#1146 ⟨
a
,
b
|
aaaaa
=
baab
⟩
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Monoids with two generators and one relation
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⟨
a
,
b
|
aaaaa
=
abbb
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#1147
⟨
a
,
b
|
aaaaa
=
babb
⟩
Properties
Presentation has sum-of-sides 9
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 recursive path with deg(
a
) = 0; deg(
b
) = 1
a
7
b
⇒
b
a
7
b
a
2
b
⇒
a
5
# ab:aaaaa=baab a/b aaaaaaab=baaaaaaa baab=aaaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
