#2348 ⟨
a
,
b
|
abbaaab
=
bab
⟩
Up:
Monoids with two generators and one relation
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#2347
⟨
a
,
b
|
abbaaab
=
baa
⟩
Next:
#2349
⟨
a
,
b
|
abbaaab
=
bba
⟩
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 recursive path with deg(
a
) = deg(
c
) = 0,
a
<
c
; deg(
b
) = 1
Auxiliary generator:
ab=c
ab
⇒
c
cb
a
2
c
⇒
bc
acba
c
2
⇒
cbc
b
2
c
⇒
cba
c
2
cbacbc
⇒
bcba
c
2
# ab:abbaaab=bab ac/b ab=c frequency:2/0 ab=c cbaac=bc acbacc=cbc bbc=cbacc cbacbc=bcbacc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
