#20133 ⟨
a
,
b
|
aab
=
b
,
baba
=
bab
⟩
Up:
Monoids with two generators and two relations
Prev:
#20132
⟨
a
,
b
|
aab
=
b
,
baba
=
baa
⟩
Next:
#20134
⟨
a
,
b
|
aab
=
b
,
baba
=
bba
⟩
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
<
c
<
b
Auxiliary generator:
ba=c
cb
⇒
c
2
ba
⇒
c
a
2
c
⇒
c
a
2
b
⇒
b
cac
⇒
bc
cab
⇒
b
2
c
2
a
⇒
c
2
# ab:aab=b,baba=bab acb ba=c frequency:2/0 cb=cc ba=c aac=c aab=b cac=bc cab=bb cca=cc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
