#2344 ⟨
a
,
b
|
abbaaab
=
aab
⟩
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Monoids with two generators and one relation
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#2343
⟨
a
,
b
|
abbaaab
=
aaa
⟩
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#2345
⟨
a
,
b
|
abbaaab
=
aba
⟩
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 recursive path with deg(
b
) = deg(
c
) = 0,
b
<
c
; deg(
a
) = 1
Auxiliary generator:
aaab=c
ac
⇒
cbc
ab
(
bc
)
2
⇒
c
a
2
b
⇒
a
b
2
c
# ab:abbaaab=aab bc/a aaab=c frequency:4/0 ac=cbc abbcbc=c aab=abbc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
