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Titlebook: Evolving Computability; 11th Conference on C Arnold Beckmann,Victor Mitrana,Mariya Soskova Conference proceedings 2015 Springer Internation

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https://doi.org/10.1007/978-94-6209-230-3 and foundational errors. The suggestion is that ideas originating in the predicativity debate as a reply to foundational errors are now having profound influence to the way we try to address the issue of local errors. Here fundamental new interactions between computer science and mathematics emerge.
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,The Genre ‘Fairy Tale’ and its Research,ns in [.]. Here, we start exploring another analogue concerning recognizability rather than computability. We show that, for Infinite Time Register Machines (.s), if a real . is recognizable relative to all elements of a non-meager Borel set ., then . is recognizable.
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Gothic Transgression, Horror and Film, Furthermore, we show that our sorting network for . inputs is optimal in the sense that no sorting network using less layers exists. This solves the main open problem of [D. Bundala & J. Závodný. Optimal sorting networks, Proc. LATA 2014].
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Covering the Recursive Sets not i.o. subuniform. This shows that there are examples of classes that cannot be covered with methods other than probabilistic ones. It is easily seen that every set of hyperimmune degree can cover the recursive sets. We prove that there are both examples of hyperimmune-free degree that can and that cannot compute such a cover.
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Degrees of Unsolvability: A Tutorialms of finite type. We describe how the category of sheaves over . forms a model of intuitionistic mathematics, known as the .. This model is a rigorous implementation of Kolmogorov’s nonrigorous 1932 interpretation of intuitionism as a “calculus of problems”.
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Conference proceedings 2015 time in the conference series. In addition to this, new developments in areas frequently covered in the CiE conference series were addressed in the further special sessions on Automata, Logic and Infinite Games; Bio-inspired Computation; Classical Computability Theory; as well as History and Philosophy of Computing..
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978-3-319-20027-9Springer International Publishing Switzerland 2015
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Evolving Computability978-3-319-20028-6Series ISSN 0302-9743 Series E-ISSN 1611-3349
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