#2338 ⟨
a
,
b
|
ababbba
=
abb
⟩
Up:
Monoids with two generators and one relation
Prev:
#2337
⟨
a
,
b
|
ababbba
=
aba
⟩
Next:
#2339
⟨
a
,
b
|
ababbba
=
baa
⟩
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 recursive path with deg(
a
) = deg(
c
) = 0,
a
<
c
; deg(
b
) = 1
Auxiliary generator:
abb=c
a
b
2
⇒
c
abcba
⇒
c
c
b
2
⇒
a
(
bc
)
2
(
cb
)
2
a
⇒
a
(
bc
)
2
# ab:ababbba=abb ac/b abb=c magic:0 abb=c abcba=c cbb=abcbc cbcba=abcbc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
