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Titlebook: Certified Programs and Proofs; First International Jean-Pierre Jouannaud,Zhong Shao Conference proceedings 2011 Springer-Verlag GmbH Berli

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https://doi.org/10.1007/978-3-642-99749-5dle associative only operations, neutral elements, uninterpreted function symbols, and user-defined equivalence relations. By relying on type-classes for the reification phase, we can infer these properties automatically, so that end-users do not need to specify which operation is A or AC, or which constant is a neutral element.
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On Infinite Discontinuous Groups,d-size bit-vectors, although difficult because Z3’s proofs provide limited detail, is often possible. We thereby obtain high correctness assurances for Z3’s results, and increase the degree of proof automation for bit-vector problems in HOL4 and Isabelle/HOL.
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Papers on Group Theory and Topologyrn is proved correct in Coq w.r.t. Leroy’s operational semantics for C minor. Thus when our VeriSmall static analyzer claims some shape property of a program, an end-to-end machine-checked proof guarantees that the assembly language of the compiled program will actually have that property.
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Reconstruction of Z3’s Bit-Vector Proofs in HOL4 and Isabelle/HOLd-size bit-vectors, although difficult because Z3’s proofs provide limited detail, is often possible. We thereby obtain high correctness assurances for Z3’s results, and increase the degree of proof automation for bit-vector problems in HOL4 and Isabelle/HOL.
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Electrokinetics of the papermaking industry,the certification process and show that the certification time is reasonable even for industrial-size applications. As a case study, we automatically prove and certify more than 40% of the lemmas needed for the validation of a conformance algorithm for the ABR protocol.
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