#2468 ⟨
a
,
b
|
aaabba
=
bbbb
⟩
Up:
Monoids with two generators and one relation
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#2467
⟨
a
,
b
|
aaabba
=
bbba
⟩
Next:
#2469
⟨
a
,
b
|
aaabbb
=
aaaa
⟩
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:
Left-to-right shortlex with
a
<
b
a
3
b
2
a
⇒
b
4
b
4
a
2
b
2
a
⇒
a
3
b
6
# ab:aaabba=bbbb ab aaabba=bbbb bbbbaabba=aaabbbbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
