#1987 ⟨
a
,
b
|
aabbaaba
=
ba
⟩
Up:
Monoids with two generators and one relation
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#1986
⟨
a
,
b
|
aabbaaba
=
ab
⟩
Next:
#1988
⟨
a
,
b
|
aabbaaba
=
bb
⟩
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:
Right-to-left recursive path with deg(
a
) = deg(
c
) = 0,
a
<
c
; deg(
b
) = 1
Auxiliary generator:
bba=c
a
(
ac
)
2
⇒
c
a
2
caba
⇒
ba
bc
⇒ (
ca
)
2
ba
b
2
a
⇒
c
# ab:aabbaaba=ba reversed:ac/b bba=c frequency:3/0 aacac=c aacaba=ba bc=cacaba bba=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
