#6345 ⟨
a
,
b
|
aab
=
a
,
abbab
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#6342
⟨
a
,
b
|
aab
=
a
,
abbaa
=
a
⟩
Next:
#6347
⟨
a
,
b
|
aab
=
a
,
abbba
=
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
a
2
b
⇒
a
a
b
2
⇒
b
bab
⇒
b
# ab:aab=a,abbab=b ab aab=a abb=b bab=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
