#574 ⟨
a
,
b
|
abba
=
aabb
⟩
Up:
Monoids with two generators and one relation
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#573
⟨
a
,
b
|
abba
=
aaba
⟩
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#575
⟨
a
,
b
|
abba
=
abab
⟩
Properties
Presentation has sum-of-sides 8
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
# ab:abba=aabb ba aabb=abba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
