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B.T.A.E. Bassem Tarek Abdelraheem Elsayed Safieldeen
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Master thesis
(2019)
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Bassem Bassem Tarek Abdelraheem Elsayed Safieldeen, David Elkouss Coronas, Neil Yorke-Smith, Martijn Caspers
We present a powerful approach for learning about uncomputability and undecidability in informationtheory. Our approach is to use automata from automata theory that have undecidable properties toconstruct channels for which an information-theoretic quantity is uncomputable or undecidable. Wedemonstrate this approach by showing that, for channels with memory, capacity is uncomputable andinformation-stability is undecidable.
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We present a powerful approach for learning about uncomputability and undecidability in informationtheory. Our approach is to use automata from automata theory that have undecidable properties toconstruct channels for which an information-theoretic quantity is uncomputable or undecidable. Wedemonstrate this approach by showing that, for channels with memory, capacity is uncomputable andinformation-stability is undecidable.