#15874 ⟨
a
,
b
|
aba
=
ab
,
baaaa
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#15848
⟨
a
,
b
|
aba
=
ab
,
aaabb
=
b
⟩
Next:
#15895
⟨
a
,
b
|
aba
=
ab
,
bbabb
=
a
⟩
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
b
a
4
⇒
b
# ab:aba=ab,baaaa=b ab aba=ab bba=bb baaaa=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
