#25250 ⟨
a
,
b
|
aa
=
a
,
bbabb
=
aba
⟩
Up:
Monoids with two generators and two relations
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#25247
⟨
a
,
b
|
aa
=
a
,
babbb
=
bbb
⟩
Next:
#25251
⟨
a
,
b
|
aa
=
a
,
bbabb
=
abb
⟩
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
2
⇒
a
b
(
ba
)
2
⇒
aba
b
2
b
2
a
b
2
⇒
aba
aba
b
2
a
⇒
aba
b
2
aba
b
3
a
⇒ (
ab
)
3
b
aba
b
4
⇒
a
(
ba
)
2
# ab:aa=a,bbabb=aba ab aa=a bbaba=ababb bbabb=aba ababba=ababb ababbba=abababb ababbbb=ababa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
