#194 ⟨
a
,
b
|
abbaab
=
a
⟩
Up:
Monoids with two generators and one relation
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⟨
a
,
b
|
ababba
=
b
⟩
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#195
⟨
a
,
b
|
abbbba
=
a
⟩
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
3
b
⇒
ab
a
2
ab
a
2
b
⇒
a
b
2
a
2
a
b
2
a
2
b
⇒
a
# ab:abbaab=a ba aaab=abaa abaab=abbaa abbaab=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
