#12637 ⟨
a
,
b
|
babb
=
ba
,
bbbb
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#12635
⟨
a
,
b
|
babb
=
ab
,
bbbb
=
b
⟩
Next:
#12671
⟨
a
,
b
|
aab
=
aaa
,
bbbbb
=1⟩
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
c
<
a
<
b
Auxiliary generator:
ba=c
ca
⇒
c
2
cb
⇒
c
ba
⇒
c
b
3
c
⇒
c
b
4
⇒
b
# ab:babb=ba,bbbb=b cab ba=c frequency:2/1 ca=cc cb=c ba=c bbbc=c bbbb=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
