Write a description for $F(x+1,y,z)=H(z,F(x,y,z))$.
$begingroup$
Write a description for $F(x+1,y,z)=H(z,F(x,y,z))$.
I was thinking of using composition: $mathbf{C}(H,I_{3,3},...)$ where $I_{3,3}$ is used for the $z$ argument in $H$. But how do I finish this composition with the argument $F(x,y,z)$? Do I use identity?
logic recursion
asked Dec 1 '18 at 17:17
numericalorangenumericalorange
1,733311
$endgroup$
add a comment |
$begingroup$
Write a description for $F(x+1,y,z)=H(z,F(x,y,z))$.
I was thinking of using composition: $mathbf{C}(H,I_{3,3},...)$ where $I_{3,3}$ is used for the $z$ argument in $H$. But how do I finish this composition with the argument $F(x,y,z)$? Do I use identity?
logic recursion
asked Dec 1 '18 at 17:17
numericalorangenumericalorange
1,733311
$endgroup$
1
$begingroup$
Maybe you need primitive recursion function.
$endgroup$
– Mauro ALLEGRANZA
Dec 1 '18 at 17:25
$begingroup$
Could you give me an example on where to begin for this? Writing the argument $F(x,y,z)$ seems very confusing to me...
$endgroup$
– numericalorange
Dec 2 '18 at 2:27
add a comment |
$begingroup$
Write a description for $F(x+1,y,z)=H(z,F(x,y,z))$.
I was thinking of using composition: $mathbf{C}(H,I_{3,3},...)$ where $I_{3,3}$ is used for the $z$ argument in $H$. But how do I finish this composition with the argument $F(x,y,z)$? Do I use identity?
logic recursion
asked Dec 1 '18 at 17:17
numericalorangenumericalorange
1,733311
$endgroup$
Write a description for $F(x+1,y,z)=H(z,F(x,y,z))$.
I was thinking of using composition: $mathbf{C}(H,I_{3,3},...)$ where $I_{3,3}$ is used for the $z$ argument in $H$. But how do I finish this composition with the argument $F(x,y,z)$? Do I use identity?
logic recursion
logic recursion
asked Dec 1 '18 at 17:17
numericalorangenumericalorange
1,733311
asked Dec 1 '18 at 17:17
numericalorangenumericalorange
1,733311
asked Dec 1 '18 at 17:17
numericalorangenumericalorange
1,733311
asked Dec 1 '18 at 17:17
numericalorangenumericalorange
1,733311
asked Dec 1 '18 at 17:17
numericalorangenumericalorange
1,733311
1,733311
1
$begingroup$
Maybe you need primitive recursion function.
$endgroup$
– Mauro ALLEGRANZA
Dec 1 '18 at 17:25
$begingroup$
Could you give me an example on where to begin for this? Writing the argument $F(x,y,z)$ seems very confusing to me...
$endgroup$
– numericalorange
Dec 2 '18 at 2:27
add a comment |
1
$begingroup$
Maybe you need primitive recursion function.
$endgroup$
– Mauro ALLEGRANZA
Dec 1 '18 at 17:25
$begingroup$
Could you give me an example on where to begin for this? Writing the argument $F(x,y,z)$ seems very confusing to me...
$endgroup$
– numericalorange
Dec 2 '18 at 2:27
1
1
$begingroup$
Maybe you need primitive recursion function.
$endgroup$
– Mauro ALLEGRANZA
Dec 1 '18 at 17:25
$begingroup$
Maybe you need primitive recursion function.
$endgroup$
– Mauro ALLEGRANZA
Dec 1 '18 at 17:25
$begingroup$
Could you give me an example on where to begin for this? Writing the argument $F(x,y,z)$ seems very confusing to me...
$endgroup$
– numericalorange
Dec 2 '18 at 2:27
$begingroup$
Could you give me an example on where to begin for this? Writing the argument $F(x,y,z)$ seems very confusing to me...
$endgroup$
– numericalorange
Dec 2 '18 at 2:27
add a comment |
0
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1
$begingroup$
Maybe you need primitive recursion function.
$endgroup$
– Mauro ALLEGRANZA
Dec 1 '18 at 17:25
$begingroup$
Could you give me an example on where to begin for this? Writing the argument $F(x,y,z)$ seems very confusing to me...
$endgroup$
– numericalorange
Dec 2 '18 at 2:27