#2010 ⟨
a
,
b
|
aabbbbaa
=
bb
⟩
Up:
Monoids with two generators and one relation
Prev:
#2009
⟨
a
,
b
|
aabbbbaa
=
ab
⟩
Next:
#2011
⟨
a
,
b
|
aabbbbab
=
aa
⟩
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
a
<
b
a
2
b
4
a
2
⇒
b
2
b
6
a
2
⇒
a
2
b
6
b
2
a
b
4
a
2
⇒
a
2
b
4
a
b
2
# ab:aabbbbaa=bb ab aabbbbaa=bb bbbbbbaa=aabbbbbb bbabbbbaa=aabbbbabb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
