#483 ⟨
a
,
b
|
abbbba
=
ab
⟩
Up:
Monoids with two generators and one relation
Prev:
#482
⟨
a
,
b
|
abbbba
=
aa
⟩
Next:
#484
⟨
a
,
b
|
abbbba
=
bb
⟩
Properties
Presentation has sum-of-sides 8
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
<
b
<
a
Auxiliary generator:
abbbb=c
cb
⇒
c
2
ab
⇒
ca
c
4
a
⇒
c
# ab:abbbba=ab cba abbbb=c frequency:5/0 cb=cc ab=ca cccca=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
