#19758 ⟨
a
,
b
|
aba
=
b
,
baaab
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#19756
⟨
a
,
b
|
aba
=
b
,
baaab
=
aa
⟩
Next:
#19766
⟨
a
,
b
|
aba
=
b
,
babbb
=
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
⇒
b
b
2
a
⇒
a
b
2
a
2
b
2
⇒
bab
b
a
2
b
⇒
a
b
2
b
a
3
b
⇒
b
2
# ab:aba=b,baaab=bb ab aba=b bba=abb aabb=bab baab=abb baaab=bb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
