#228 ⟨
a
,
b
|
ababa
=
ab
⟩
Up:
Monoids with two generators and one relation
Prev:
#227
⟨
a
,
b
|
ababa
=
aa
⟩
Next:
#229
⟨
a
,
b
|
ababa
=
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
c
2
a
⇒
c
ab
⇒
c
cb
⇒
c
3
# ab:ababa=ab ac/b ab=c magic:0 cca=c ab=c cb=ccc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
