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Titlebook: Structural Complexity II; José Luis Balcázar,Josep Díaz,Joaquim Gabarró Book 1990 Springer-Verlag Berlin Heidelberg 1990 Kolmogorov comple

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Resource-Bounded Kolmogorov Complexity,a can be formalized as we do in this chapter, giving rise to a different concept of complexity, known as ., which has been succesfully used for proving lower bounds in a more concrete approach to complexity theory.
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Probability Classes and Proof-Systems,alizations of results from Chapters 6 and 8 in Volume I. Finally, in the last section, we prove that for a bounded number of interactions, interactive proof-systems classes and Arthur-Merlin classes coincide.
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Uniform Circuit Complexity,n modelling parallel computation, we wish to model the situation in which the number of processors is greater than the length of the input; however it is clear that any “real world” parallel computer should have a feasible number of processors. For this reason most of the theoretical research on par
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Bi-Immunity and Complexity Cores,y several different properties. A stronger notion is defined, and a construction of a set having this property is presented. Then it is shown that several properties of polynomial time .-reducibility and of the sets complete for this reducibility can be deduced from the existence of bi-immune sets.
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