#25820 ⟨
a
,
b
|
ab
=
a
,
baaa
=
aaaa
⟩
Up:
Monoids with two generators and two relations
Prev:
#25725
⟨
a
,
b
|
aa
=
a
,
bbbb
=
babb
⟩
Next:
#25858
⟨
a
,
b
|
ab
=
a
,
bbaa
=
aaaa
⟩
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
a
3
⇒
a
4
a
5
⇒
a
4
# ab:ab=a,baaa=aaaa ab ab=a baaa=aaaa aaaaa=aaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
