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Titlebook: Logic and Computational Complexity; International Worksh Daniel Leivant Conference proceedings 1995 The Editor(s) (if applicable) and The A

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,On Herbrand’s theorem, give a direct proof, based on cut-elimination, of what is essentially Herbrand‘s original theorem. The “nocounterexample theorems” recently used in bounded and Peano arithmetic are immediate corollaries of this form of Herbrand‘s theorem. Secondly, we discuss the results proved in Herbrand‘s 1930 dissertation.
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Some consequences of cryptographical conjectures for S 2 1 and EF, system does not admit a feasible interpolation theorem unless the RSA cryptosystem is not secure, and that an extension of EF by tautologies .. (. primes), formalizing that . is not composite, as additional axioms does not admit feasible interpolation theorem unless factoring and the discrete logarithm are in ./..
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Characterizing parallel time by type 2 recursions with polynomial output length,iering of the initial functions reduces the output size to a polynomial; at the same time, type 2 recursion allows one to access the results of preceding computations without passing through an encoding.
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Conference proceedings 1995this interdisciplinary field of growing interest; they are presented in sections on foundational issues, applicative and proof-theoretic complexity, complexity of proofs, computational complexity of functionals, complexity and model theory, and finite model theory.
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0302-9743 plexity, complexity of proofs, computational complexity of functionals, complexity and model theory, and finite model theory.978-3-540-60178-4978-3-540-44720-7Series ISSN 0302-9743 Series E-ISSN 1611-3349
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https://doi.org/10.1007/3-540-60178-3Algorithmische Komplexität; Applicative Complexity; Applikative Komplexität; Beweistheoretische Komplex
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