#13236 ⟨
a
,
b
|
baa
=
abb
,
bba
=
aa
⟩
Up:
Monoids with two generators and two relations
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#13235
⟨
a
,
b
|
baa
=
abb
,
bab
=
bb
⟩
Next:
#13237
⟨
a
,
b
|
baa
=
abb
,
bba
=
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:
Right-to-left recursive path with deg(
b
) = 0; deg(
a
) = 1
b
5
a
⇒
b
4
a
a
b
2
⇒
b
3
a
a
2
⇒
b
2
a
b
3
aba
⇒
b
4
a
# ab:baa=abb,bba=aa reversed:b/a bbbbba=bbbba abb=bbba aa=bba bbbaba=bbbba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
