#506 ⟨
a
,
b
|
aaaba
=
bbb
⟩
Up:
Monoids with two generators and one relation
Prev:
#505
⟨
a
,
b
|
aaaba
=
bba
⟩
Next:
#507
⟨
a
,
b
|
aaabb
=
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
3
ba
⇒
b
3
b
3
a
2
ba
⇒
a
3
b
4
# ab:aaaba=bbb ab aaaba=bbb bbbaaba=aaabbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
