#2077 ⟨
a
,
b
|
abbaabba
=
bb
⟩
Up:
Monoids with two generators and one relation
Prev:
#2076
⟨
a
,
b
|
abbaabba
=
ab
⟩
Next:
#2078
⟨
a
,
b
|
abbabaab
=
aa
⟩
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:
bba=c
c
2
a
⇒
a
c
2
a
(
ca
)
2
⇒
c
c
2
b
⇒
acb
(
ac
)
2
(
ac
)
2
b
⇒
b
(
ac
)
2
b
2
⇒ (
ac
)
2
# ab:abbaabba=bb ac/b bba=c frequency:3/0 cca=acc acaca=c ccb=acbacac acacb=bacac bb=acac
Right Cayley graph (truncated)
Left Cayley graph (truncated)
