#544 ⟨
a
,
b
|
abaab
=
bbb
⟩
Up:
Monoids with two generators and one relation
Prev:
#543
⟨
a
,
b
|
abaab
=
bba
⟩
Next:
#545
⟨
a
,
b
|
ababa
=
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
b
<
a
ab
a
2
b
⇒
b
3
aba
b
3
⇒
b
3
a
2
b
# ab:abaab=bbb ba abaab=bbb ababbb=bbbaab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
