#1663 ⟨
a
,
b
|
aba
=
aa
,
bab
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#1662
⟨
a
,
b
|
aba
=
aa
,
bab
=
a
⟩
Next:
#1665
⟨
a
,
b
|
aba
=
aa
,
bbb
=
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
a
3
⇒
a
2
a
2
b
⇒
ab
aba
⇒
a
2
b
a
2
⇒
ba
bab
⇒
b
# ab:aba=aa,bab=b ab aaa=aa aab=ab aba=aa baa=ba bab=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
