#232 ⟨
a
,
b
|
abbba
=
bb
⟩
Up:
Monoids with two generators and one relation
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#231
⟨
a
,
b
|
abbba
=
ab
⟩
Next:
#233
⟨
a
,
b
|
aaaa
=
aaa
⟩
Properties
Presentation has sum-of-sides 7
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
b
3
a
⇒
b
2
b
5
a
⇒
a
b
5
# ab:abbba=bb ab abbba=bb bbbbba=abbbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
