#1007 ⟨
a
,
b
|
aaaaaa
=
bab
⟩
Up:
Monoids with two generators and one relation
Prev:
#1006
⟨
a
,
b
|
aaaaaa
=
abb
⟩
Next:
#1008
⟨
a
,
b
|
aaaaaa
=
bbb
⟩
Properties
Presentation has sum-of-sides 9
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
) = 0; deg(
b
) = 1
a
7
b
⇒
b
a
7
bab
⇒
a
6
# ab:aaaaaa=bab a/b aaaaaaab=baaaaaaa bab=aaaaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
