#1166 ⟨
a
,
b
|
aaaba
=
aaab
⟩
Up:
Monoids with two generators and one relation
Prev:
#1165
⟨
a
,
b
|
aaaba
=
aaaa
⟩
Next:
#1167
⟨
a
,
b
|
aaaba
=
aaba
⟩
Properties
Presentation has sum-of-sides 9
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:
aaab=c
ca
⇒
c
cb
⇒
c
2
a
3
b
⇒
c
# ab:aaaba=aaab acb aaab=c magic:0 ca=c cb=cc aaab=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
