#24667 ⟨
a
,
b
|
aa
=
a
,
ababbb
=
ba
⟩
Up:
Monoids with two generators and two relations
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#24666
⟨
a
,
b
|
aa
=
a
,
ababbb
=
ab
⟩
Next:
#24674
⟨
a
,
b
|
aa
=
a
,
abbabb
=
ab
⟩
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
aba
⇒
ba
a
b
2
a
⇒
b
2
a
a
b
3
a
⇒
b
3
a
ba
b
3
⇒
ba
b
4
a
⇒
ba
# ab:aa=a,ababbb=ba ab aa=a aba=ba abba=bba abbba=bbba babbb=ba bbbba=ba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
