#516 ⟨
a
,
b
|
aabaa
=
aab
⟩
Up:
Monoids with two generators and one relation
Prev:
#515
⟨
a
,
b
|
aabaa
=
aaa
⟩
Next:
#517
⟨
a
,
b
|
aabaa
=
aba
⟩
Properties
Presentation has sum-of-sides 8
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 shortlex with
a
<
c
<
b
Auxiliary generator:
aab=c
cb
⇒
c
2
a
2
b
⇒
c
c
a
2
⇒
c
cab
⇒
cac
# ab:aabaa=aab acb aab=c magic:0 cb=cc aab=c caa=c cab=cac
Right Cayley graph (truncated)
Left Cayley graph (truncated)
