#1271 ⟨
a
,
b
|
abbba
=
abbb
⟩
Up:
Monoids with two generators and one relation
Prev:
#1270
⟨
a
,
b
|
abbba
=
abba
⟩
Next:
#1272
⟨
a
,
b
|
abbba
=
baab
⟩
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
a
<
b
<
c
Auxiliary generator:
abbb=c
ca
⇒
c
a
b
3
⇒
c
c
b
3
⇒
c
2
# ab:abbba=abbb abc abbb=c magic:0 ca=c abbb=c cbbb=cc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
