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Let Φ be any abstract measure of computational complexity, and let L denote the specific measure of memory resource (tape) on one tape Turing machines. Denote by Rt( )Φ the class of all total functions whose Φ-complexity is bounded by the function t( ) almost everywhere. Call such classes Φ-complexity classes. We are interested in relationships among these classes, under proper set inclusion (⊂)....
Iterative procedures have many advantages for computation, for instance an approximation to the final answer is provided even if the computation stops abruptly. A model for iterative computation is proposed where a procedure G executed repeatedly "converges" to a function f. A notion of approximation of functions on the integers is used based on limits of densities. Some results on the power...
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