#25858 ⟨
a
,
b
|
ab
=
a
,
bbaa
=
aaaa
⟩
Up:
Monoids with two generators and two relations
Prev:
#25820
⟨
a
,
b
|
ab
=
a
,
baaa
=
aaaa
⟩
Next:
#25866
⟨
a
,
b
|
ab
=
a
,
bbaa
=
baaa
⟩
Properties
Presentation has sum-of-sides 11
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
ab
⇒
a
b
2
a
2
⇒
a
4
a
5
⇒
a
3
# ab:ab=a,bbaa=aaaa ab ab=a bbaa=aaaa aaaaa=aaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
