#2049 ⟨
a
,
b
|
ababaaab
=
aa
⟩
Up:
Monoids with two generators and one relation
Prev:
#2048
⟨
a
,
b
|
abaabbba
=
bb
⟩
Next:
#2050
⟨
a
,
b
|
ababaaab
=
ab
⟩
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:
Right-to-left recursive path with deg(
b
) = deg(
c
) = 0,
b
<
c
; deg(
a
) = 1
Auxiliary generator:
ab=c
ab
⇒
c
c
2
a
2
c
⇒
a
2
a
4
c
⇒
c
4
a
4
(
a
2
c
)
2
⇒
c
2
a
4
# ab:ababaaab=aa reversed:bc/a ab=c frequency:2/0 ab=c ccaac=aa aaaac=ccccaaaa aacaac=ccaaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
