#993 ⟨
a
,
b
|
abbaaab
=
aa
⟩
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Monoids with two generators and one relation
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#992
⟨
a
,
b
|
ababbba
=
bb
⟩
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#994
⟨
a
,
b
|
abbaaab
=
ab
⟩
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 recursive path with deg(
c
) = deg(
a
) = 0,
c
<
a
; deg(
b
) = 1
Auxiliary generator:
bb=c
ac
a
2
c
a
3
c
⇒
a
2
a
(
a
3
c
)
2
⇒
ac
a
2
c
a
4
cb
⇒
bc
a
2
b
⇒
ac
a
3
c
b
2
⇒
c
# ab:abbaaab=aa ca/b bb=c frequency:2/3 acaacaaac=aa aaaacaaac=acaacaaaa cb=bc aab=acaaac bb=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
