#2234 ⟨
a
,
b
|
aababaa
=
abb
⟩
Up:
Monoids with two generators and one relation
Prev:
#2233
⟨
a
,
b
|
aababaa
=
aba
⟩
Next:
#2235
⟨
a
,
b
|
aababaa
=
bab
⟩
Properties
Presentation has sum-of-sides 10
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
) = deg(
c
) = 1,
b
<
c
Auxiliary generator:
abb=c
a
b
2
⇒
c
a
(
ab
)
2
a
2
⇒
c
c
b
2
⇒
a
2
(
ba
)
2
c
cbab
a
2
⇒
a
(
ab
)
2
c
c
(
ab
)
2
a
2
⇒
a
2
(
ba
)
2
c
# ab:aababaa=abb a/bc abb=c magic:0 abb=c aababaa=c cbb=aababac cbabaa=aababc cababaa=aababac
Right Cayley graph (truncated)
Left Cayley graph (truncated)
