#532 ⟨
a
,
b
|
aabba
=
abb
⟩
Up:
Monoids with two generators and one relation
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#531
⟨
a
,
b
|
aabba
=
aba
⟩
Next:
#533
⟨
a
,
b
|
aabba
=
baa
⟩
Properties
Presentation has sum-of-sides 8
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
<
c
Auxiliary generator:
abb=c
a
b
2
⇒
c
aca
⇒
c
c
b
2
⇒
a
c
2
c
2
a
⇒
a
c
2
# ab:aabba=abb abc abb=c magic:0 abb=c aca=c cbb=acc cca=acc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
