#2560 ⟨
a
,
b
|
aabbba
=
bbab
⟩
Up:
Monoids with two generators and one relation
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#2559
⟨
a
,
b
|
aabbba
=
bbaa
⟩
Next:
#2561
⟨
a
,
b
|
aabbba
=
bbba
⟩
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
b
<
a
a
2
b
3
a
⇒
b
2
ab
a
2
b
5
ab
⇒
b
(
ba
)
2
b
3
a
# ab:aabbba=bbab ba aabbba=bbab aabbbbbab=bbababbba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
