#24587 ⟨
a
,
b
|
ab
=
a
,
bbbbbbb
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#24584
⟨
a
,
b
|
ab
=
a
,
bbbbbba
=
a
⟩
Next:
#24658
⟨
a
,
b
|
aa
=
a
,
ababab
=
ab
⟩
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
7
⇒
b
# ab:ab=a,bbbbbbb=b ab ab=a bbbbbbb=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
