#2745 ⟨
a
,
b
|
baaab
=
ababa
⟩
Up:
Monoids with two generators and one relation
Prev:
#2744
⟨
a
,
b
|
baaab
=
aabba
⟩
Next:
#2746
⟨
a
,
b
|
baaab
=
abbba
⟩
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:
ababa=c
cba
⇒
abc
c
a
2
b
⇒
abac
caba
⇒
b
a
2
c
a
(
ba
)
2
⇒
c
b
a
3
b
⇒
c
c
a
3
b
⇒
b
a
3
c
# ab:baaab=ababa abc ababa=c magic:0 cba=abc caab=abac caba=baac ababa=c baaab=c caaab=baaac
Right Cayley graph (truncated)
Left Cayley graph (truncated)
