#2158 ⟨
a
,
b
|
aaabaaa
=
bbb
⟩
Up:
Monoids with two generators and one relation
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#2157
⟨
a
,
b
|
aaabaaa
=
bab
⟩
Next:
#2159
⟨
a
,
b
|
aaabaab
=
aaa
⟩
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
a
3
⇒
b
3
b
4
a
3
⇒
a
3
b
4
b
3
ab
a
3
⇒
a
3
ba
b
3
b
3
a
2
b
a
3
⇒
a
3
b
a
2
b
3
# ab:aaabaaa=bbb ab aaabaaa=bbb bbbbaaa=aaabbbb bbbabaaa=aaababbb bbbaabaaa=aaabaabbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
