#842 ⟨
a
,
b
|
abaababa
=
b
⟩
Up:
Monoids with two generators and one relation
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#841
⟨
a
,
b
|
abaababa
=
a
⟩
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#843
⟨
a
,
b
|
abaabbab
=
a
⟩
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 shortlex with
b
<
a
ab
a
2
b
2
⇒ (
ba
)
3
(
aba
)
2
b
2
⇒
b
2
a
2
(
ba
)
2
(
aba
)
2
ba
⇒
b
# ab:abaababa=b ba abaabb=bababa abaababb=bbaababa abaababa=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
