#2564 ⟨
a
,
b
|
abaaab
=
aaab
⟩
Up:
Monoids with two generators and one relation
Prev:
#2563
⟨
a
,
b
|
abaaab
=
aaaa
⟩
Next:
#2565
⟨
a
,
b
|
abaaab
=
aaba
⟩
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:
aaab=c
a
2
c
⇒
c
2
abc
⇒
c
a
3
b
⇒
c
# ab:abaaab=aaab abc aaab=c magic:0 aac=cc abc=c aaab=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
