#1810 ⟨
a
,
b
|
abbababba
=
b
⟩
Up:
Monoids with two generators and one relation
Prev:
#1809
⟨
a
,
b
|
abbababba
=
a
⟩
Next:
#1811
⟨
a
,
b
|
abbabbbba
=
a
⟩
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:
abba=c
cbc
⇒
b
a
b
2
a
⇒
c
a
b
2
c
⇒
b
2
ca
c
b
2
⇒
b
2
c
a
b
3
⇒
b
2
cabc
# ab:abbababba=b ac/b abba=c frequency:4/0 cbc=b abba=c abbc=bbca cbb=bbc abbb=bbcabc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
