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Titlebook: Logical Approaches to Computational Barriers; Second Conference on Arnold Beckmann,Ulrich Berger,John V. Tucker Conference proceedings 2006

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https://doi.org/10.1007/11780342algorithms; bioinformatics; calculus; classical computability; complexity; computability theory; computabl
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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/l/image/588123.jpg
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Deep Inference and Its Normal Form of Derivations,We see a notion of normal derivation for the calculus of structures, which is based on a factorisation of derivations and which is more general than the traditional notion of cut-free proof in this formalism.
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On the Complexity of the Sperner Lemma,We present a reduction from the Pigeon-Hole Principle to the classical Sperner Lemma. The reduction is used.1. to show that the Sperner Lemma does not have a short constant-depth Frege proof, and.2. to prove lower bounds on the Query Complexity of the Sperner Lemma in the Black-Box model of Computation.
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