Titlebook: Interactive Theorem Proving; First International Matt Kaufmann,Lawrence C. Paulson Conference proceedings 2010 Springer-Verlag Berlin Heid

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A Certified Denotational Abstract Interpreterfs. Most classical dataflow analysis techniques iterate operators on lattices without infinite ascending chains. In contrast, abstract interpreters are looking for fixpoints in infinite lattices where widening and narrowing are used for accelerating the convergence. Smart iteration strategies are cr

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Using a First Order Logic to Verify That Some Set of Reals Has No Lesbegue Measure given very general and reasonable constraints. A careful examination of Vitali’s proof identifies a set of axioms that are sufficient to prove Vitali’s theorem, including a first-order theory of the reals as a complete, ordered field, “enough” sets of reals, and the axiom of choice. The main contri

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(Nominal) Unification by Recursive Descent with Triangular Substitutionsirst order terms, the other for nominal terms (terms including .-equivalent binding structure). Both algorithms work with triangular substitutions in accumulator-passing style: taking a substitution as input, and returning an extension of that substitution on success.

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Programming Language Techniques for Cryptographic Proofse statement of security, and the hypotheses under which it is proved, are expressed using probabilistic programs. It provides a set of programming language tools (observational equivalence, relational Hoare logic, semantics-preserving program transformations) to assist in constructing proofs. Earlie

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