#1774 ⟨
a
,
b
|
abaabbaba
=
b
⟩
Up:
Monoids with two generators and one relation
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#1773
⟨
a
,
b
|
abaabbaba
=
a
⟩
Next:
#1775
⟨
a
,
b
|
abaabbbba
=
a
⟩
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
ab
a
2
b
3
⇒ (
bab
)
2
a
aba
(
a
b
2
)
2
⇒
b
2
a
2
b
(
ba
)
2
ab
a
2
b
(
ba
)
2
⇒
b
# ab:abaabbaba=b ba abaabbb=babbaba abaabbabb=bbaabbaba abaabbaba=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
