#982 ⟨
a
,
b
|
ababaab
=
aa
⟩
Up:
Monoids with two generators and one relation
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#981
⟨
a
,
b
|
abaabba
=
bb
⟩
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#983
⟨
a
,
b
|
ababaab
=
ab
⟩
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
)
2
a
2
b
⇒
a
2
a
(
a
2
b
)
2
⇒ (
ab
)
2
a
3
# ab:ababaab=aa ba ababaab=aa aaabaab=ababaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
