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Titlebook: Logic, Language, Information, and Computation; 18th International W Lev D. Beklemishev,Ruy Queiroz Conference proceedings 2011 Springer Ber

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On the Expressive Power of IF-Logic with Classical Negation that, nevertheless, the expressive power of this logic does not go beyond .. As part of the proof, we give a prenex normal form result and introduce a non-trivial syntactic fragment of full second-order logic that we show to be contained in ..
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0302-9743 philosophical logics, such as complexity theory, model theory, partial order, Hoare logics, hybrid logics, Turing machines, etc.978-3-642-20919-2978-3-642-20920-8Series ISSN 0302-9743 Series E-ISSN 1611-3349
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Hybrid Logics and NP Graph PropertiesWe show that for each property of graphs . in NP there is a sequence .., .., ... of formulas of the full hybrid logic which are satisfied exactly by the frames in .. Moreover, the size of .. is bounded by a polynomial. We also show that the same holds for each graph property in the polynomial hierarchy.
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Relational Concepts and the Logic of Reciprocityakes such . to denote 〈1, 2 〉 generalized quantifiers over a given domain ., i.e. relations between subsets of E and binary relations over .. One of the reoccurring problems has been that reciprocal expressions seem to denote different quantifiers in different sentences.
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Turing Machines on Cayley Graphsnd conclude that the proper degree of generality is Cayley graphs. Surprisingly, this generalization does not lead to yet another equivalent formulation of the notion of computable function. Rather, it gives an alternative definition of the recursively enumerable Turing degrees that does not rely on oracles.
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