#16548 ⟨
a
,
b
|
aba
=
bb
,
baa
=
aba
⟩
Up:
Monoids with two generators and two relations
Prev:
#16547
⟨
a
,
b
|
aba
=
bb
,
baa
=
aab
⟩
Next:
#16549
⟨
a
,
b
|
aba
=
bb
,
bab
=
aaa
⟩
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
b
<
a
b
a
2
⇒
b
2
a
b
2
⇒
b
2
a
aba
⇒
b
2
b
2
ab
⇒
b
3
a
# ab:aba=bb,baa=aba ba baa=bb abb=bba aba=bb bbab=bbba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
