#1132 ⟨
a
,
b
|
abbaab
=
baa
⟩
Up:
Monoids with two generators and one relation
Prev:
#1131
⟨
a
,
b
|
abbaab
=
aba
⟩
Next:
#1133
⟨
a
,
b
|
abbbba
=
aaa
⟩
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(
b
) = 0; deg(
c
) = deg(
a
) = 1,
c
<
a
Auxiliary generator:
baa=c
abcb
⇒
c
bac
⇒ (
cb
)
2
b
a
2
⇒
c
ab
c
2
⇒
c
a
2
# ab:abbaab=baa b/ca baa=c magic:0 abcb=c bac=cbcb baa=c abcc=caa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
