#182 ⟨
a
,
b
|
aabbaa
=
b
⟩
Up:
Monoids with two generators and one relation
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#181
⟨
a
,
b
|
aabbaa
=
a
⟩
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#183
⟨
a
,
b
|
aabbab
=
a
⟩
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
a
<
b
b
3
a
2
⇒
a
2
b
3
a
2
b
2
a
2
⇒
b
ba
b
2
a
2
⇒
a
2
b
2
ab
# ab:aabbaa=b ab bbbaa=aabbb aabbaa=b babbaa=aabbab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
