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Titlebook: Computer Science - Theory and Applications; Second International Volker Diekert,Mikhail V. Volkov,Andrei Voronkov Conference proceedings 20

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Ernst Homburg,Anthony S. Travis function on that input.).We give a relativized negative answer to this question by exhibiting an oracle under which . functions are easy to compute but the polynomial-time hierarchy is infinite. We also show that relative to this same oracle, . and . functions are not computable in polynomial-time with an . oracle.
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https://doi.org/10.1007/978-1-4899-2498-8ayered grid graph (which is bimodal planar) is also complete for this class. We also relate the complexity of grid graph reachability to that of testing existence/uniqueness of a perfect matching in a planar bipartite graph.
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