#6740 ⟨
a
,
b
|
aba
=
a
,
aabb
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#6739
⟨
a
,
b
|
aba
=
a
,
aabb
=
ba
⟩
Next:
#6745
⟨
a
,
b
|
aba
=
a
,
abba
=
aa
⟩
Quick links
Properties
Rewriting system
Properties
Presentation has sum-of-sides 10
Infinite non-commutative monoid
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
b
<
a
Certificate
: derivations of all rewriting rules from the defining relations.
#
Rule
Proof
1.
a
b
2
⇒
b
3
[4]
2.
aba
⇒
a
[1]
3.
b
4
⇒
b
2
[5]
# ab:aba=a,aabb=bb ba abb=bbb aba=a bbbb=bb