#13055 ⟨
a
,
b
|
baa
=
aab
,
abba
=
b
⟩
Up:
Monoids with two generators and two relations
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#13054
⟨
a
,
b
|
baa
=
aab
,
abba
=
a
⟩
Next:
#13056
⟨
a
,
b
|
baa
=
aab
,
abbb
=
a
⟩
Properties
Presentation has sum-of-sides 11
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
a
<
b
b
a
2
⇒
a
2
b
a
b
2
a
⇒
b
(
ba
)
2
⇒ (
ab
)
2
b
3
a
⇒
a
b
3
a
3
b
2
⇒
ba
a
2
ba
b
2
⇒
b
2
a
# ab:baa=aab,abba=b ab baa=aab abba=b baba=abab bbba=abbb aaabb=ba aababb=bba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
