#2673 ⟨
a
,
b
|
abaab
=
aabaa
⟩
Up:
Monoids with two generators and one relation
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#2672
⟨
a
,
b
|
abaab
=
aaabb
⟩
Next:
#2674
⟨
a
,
b
|
abaab
=
aabab
⟩
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
<
c
Auxiliary generator:
aabaa=c
cb
⇒
ac
c
a
2
⇒
abc
a
2
b
a
2
⇒
c
ab
a
2
b
⇒
c
cab
a
2
⇒
a
2
bac
# ab:abaab=aabaa abc aabaa=c magic:0 cb=ac caa=abc aabaa=c abaab=c cabaa=aabac
Right Cayley graph (truncated)
Left Cayley graph (truncated)
