#2349 ⟨
a
,
b
|
abbaaab
=
bba
⟩
Up:
Monoids with two generators and one relation
Prev:
#2348
⟨
a
,
b
|
abbaaab
=
bab
⟩
Next:
#2350
⟨
a
,
b
|
abbaaab
=
bbb
⟩
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:
Right-to-left recursive path with deg(
a
) = 0; deg(
c
) = deg(
b
) = 1,
c
<
b
Auxiliary generator:
bba=c
ac
a
2
b
⇒
c
cba
⇒
ac
a
2
c
b
2
a
⇒
c
c
2
a
2
b
⇒
b
2
c
# ab:abbaaab=bba reversed:a/cb bba=c magic:0 acaab=c cba=acaac bba=c ccaab=bbc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
