#13265 ⟨
a
,
b
|
bab
=
abb
,
bbb
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#13264
⟨
a
,
b
|
bab
=
abb
,
bbb
=
ba
⟩
Next:
#13266
⟨
a
,
b
|
bab
=
baa
,
bba
=
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
b
<
c
<
a
Auxiliary generator:
ab=c
cb
⇒
bc
ab
⇒
c
b
3
⇒
b
2
b
2
c
⇒
bc
b
c
2
⇒
c
2
a
c
2
⇒
c
3
# ab:bab=abb,bbb=bb bca ab=c frequency:2/0 cb=bc ab=c bbb=bb bbc=bc bcc=cc acc=ccc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
