#1699 ⟨
a
,
b
|
aababbaab
=
a
⟩
Up:
Monoids with two generators and one relation
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#1698
⟨
a
,
b
|
aabababba
=
b
⟩
Next:
#1700
⟨
a
,
b
|
aababbaab
=
b
⟩
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 shortlex with
b
<
a
a
2
b
2
a
⇒
ab
a
2
b
a
2
ba
b
2
a
⇒ (
aba
)
2
b
a
2
(
ab
)
3
⇒ (
aba
)
2
ba
aba
(
ab
)
3
⇒
a
# ab:aababbaab=a ba aabba=abaab aababba=abaabab aaababab=abaababa abaababab=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
