#2750 ⟨
a
,
b
|
baaba
=
abaab
⟩
Up:
Monoids with two generators and one relation
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#2749
⟨
a
,
b
|
baaba
=
aabbb
⟩
Next:
#2751
⟨
a
,
b
|
baaba
=
ababb
⟩
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
c
<
a
<
b
Auxiliary generator:
baa=c
a
c
2
⇒
c
2
a
acb
⇒
cba
b
c
2
⇒
c
2
b
b
a
2
⇒
c
# ab:baaba=abaab cab baa=c frequency:3/0 acc=cca acb=cba bcc=ccb baa=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
