#2454 ⟨
a
,
b
|
aaabba
=
aaab
⟩
Up:
Monoids with two generators and one relation
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#2453
⟨
a
,
b
|
aaabba
=
aaaa
⟩
Next:
#2455
⟨
a
,
b
|
aaabba
=
aaba
⟩
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:
aaab=c
cba
⇒
c
a
3
b
⇒
c
c
a
2
b
⇒
cbc
# ab:aaabba=aaab abc aaab=c magic:0 cba=c aaab=c caab=cbc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
