#748 ⟨
a
,
b
|
aaaabaaa
=
b
⟩
Up:
Monoids with two generators and one relation
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#746
⟨
a
,
b
|
aaaaabbb
=
b
⟩
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#749
⟨
a
,
b
|
aaaabaab
=
a
⟩
Properties
Presentation has sum-of-sides 9
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
4
b
2
⇒
bab
a
3
a
4
bab
⇒
b
a
2
b
a
3
a
4
b
a
2
b
⇒ (
b
a
3
)
2
a
4
b
a
3
⇒
b
# ab:aaaabaaa=b ba aaaabb=babaaa aaaabab=baabaaa aaaabaab=baaabaaa aaaabaaa=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
