩
Up:
Monoids with two generators and two relations
Prev:
#13173
⟨
a
,
b
|
aba
=
aab
,
bba
=
bb
⟩
Next:
#13175
⟨
a
,
b
|
aba
=
aab
,
bbb
=
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
3
⇒
a
b
4
b
3
a
⇒
a
b
3
a
2
⇒
b
3
aba
⇒
b
4
# ab:aba=aab,bbb=aa b/a babbb=abbbb bbba=abbb aa=bbb aba=bbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
