#1675 ⟨
a
,
b
|
aba
=
ab
,
bbb
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#1672
⟨
a
,
b
|
aba
=
ab
,
bba
=
a
⟩
Next:
#1677
⟨
a
,
b
|
aba
=
ba
,
baa
=
b
⟩
Properties
Presentation has sum-of-sides 9
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 shortlex with
a
<
b
aba
⇒
ab
b
3
⇒
b
a
b
2
a
⇒
a
b
2
# ab:aba=ab,bbb=b ab aba=ab bbb=b abba=abb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
