#266 ⟨
a
,
b
|
abba
=
abb
⟩
Up:
Monoids with two generators and one relation
Prev:
#265
⟨
a
,
b
|
abba
=
aba
⟩
Next:
#267
⟨
a
,
b
|
abba
=
bab
⟩
Properties
Presentation has sum-of-sides 7
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:
abb=c
ca
⇒
c
a
b
2
⇒
c
c
b
2
⇒
c
2
# ab:abba=abb abc abb=c magic:0 ca=c abb=c cbb=cc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
