#2033 ⟨
a
,
b
|
abaaabba
=
bb
⟩
Up:
Monoids with two generators and one relation
Prev:
#2032
⟨
a
,
b
|
abaaabba
=
ba
⟩
Next:
#2034
⟨
a
,
b
|
abaabaab
=
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
ab
a
3
b
2
a
⇒
b
2
b
3
a
3
b
2
a
⇒
ab
a
3
b
4
# ab:abaaabba=bb ab abaaabba=bb bbbaaabba=abaaabbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
