#16380 ⟨
a
,
b
|
aba
=
ab
,
aaab
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#16379
⟨
a
,
b
|
aba
=
ab
,
aaab
=
ba
⟩
Next:
#16385
⟨
a
,
b
|
aba
=
ab
,
aabb
=
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 shortlex with
a
<
b
aba
⇒
ab
b
2
a
⇒
b
2
a
3
b
⇒
b
2
a
b
3
⇒
a
b
2
b
4
⇒
b
3
# ab:aba=ab,aaab=bb ab aba=ab bba=bb aaab=bb abbb=abb bbbb=bbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
