#14350 ⟨
a
,
b
|
aaaa
=
a
,
ababb
=
b
⟩
Up:
Monoids with two generators and two relations
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#14349
⟨
a
,
b
|
aaaa
=
a
,
ababb
=
a
⟩
Next:
#14351
⟨
a
,
b
|
aaaa
=
a
,
abbab
=
a
⟩
Properties
Presentation has sum-of-sides 11
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
a
4
⇒
a
a
3
b
⇒
b
ba
b
2
⇒
a
2
b
b
(
ab
)
2
⇒
b
bab
a
2
b
⇒
ab
# ab:aaaa=a,ababb=b ab aaaa=a aaab=b babb=aab babab=b babaab=ab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
