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Titlebook: Computer Science Logic; 18th International W Jerzy Marcinkowski,Andrzej Tarlecki Conference proceedings 2004 Springer-Verlag Berlin Heidelb

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A Bounding Quantifieres that there is a finite bound on the size of sets satisfying .(.). Satisfiability is proved decidable for two fragments of MSOL+.: formulas of the form .X..(.), with . a .-free formula; and formulas built from .-free formulas by nesting ., ∃, ∨ and ∧.
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https://doi.org/10.1007/b1001203-SAT; AI logics; Erfüllbarkeitsproblem der Aussagenlogik; calculus; classical logic; complexity; computer
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The Adult Human Bronchial Tree,By viewing random 3-SAT as a distributional problem, we go over some of the notions of average-case complexity that were considered in the literature. We note that for dense formulas the problem is polynomial-time on average in the sense of Levin. For sparse formulas the question remains widely open despite several recent attempts.
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The Cartographic Atlas of the BrainRepresentative abstract interpretations of the proof theory of the classical propositional calculus are described. These provide invariants for proofs in the sequent calculus. The results of calculations in simple cases are given and briefly discussed.
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https://doi.org/10.1057/9781137345257We prove that higher-order matching in the linear .-calculus with pairing is decidable. We also establish its NP-completeness under the assumption that the right-hand side of the equation to be solved is given in normal form.
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Notions of Average-Case Complexity for Random 3-SATBy viewing random 3-SAT as a distributional problem, we go over some of the notions of average-case complexity that were considered in the literature. We note that for dense formulas the problem is polynomial-time on average in the sense of Levin. For sparse formulas the question remains widely open despite several recent attempts.
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