#13190 ⟨
a
,
b
|
abb
=
aaa
,
bbb
=
aa
⟩
Up:
Monoids with two generators and two relations
Prev:
#13189
⟨
a
,
b
|
abb
=
aaa
,
bba
=
bb
⟩
Next:
#13191
⟨
a
,
b
|
abb
=
aaa
,
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:
Right-to-left recursive path with deg(
b
) = 0; deg(
a
) = 1
b
6
⇒
b
5
b
4
a
⇒
b
3
a
b
3
ab
⇒
b
3
a
a
b
2
⇒
b
3
a
a
2
⇒
b
3
# ab:abb=aaa,bbb=aa reversed:b/a bbbbbb=bbbbb bbbba=bbba bbbab=bbba abb=bbba aa=bbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
