#469 ⟨
a
,
b
|
abaaba
=
aa
⟩
Up:
Monoids with two generators and one relation
Prev:
#468
⟨
a
,
b
|
abaaab
=
bb
⟩
Next:
#470
⟨
a
,
b
|
abaaba
=
ab
⟩
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
ab
a
3
⇒
a
3
ba
(
aba
)
2
⇒
a
2
# ab:abaaba=aa ab abaaa=aaaba abaaba=aa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
