Titlebook: Computation Theory and Logic; Egon Börger Book 1987 Springer-Verlag Berlin Heidelberg 1987 Algorithms.Automat.Boolean function.Variable.al

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Existential fixed-point logic,ogic instead of first-order logic removes the expressivity hypothesis in Cook‘s completeness theorem for Hoare logic. (3) In the presence of a successor relation, existential fixed-point logic captures polynomial time.

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Unsolvable decision problems for PROLOG programs,be recursively unsolvable. A particularly interesting application of this method gives an affirmative answer to Flannagan‘s [1985] conjecture that the floundering property for queries with respect to MU-PROLOG programs is undecidable.

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Randomness, provability, and the separation of Monte Carlo Time and space,em. For probabilistic complexity classes with deterministically constructible bounds the standard diagonalization techniques can be applied and yield at least as dense hierarchies as in the deterministic case. For Monte Carlo (i.e. bounded error probability) classes the situation is quite different.

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