Titlebook: Structure in Complexity Theory; Proceedings of the C Alan L. Selman Conference proceedings 1986 Springer-Verlag Berlin Heidelberg 1986 Arit

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Relativized alternation,epends on the oracle. Such results are commonly taken as evidence of the difficulty of solving the unrelativized case, on the assumption that simple simulations and diagonalizations generalize to oracle machines. However, some simple simulations, such as the alternation theorems of Chandra, Kozen an

Ethics

The polynomial hierarchy and intuitionistic Bounded Arithmetic, the polynomial hierarchy. This is an extension of earlier work on the classical Bounded Arithmetic and was first conjectured by S. Cook. In contrast to the classical theories of Bounded Arithmetic where Σ.-definable functions are of interest, our results for intuitionistic theories concern all the

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Probabilistic game automata, [1] andthe interactive proof systems of Goldwasser, Micali and Rackoff [5]. We prove a number of results about another special case, ., which is a generalization of games against nature. In our notation, we let .(., resp.) denote the class of two-person games with unbounded two-sided error where on

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Resource-bounded Kolmogorov complexity of hard languages,is introduced. Among others we show that there exists a language L in DTIME(2.) such that the 2.-time-bounded Kolmogorov complexity of L is exponential almost everywhere. We study time-/space- bounded Kolmogorov complexity of languages that are DTIME(2.)-(SPACE (2.)-) hard under polynomial-time Turi

Antecedent

What is a hard instance of a computational problem?,y, an instance x is considered to be hard for a problem A if every algorithm that decides A and runs "fast" on x needs to look up (a description of) x in a table. A main result states that all problems not in P have infinitely many (polynomially) hard instances. Further, there exist problems in EXPT

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