#2621 ⟨
a
,
b
|
abbaab
=
abba
⟩
Up:
Monoids with two generators and one relation
Prev:
#2620
⟨
a
,
b
|
abbaab
=
abab
⟩
Next:
#2622
⟨
a
,
b
|
abbaab
=
baaa
⟩
Properties
Presentation has sum-of-sides 10
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:
abba=c
cab
⇒
c
cba
⇒
c
2
a
b
2
a
⇒
c
c
b
2
a
⇒
a
b
2
c
# ab:abbaab=abba abc abba=c magic:0 cab=c cba=cc abba=c cbba=abbc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
