#13225 ⟨
a
,
b
|
baa
=
aab
,
bba
=
aa
⟩
Up:
Monoids with two generators and two relations
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#13224
⟨
a
,
b
|
baa
=
aab
,
bab
=
bb
⟩
Next:
#13226
⟨
a
,
b
|
baa
=
aab
,
bba
=
ab
⟩
Quick links
Properties
Rewriting system
Properties
Presentation has sum-of-sides 11
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.
b
2
a
⇒
a
2
[2]
2.
a
2
b
⇒
b
a
2
[1]
3.
ab
a
2
⇒
b
a
3
[3]
# ab:baa=aab,bba=aa ba bba=aa aab=baa abaa=baaa