#2273 ⟨
a
,
b
|
aabbbaa
=
bab
⟩
Up:
Monoids with two generators and one relation
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#2272
⟨
a
,
b
|
aabbbaa
=
abb
⟩
Next:
#2274
⟨
a
,
b
|
aabbbaa
=
bbb
⟩
Properties
Presentation has sum-of-sides 10
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
a
2
b
3
a
2
⇒
bab
ba
b
4
a
2
⇒
a
2
b
4
ab
(
ba
)
2
b
3
a
2
⇒
a
2
b
3
(
ab
)
2
# ab:aabbbaa=bab ab aabbbaa=bab babbbbaa=aabbbbab bababbbaa=aabbbabab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
