#504 ⟨
a
,
b
|
aaaba
=
bab
⟩
Up:
Monoids with two generators and one relation
Prev:
#503
⟨
a
,
b
|
aaaba
=
baa
⟩
Next:
#505
⟨
a
,
b
|
aaaba
=
bba
⟩
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 recursive path with deg(
a
) = 0; deg(
b
) = 1
bab
⇒
a
3
ba
a
(
a
2
b
)
2
⇒
b
a
4
ba
# ab:aaaba=bab a/b bab=aaaba aaabaab=baaaaba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
