#1170 ⟨
a
,
b
|
aaaba
=
abab
⟩
Up:
Monoids with two generators and one relation
Prev:
#1169
⟨
a
,
b
|
aaaba
=
abaa
⟩
Next:
#1171
⟨
a
,
b
|
aaaba
=
abba
⟩
Properties
Presentation has sum-of-sides 9
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
(
ab
)
2
⇒
a
3
ba
a
(
a
2
b
)
2
⇒
ab
a
3
ba
# ab:aaaba=abab a/b abab=aaaba aaabaab=abaaaba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
