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

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Learning Languages with Decidable Hypotheses,ip problem is undecidable. In this paper, we use a different system which allows for naming arbitrary decidable languages, namely . (called .-indices). These indices have the drawback that it is now not decidable whether a given hypothesis is even a legal .-index..In this first analysis of learning
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The Lost Melody Theorem for Infinite Time Blum-Shub-Smale Machines,ticular, we show that the lost melody theorem (originally proved for ITTMs by Hamkins and Lewis), i.e. the existence of non-computable, but recognizable real numbers, holds for ITBMs, that ITBM-recognizable real numbers are hyperarithmetic and that both ITBM-recognizable and ITBM-unrecognizable real
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Randomising Realizability,sed computability with positive probability. In particular, we show that (i) the set of randomly realizable statements is closed under intuitionistic first-order logic, but (ii) different from the set of realizable statements, that (iii) “realizability with probability 1” is the same as realizabilit
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