#900 ⟨
a
,
b
|
aaabaaa
=
bb
⟩
Up:
Monoids with two generators and one relation
Prev:
#899
⟨
a
,
b
|
aaabaaa
=
ab
⟩
Next:
#901
⟨
a
,
b
|
aaabaab
=
aa
⟩
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
b
3
a
3
⇒
a
3
b
3
a
3
b
a
3
⇒
b
2
b
2
ab
a
3
⇒
a
3
ba
b
2
b
2
a
2
b
a
3
⇒
a
3
b
a
2
b
2
# ab:aaabaaa=bb ab bbbaaa=aaabbb aaabaaa=bb bbabaaa=aaababb bbaabaaa=aaabaabb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
