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

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Inverting Onto Functions and Polynomial Hierarchy, 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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Planarity, Determinants, Permanents, and (Unique) Matchings,ayered 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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Equivalence Problems for Circuits over Sets of Natural Numbers,zie and Wagner (2003) studied related . for circuits over sets of natural numbers. Our results also have consequences for these membership problems: We provide an improved upper bound for the case of { ∪ , ∩ , ., + ,×}-circuits.

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Marrying Words and Trees,ntext-free languages. We argue that for algorithmic verification of structured programs, instead of viewing the program as a context-free language over words, one should view it as a regular language of nested words (or equivalently, as a visibly pushdown language), and this would allow model checki

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Biological Catalysis and Biotechnology,systems. As a results, the validation problem is becoming more complex to solve and is indeed the main limiter for producing a high quality silicon products..Design abstraction and high level modeling is a fundamental design strategy to cope with system complexity. The basic idea is to hide design i

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