#1252 ⟨
a
,
b
|
abaab
=
bbab
⟩
Up:
Monoids with two generators and one relation
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#1251
⟨
a
,
b
|
abaab
=
bbaa
⟩
Next:
#1253
⟨
a
,
b
|
abaab
=
bbba
⟩
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
c
<
a
<
b
Auxiliary generator:
ab=c
ab
⇒
c
b
2
c
⇒
cac
(
ac
)
2
⇒
cbc
a
c
2
bc
⇒
cbcac
# ab:abaab=bbab cab ab=c frequency:2/0 ab=c bbc=cac acac=cbc accbc=cbcac
Right Cayley graph (truncated)
Left Cayley graph (truncated)
