#222 ⟨
a
,
b
|
aabba
=
bb
⟩
Up:
Monoids with two generators and one relation
Prev:
#221
⟨
a
,
b
|
aabba
=
ba
⟩
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#223
⟨
a
,
b
|
abaab
=
aa
⟩
Properties
Presentation has sum-of-sides 7
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
⇒
b
2
a
2
b
4
⇒ (
b
2
a
)
2
# ab:aabba=bb ba aabba=bb aabbbb=bbabba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
