#1199 ⟨
a
,
b
|
aabaa
=
aaba
⟩
Up:
Monoids with two generators and one relation
Prev:
#1198
⟨
a
,
b
|
aabaa
=
aaab
⟩
Next:
#1200
⟨
a
,
b
|
aabaa
=
aabb
⟩
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:
aaba=c
ca
⇒
c
cba
⇒
c
2
cbc
⇒
c
3
a
2
ba
⇒
c
a
2
bc
⇒
c
2
# ab:aabaa=aaba acb aaba=c magic:0 ca=c cba=cc cbc=ccc aaba=c aabc=cc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
