#1150 ⟨
a
,
b
|
aaaab
=
aaab
⟩
Up:
Monoids with two generators and one relation
Prev:
#1149
⟨
a
,
b
|
aaaab
=
aaaa
⟩
Next:
#1151
⟨
a
,
b
|
aaaab
=
aaba
⟩
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 shortlex with
a
<
b
a
4
b
⇒
a
3
b
# ab:aaaab=aaab ab aaaab=aaab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
