#25698 ⟨
a
,
b
|
aa
=
a
,
baba
=
abab
⟩
Up:
Monoids with two generators and two relations
Prev:
#25685
⟨
a
,
b
|
aa
=
a
,
abbb
=
abba
⟩
Next:
#25699
⟨
a
,
b
|
aa
=
a
,
baba
=
abbb
⟩
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:
ab=c
a
2
⇒
a
ac
⇒
c
ab
⇒
c
c
2
a
⇒
c
2
c
2
b
⇒
c
3
bca
⇒
c
2
b
c
2
⇒
c
3
# ab:aa=a,baba=abab acb ab=c frequency:2/1 aa=a ac=c ab=c cca=cc ccb=ccc bca=cc bcc=ccc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
