#213 ⟨
a
,
b
|
aabaa
=
ab
⟩
Up:
Monoids with two generators and one relation
Prev:
#212
⟨
a
,
b
|
aabaa
=
aa
⟩
Next:
#214
⟨
a
,
b
|
aabaa
=
bb
⟩
Properties
Presentation has sum-of-sides 7
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
) = deg(
c
) = 0,
a
<
c
; deg(
b
) = 1
Auxiliary generator:
ab=c
ac
a
2
⇒
c
c
2
a
2
⇒ (
ac
)
2
ab
⇒
c
cb
⇒ (
ac
)
2
# ab:aabaa=ab ac/b ab=c magic:0 acaa=c ccaa=acac ab=c cb=acac
Right Cayley graph (truncated)
Left Cayley graph (truncated)
