Titlebook: Connecting with Computability; 17th Conference on C Liesbeth De Mol,Andreas Weiermann,David Fernández- Conference proceedings 2021 Springer

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Fine-Grained Complexity Theory: Conditional Lower Bounds for Computational Geometry, lower bounds for polynomial-time problems based on the Orthogonal Vectors Hypothesis. Specifically, we discuss conditional lower bounds for nearest neighbor search under the Euclidean distance and Fréchet distance.

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The Lost Melody Theorem for Infinite Time Blum-Shub-Smale Machines,le real numbers, holds for ITBMs, that ITBM-recognizable real numbers are hyperarithmetic and that both ITBM-recognizable and ITBM-unrecognizable real numbers appear at every level of the constructible hierarchy below . above?..

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Randomising Realizability,first-order logic, but (ii) different from the set of realizable statements, that (iii) “realizability with probability 1” is the same as realizability and (iv) that the axioms of bounded Heyting’s arithmetic are randomly realizable, but some instances of the full induction scheme fail to be randomly realizable.