[FOM] 204:Finite Extrapolation

[Vladimir Sazonov]

I remember some old, seemingly related works of Janis Barzdins 

http://www.lumii.lv/MII_staff/jbarzdin.html

and can find in this Web page some titles of papers like 

Barzdins J., Barzdins G., Apsitis K. and Sarkans U. Towards efficient
inductive synthesis of expressions from Input/Output examples. - 
Lc. Notes in Comp.Sc., v. 744, Springer Verlag, 1993, pp.59-72

and of his PhD student

1989 
 Alvis Brazma 
 Inductive synthesis of dots expressions 
 
May be Karlis Podnieks could help/comment more? 


Vladimir Sazonov

Harvey Friedman wrote:
> 
> Suppose we are told that a certain infinite set of positive integers begins
> with
> 
> 1,2,3.
> 
> We are asked to make our best guess as to what it is. We naturally guess the
> set of all positive integers. This appears to be the simplest extrapolation.
> 
> Suppose we are given the initial segment
> 
> 2,4,6.
> 
> We guess the set of all even positive integers.
> 

......