#52 ⟨
a
,
b
|
aba
=
ab
⟩
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Monoids with two generators and one relation
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#51
⟨
a
,
b
|
aba
=
aa
⟩
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#53
⟨
a
,
b
|
aba
=
bb
⟩
Properties
Presentation has sum-of-sides 5
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
<
c
<
b
Auxiliary generator:
ab=c
ab
⇒
c
ca
⇒
c
cb
⇒
c
2
# ab:aba=ab acb ab=c magic:0 ab=c ca=c cb=cc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
