#520 ⟨
a
,
b
|
aabaa
=
bbb
⟩
Up:
Monoids with two generators and one relation
Prev:
#519
⟨
a
,
b
|
aabaa
=
bab
⟩
Next:
#521
⟨
a
,
b
|
aabab
=
aaa
⟩
Properties
Presentation has sum-of-sides 8
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
a
2
⇒
b
3
b
4
a
2
⇒
a
2
b
4
b
3
ab
a
2
⇒
a
2
ba
b
3
# ab:aabaa=bbb ab aabaa=bbb bbbbaa=aabbbb bbbabaa=aababbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
