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Titlebook: Computer Science Logic; 17th International W Matthias Baaz,Johann A. Makowsky Conference proceedings 2003 Springer-Verlag Berlin Heidelberg

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Atomic Cut Elimination for Classical Logic,llows for a very simple cut elimination procedure based on plugging in parts of a proof, like normalisation in natural deduction and unlike cut elimination in the sequent calculus. It should thus be a good common starting point for investigations into both proof search as computation and proof normalisation as computation.
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On Relativisation and Complexity Gap for Resolution-Based Proof Systems,nomial, ., where . is the size of the finite model. Moreover, there is a very simple model-theoretics criteria which separates the two cases: the exponential lower bound holds if and only if Φ holds in some infinite model..In the present paper we prove several generalisations and extensions of the Complexity-Gap theorem.
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The Commuting V-Diagram,maps are the refinement steps between these objects. Our framework is able to define the correctness notion of test-cases, testing strategies as refinement rules, and which test-cases should be added under refinement.
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Verification of Infinite State Systems, We consider especially the basic problem of reachability analysis which consists in computing a (finite) representation of the (potentially infinite) set of reachable configurations..We show the main existing approaches to tackle this problem:
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Refined Complexity Analysis of Cut Elimination,and contractions similar to Statman’s lower bound example. The upper and lower bounds on cut elimination immediately translate into bounds on Herbrand’s theorem. Finally we discuss the role of quantifier alternations and show an elementary upper bound for the ∀ − ∧-case (resp. ∃ − ∨-case).
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Roger Radloff,William Bauer,Jerome Vinogradtential quantifiers. We show that the complexity of such extended problems is determined by the surjective polymorphisms of the constraint predicates. We give examples to illustrate how this result can be used to identify tractable and intractable cases for the quantified constraint satisfaction problem over arbitrary finite domains.
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