Title
Computation Of Recursive Functionals Using Minimal Initial Segments
Abstract
The following problem in the computation of partial recursive functionals is considered: Minimizing the length of initial segments of input functions containing all function values requested by a machine computing a partial recursive functional. A recursive functional F is constructed such that any algorithm for F has unbounded redundancy, i.e. it requests function values on inputs unboundedly larger than those on which the output of F depends. However, for any recursive functional F such that the length of the segment on which F depends is itself a recursive functional, a non-redundant machine for F can be effectively constructed. Also considered are machines on 0-1 sequences for which it is shown that a machine realizing a given level of significance in a universal test of randomness must have unbounded redundancy.
Year
DOI
Venue
1983
10.1016/0304-3975(83)90036-1
THEORETICAL COMPUTER SCIENCE
DocType
Volume
Issue
Journal
23
3
ISSN
Citations 
PageRank 
0304-3975
1
0.59
References 
Authors
5
2
Name
Order
Citations
PageRank
Dan Gordon121021.44
Eliahu Shamir22812.96