#4171 ⟨
a
,
b
|
abb
=
aba
,
bbb
=
b
⟩
Up:
Monoids with two generators and two relations
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#4168
⟨
a
,
b
|
abb
=
aba
,
bba
=
a
⟩
Next:
#4172
⟨
a
,
b
|
baa
=
aab
,
bab
=
a
⟩
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.
b
3
⇒
b
[2]
2.
aba
⇒
a
b
2
[1]
# ab:abb=aba,bbb=b ba bbb=b aba=abb