#6553 ⟨
a
,
b
|
aaa
=
a
,
baab
=
ab
⟩
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Monoids with two generators and two relations
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#6552
⟨
a
,
b
|
aaa
=
a
,
baab
=
aa
⟩
Next:
#6554
⟨
a
,
b
|
aaa
=
a
,
baab
=
bb
⟩
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
3
⇒
a
bab
⇒
a
2
b
b
a
2
b
⇒
ab
# ab:aaa=a,baab=ab ab aaa=a bab=aab baab=ab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
