#1608 ⟨
a
,
b
|
aaaabbbba
=
b
⟩
Up:
Monoids with two generators and one relation
Prev:
#1607
⟨
a
,
b
|
aaaabbbba
=
a
⟩
Next:
#1609
⟨
a
,
b
|
aaabaaaab
=
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 shortlex with
b
<
a
a
4
b
5
⇒
b
a
3
b
4
a
a
4
b
4
a
⇒
b
# ab:aaaabbbba=b ba aaaabbbbb=baaabbbba aaaabbbba=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
