Titlebook: Gems of Theoretical Computer Science; Uwe Sch?ning,Randall Pruim Book 1998 Springer-Verlag Berlin Heidelberg 1998 Kolmogorov complexity.Re

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Veronica Eliasson,Stylianos Koumlisell-known example of this disparity is the QuickSort algorithm. But it is possible — by means of Kolmogorov Complexity — to define a probability distribution under which worst-case and average-case running time (for . algorithms simultaneously) are the same (up to constant factors).

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The Equivalence Problem for LOOP(1)- and LOOP(2)-Programs,ierarchy of functions (contained in the primitive recursive functions) considers the depth of nesting of (FOR) loops. It turns out that there is a decided difference in the complexity of the equivalence problems for LOOP(l)- and LOOP(2)-programs: the former is coNP-complete, but the latter is undecidable.

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Kolmogorov Complexity, the Universal Distribution, and Worst-Case vs. Average-Case,ell-known example of this disparity is the QuickSort algorithm. But it is possible — by means of Kolmogorov Complexity — to define a probability distribution under which worst-case and average-case running time (for . algorithms simultaneously) are the same (up to constant factors).

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Equivalence Problems and Lower Bounds for Branching Programs,a certain (further restricted) model of branching programs, the equivalence problem is solvable in probabilistic polynomial time. For this model, explicit exponential lower bounds have also been proven.

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Modelle mit einer Zustandsgr??eierarchy of functions (contained in the primitive recursive functions) considers the depth of nesting of (FOR) loops. It turns out that there is a decided difference in the complexity of the equivalence problems for LOOP(l)- and LOOP(2)-programs: the former is coNP-complete, but the latter is undeci

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