#223 ⟨
a
,
b
|
abaab
=
aa
⟩
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Monoids with two generators and one relation
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#222
⟨
a
,
b
|
aabba
=
bb
⟩
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#224
⟨
a
,
b
|
abaab
=
ab
⟩
Properties
Presentation has sum-of-sides 7
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
b
<
a
ab
a
2
b
⇒
a
2
a
4
b
⇒
ab
a
3
# ab:abaab=aa ba abaab=aa aaaab=abaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)