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Titlebook: Computation and Logic in the Real World; Third Conference on S. Barry Cooper,Benedikt Löwe,Andrea Sorbi Conference proceedings 2007 Spring

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https://doi.org/10.1007/978-3-540-44778-8We present model–theoretic techniques to obtain conservation results for first order bounded arithmetic theories, based on a hierarchical version of the well known notion of an existentially closed model.
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-Trivial Closed Sets and Continuous Functions,We investigate the notion of .-triviality for closed sets and continuous functions. Every .-trivial closed set contains a .-trivial real. There exists a .-trivial . class with no computable elements. For any .-trivial degree ., there is a .-trivial continuous function of degree ..
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Stress in multikulturellen Teams,e local rule (lifting operation). As a particular consequence of these investigations, we prove that the long-standing conjecture [Surjectivity . Density of the Periodic Orbits (DPO)] is equivalent to the conjecture [Topological Mixing . DPO].
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Shifting and Lifting of Cellular Automata,e local rule (lifting operation). As a particular consequence of these investigations, we prove that the long-standing conjecture [Surjectivity . Density of the Periodic Orbits (DPO)] is equivalent to the conjecture [Topological Mixing . DPO].
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https://doi.org/10.1007/978-3-658-26009-5ata, the bad news is that such an optimal compression cannot be computed and that an increase in compression not necessarily implies a better theory. I discuss the application of these insights to DFA induction.
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,Stressregulation durch Gesundheitsstärkung,ed graphs, showing that this is complete for logspace (L) [Rei05]..This survey talk will focus on some of the remaining open questions dealing with graph reachability problems. Particular attention will be paid to these topics:
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