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We consider the informal concept of “computability” or “effective calculability” and two of the formalisms commonly used to… Expand The use of conventional classical logic is misleading for characterizing the behavior of logic programs because a logic program… Expand A general theory of public-key cryptography is developed that is based on the mathematical framework of complexity theory. Two… Expand On introduit les termes du λ-calcul et les termes de la logique combinatoire d'ordres divers, correspondant aux niveaux de… Expand In this chapter we introduce the formal definitions of computational complexity of real functions. We first review the… Expand Preface Prologue, prerequisites and notation 1. Computable functions 2. Generating computable functions 3. Other approaches to… Expand This paper reviews algorithmic information theory, which is an attempt to apply information-theoretic and probabilistic ideas to… Expand 1. Beginning Mathematical Logic. 2. First-Order Logic. 3. First-Order Logic (continued). 4. Boolean Algebras. 5. Model Theory. 6… Expand Publisher Summary Inductive definitions of sets are often informally presented by giving some rules for generating elements of… Expand As a result of the work of Turing, Post, Kleene and Church [1, 2, 3, 9, 10, l l 12, 17, 18] it is now widely accepted ~ that the… Expand