#4712 ⟨
a
,
b
|
aaba
=
a
,
bbaa
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#4711
⟨
a
,
b
|
aaba
=
a
,
babb
=
b
⟩
Next:
#4715
⟨
a
,
b
|
aaba
=
a
,
bbab
=
b
⟩
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:
Left-to-right shortlex with
a
<
b
b
2
a
⇒
aba
a
2
ba
⇒
a
ab
a
2
⇒
a
# ab:aaba=a,bbaa=a ab bba=aba aaba=a abaa=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
