#1001 ⟨
a
,
b
|
abbbbba
=
ab
⟩
Up:
Monoids with two generators and one relation
Prev:
#1000
⟨
a
,
b
|
abbbbba
=
aa
⟩
Next:
#1002
⟨
a
,
b
|
abbbbba
=
bb
⟩
Properties
Presentation has sum-of-sides 9
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:
abbbbb=c
cb
⇒
c
2
ab
⇒
ca
c
5
a
⇒
c
# ab:abbbbba=ab cba abbbbb=c frequency:6/0 cb=cc ab=ca ccccca=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
